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Study on the properties for partial sums of analytic functions

Research Project

Project/Area Number 11640188
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionKinki University

Principal Investigator

OWA Shigeyoshi  Kinki University Faculty of Science and Technology Professor, 理工学部, 教授 (50088506)

Co-Investigator(Kenkyū-buntansha) SAIGO Megumi  Fukuoka University Faculty of Sciences Professor, 理学部, 教授 (10040403)
AOKI Takashi  Kinki University Faculty of Science and Technology Professor, 理工学部, 教授 (80159285)
IZUMI Shuzo  Kinki University Faculty of Science and Technology Professor, 理工学部, 教授 (80025410)
NUNOKAWA Mamoru  Gunma University Faculty of Education Professor, 教育学部, 教授 (00008137)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 2001: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 2000: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsunivalent function / starlike function / convex function / partial sum / integral operator / differential operator / rational function / hypergeometric / サブオーディネーション / 合成積 / Gauss 超幾何関数
Research Abstract

Let f(z) be analytic in the open unit disk. By using differential operators, integral operators, convolutions, subordinations and differential equations, we study some properties of analytic functions and rational functions.
In general, partial sums fn(z) of starlike functions and convex functions don't keep their Properties of functions f(z). Paper : 『S.Owa, Partial sums of certain analytic functions, International Journal of Mathematics and Mathematical Sciences Vol.25, No.12(2001), 771-775』 shows the radius of starlikeness or convexity of partial sums of extremal functions for classes of starlike functions or convex functions. More recently, we can see one idea for discussing such problem for partial sums. Furthermore, we are now trying to consider the partial sums of analytic functions of several complex variables.
For the fractional calculus operators, we consider the paper : 『J.Littlewood, On inequallities in the theoriy of functions, Proceedings of the London Mathematical Society Vol.23(1925), 481 ・・ 519』 Considering this paper, we know that we can discuss partial sums concern with the fractional calculus operators of analytic functions. Therefore, we would like to study partial sums of analytic functions with such new ideas and problems which we have during this study between 1999 and 2001 after finishing this project.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (126 results)

All Other

All Publications (126 results)

  • [Publications] T.Sekine, S.Owa: "Coefficient inequalities for certain univalent functions"Mathematical Inequalities and Applications. 2・4. 535-544 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa, J.Patel: "Properties of certain integral operators"Southeast Asian Bulletin of Mathematics. 24・3. 411-419 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Obradovic, S.Owa: "Some sufficient conditions for strongly starlikeness"International Journal of Mathematics and Mathematical Sciences. 24・9. 643-647 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.E.Cho, S.Owa: "Argument estimates of meromorphically multivalent functions"Journal of Inequalities and Applications. 5・5. 419-432 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa: "Partial sums of certain analytic functions"International Journal of Mathematics and Mathematical Sciences. 25・12. 771-775 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.E.Cho, S.Owa: "Sufficient conditions for meromorphic starlike and close-to-convexity of order α"International Journal of Mathematics and Mathematical Sciences. 26・5. 317-319 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Obradovic, S.Owa: "Analytic functions of non-Bazilevic type and starlikeness"International Journal of Mathematics and Mathematical Sciences. 26・11. 701-706 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Saita, S.Owa: "Convolutions of certain analytic functions"Algebras, Groups and Geometries. 18. 375-383 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] O.S.Kwon, S.Owa: "The radius of β-convexity for the classes of λ-spirallike order a functions"Scientiae Mathematicae japonicae Online. 5. 531-539 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J.H.Choi, Y.C.Kim, S.Owa: "Fractional calculus operator and its applications in the univalent functions"Fractional Calculus and Applied Ana1ysis. 4・3. 367-378 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.E.Cho, S.Y.Woo, S.Owa: "Argument estimates of certain meromorphic functions"Mathematica Balkanica. 15・3/4. 285-295 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa, M.Nunokawa, H.Saitoh, HM.Srivastava: "Close-to-convexity, starlikeness and convexity of certain analytic functions"Applied Mathematics Letters. 15・1. 63-69 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Kitamura, S.Owa: "On starlikeness and convexity of certain analytic functions"International Journal of Applied Mathematics. 8・1. 25-59 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, A.Ikeda, N.Koike, Y.Ota: "On multivalently convex and starlike functions"Mathematica Japonica. 49・2. 223-227 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, N.Koike, A.Ikeda: "Multivalent starlikeness conditions for analytic functions"Science Reports of Faculty of Education, Gunma University. 47. 1-6 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] O.P.Ahuja, M.Nunokawa: "Neighborhoods of analytic functions defined by Ruscheweyh derivatives"Mathematica Japonica. 51・3. 487-492 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, T.Sekine, N.Takahashi: "On Owa's conjecture for the convexity and starlikeness"群馬大学教育学部紀要. 48. 1-4 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, S.Owa: "On certain conditions for starlikeness"Southeast Asian Bulletin of Mathematics. 25. 491-494 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, S.Owa, A.Ikeda: "On the strongly starlikeness of multivalently convex functions of order α"International Journal of Mathematics and Mathematical Sciences. 28・1. 51-55 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, 0.P.Ahuja: "On meromorphic starlike and convex functions"Indian Journal of Pure and Applied Mathematics. 32・7. 1027-1032 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa: "On close-to-a concave functions"Science Reports of Faculty of Education Gunma University. 49. 1-6 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, Y.C.Kim.J.H.Choi, A.Ikeda: "On argument theorems of analytic functions"群馬大学教育学部紀要. 50. 1-8 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas, M.Saigo: "On the H-function"Journal of Applied Mathematics and Stochastic Analysis. 12・2. 191-204 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas, M.Saigo: "On solution of nonlinear Abel-Volterra integral equation"Journal of Mathematical Analysis and Applications. 229. 41-60 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A Kilbas, M.Saigo, A.Borovco: "On the Lommel-Maitland transform in L-space"Fractional Calculus and Applied Analysis. 2・4. 429-444 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] V.K.Tuan, M.Saigo: "Modified fractional integral operators in Lp space with power-logarithmic weight"Mathematica Japonica. 49・1. 145-150 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas, M.Saigo, A.Borovco: "On the generalized Hardy-Titchmarsh transform in L_<ν,γ>-space"Fukuoka University Science Reports. 30・1. 67-85 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.J.Glaeske, A.A.Kilbas, M.Saigo: "A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces and F_<p,μ> and F'_<p,μ>"Journal of Computational and Applied Mathematics. 118. 151-168 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas, M.Saigo: "Modified H-transforms in L_<ν,γ> -spaces"Demonstratio Mathematica. 28・3. 603-625 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.K Karapetyants, A.A.Kilbas, M.Saigo, S.G.Samko: "Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity"Journal of Integral Equations and Applications. 12・4. 421-448 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.J.Glaeske, M.Saigo: "On a hybrid Laguerre-Fourier transform"Integral Transforms and Special Functions. 10・3/4. 227-238 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas, M.Saigo, J.J.Trujillo: "On the Meijer transform in L_<ν,γ>-space"Integral Transforms and Special Functions. 10・3/4. 267-282 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.C.Kim, J.H.Choi, M.Saigo: "Some properties of convolution operators involving Carlson-Shaffer operator"PanAmerican Mathematical Journal. 10・2. 51-60 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Saigo, A.A.Kilbas: "On the solution of a class of linear differential equations via functions of the Mittag-Leffler type"Differential Equations. 36・3. 193-202 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.C.Kim, A.Lecko, J.H.Choi, M.Saigo: "Differential subordinations for fractional linear transformations"International Journal of Mathematics and Mathematical Sciences. 23・3. 109-117 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] V.K.Tuan, A.Ismail, M.Saigo: "Plancherel and Paley-Weiner theorems for an index integral transform"Journal of the Korean Mathematical Society. 37・4. 545-563 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.Ikeda, M.Saigo: "On some angular estimates of close-to-convex functions"Fukuoka University Science Reports. 30・1. 9-15 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Saigo, A.A.Kilbas: "Modified G-transforms and generalized Stieltjes transform in L_<ν,μ>-space"Fukuoka University Science Reports. 30・2. 181-200 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] R.K.Raina, H.MI.Srivastava, A.A.Kilbas, M.Saigo: "Solvability of some Abel-type integral equations involving the Gauss hypergeometric functions as kernels in the spaces of summable functions"ANZIAM Journal. 43. 291-320 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Sekine and S.Owa: "Coefficient inequalities for certain univalent functions"Math, Inequ. Appl.. 2(4). 535-544 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa and J.Patel: "Properties of certain integral operators"Southeast Asian Bull. Math. 24(3). 411-419 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Obradovic and S.Owa: "Some sufficient conditions for strongly starlikeness"Internat. J. Math. Math. Sci.. 24(9). 643-647 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.E.Cho and S.Owa: "Argument estimates of meromorphically multivalent functions"J. Inequa. Appl. 5(5). 419-432 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa: "Partial sums of certain analytic functions"Internat. J. Math. Math. Sci.. 25(12). 771-775 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.E.Cho and S.Owa: "Sufficient conditions for meromorphic starlike and close-to-convexity of order α"Internat. J. Math. Math. Sci.. 26(5). 317-319 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Obradovic and S.Owa: "Analytic functions of non-Bazilevic type and starlikeness"Internat. J. Math. Math. Sci.. 26(11). 701-706 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Saita and S.Owa: "Convolutions of certain analytic functions"Algebras, Groups and Geometries. 18. 375-383 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] O.S.Kwon and S.Owa: "The radius of β -convexity for the classes of λ spirallike order α functions"Sci. Math. Japon. Online. 5. 531-539 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J.H.Choi, Y.C.Kim and and S.Owa: "Fractional calculus operator and its applications in the univalent functions"Franctional calculus and Appl. Anal.. 4(3). 357-378 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.E.Cho, S.Y.Woo and S.Owa: "Argument estimates of certain meromorphic functions"Math. Balkanica. 15(3/4). 285-295 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa, M.Nunokawa, H.Saitoh and H.M.Srivastava: "Close-to-convexity, starlikeness and convexity of certain analytic functions"Appl. Math. Letters. 15(1). 63-69 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.Kitamura and S.Owa: "On starlikeness and convexity of certain analytic functions"Internat. J. Appl. Math. 8(1). 25-59 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, A.Ikeda, N.Koike and Y.Ota: "On multivalently convex and starlike functions"Math. Japon. 49(2). 223-227 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, N.Koike and A.Ikeda: "Multivalent starlikeness conditions for analytic functions"Sei. Rep. Fac. Edu. Gunam Univ. 47. 1-6 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] O.P.Ahuja and M.Nunokawa: "Neighborhoods of analytic functions defined by Ruscheweyh derivatives"Math. Japon. 51(3). 487-492 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, T.Sekine and N.Takahashi: "On Owa's conjecture for the convexity and starlikeness"Sei. Rep. Fac. Edu. Gunma Univ. 48. 1-4 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa and S.Owa: "On certain conditions for starlikeness"Southeast Asian Bull. Math. 25. 491-494 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, S.Owa and A.Ikeda: "On the strongly starlikeness of multivalently convex functions of order α"Internat. J. Math. Math. Sci.. 2881). 51-55 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa and O.P.Ahuja: "On meromorphic starlike and convex functions"Indian J. Pure Appl. Math.. 32(7). 1027-1032 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa: "On close-to-α concave functions"Sci. Rep. Fac. Edu. Gunma Univ. 49. 1-6 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.Nunokawa, Y.C.Kim, J.H.Choi and A.Ikeda: "On argument theorems of analytic functions"Sci. Rep. Fac. Edu. Gunma Univ. 50. 1-8 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas and M.Saigo: "On the H-function"J. Appl. Math. Stoch. Anal. 12(2). 191-204 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas and M.Saigo: "On solution of nonlinear Abel-Volterra integral equation"J. Math, Anal. Appl.. 229. 41-60 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas and M.Saigo and A Borovco: "On the Lommel-Maitland transform in L-space"Franctional calculus and Appl. Anal.. 2(4). 429-444 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] V.K. Tuan and M.Saigo: "Modified fractional integral operators in Lp space with power-logarithmic weight"Math. Japon. 49(1). 145-150 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A Kilbas, M. Saigo and A. Borovco: "On the generalized Hardy-Titchmarsh transform in Lvy space"Fukuoka Univ. Sci. Rep. 30(1). 67-85 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.J. Glaeske, A.A Kilbas and M. Saigo: "A modified Bessel-type integral transform and its compositions with fractional calculus operators on spaces Fp, u and F' p, u"J, Compu. Appl. Math. 118. 151-168 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas and M.Saigo: "Modified H-transform in Lv.r-spaces"Demonstr. Math. 28(3). 603-625 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] N.K Karapetyants, A.A Kilbas, M. Saigo and S.G. Samko: "Upper and lower bounds for solutions of nonlinear Volterra convolution integral equations with power nonlinearity"J. Integral Equ. Appl. 12(4). 421-448 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] H.J. Glaeske and M. Saigo: "On a hybrid Laguerre-Fourier transform"Integral Transform and Special Func.. 10(3/4). 227-238 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.A.Kilbas, M.Saigo and J.J Trujillo: "On the Meijier transform in Lv, r-space"Integral Transform and Special Func.. 10(3/4). 267-282 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.C. Kim, J.H. Choi and M. Saigo: "Some properties of convolution operators involving Carson-Shaffer operator"PanAmerican Math. J.. 10(2). 51-60 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Saigo and A.A Kilbas: "On the solution of a class of linear differential equations via functions of the Mittag-Leffler type"Differential Equa. 36(3). 193-202 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.C. Kim, A. Lecko, J.H. Choi and M. Saigo: "Differential subordinations for fractional linear transformations"Internat. J. Math. Math. Sci.. 23(3). 109-117 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] V.K. Tuan, A. Ismail and M. Saigo: "Plancherel and Paley-Weiner theorems for an index integral transform"J. Korean Math. Soc.. 37(4). 545-563 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A. Ikeda and M. Saigo: "On some angular estimates of close-to-convex functions"Fukuoka Univ. Sci. Rep. 30(1). 9-15 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M. Saigo and A.A Kilbas: "Modified G-transforms and generalized Stieltjes transform in Lv. R-space"Fukuoka Univ. Sci. Rep. 30(2). 181-200 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] R.K. Raina, H.M. Srivastava, A.A. Kilbas and M. Saigo: "Solvability of some Abel-type integral equations involving the Guass hypergeometric functions as kernels in the spaces of summable functions"ANZIAM J. 43. 291-320 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S.Owa: "Partial sums of certain analytic functions"International Journal of Mathematics and Mathematical Sciences. 25・12. 771-775 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] N.E.Cho, S.Owa: "Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α"International Journal of Mathematics and Mathematical Sciences. 26・5. 317-319 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Obradovic, S.Owa: "Analytic functions of non-Bazilevic type and starlikeness"International Journal of Mathematics and Mathematical Sciences. 26・11. 701-706 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] J.H.Choi, Y.C.Kim, S.Owa: "Fractional calculus operator and its applications in the univalent functions"Fractional Calculus and Applied Analysis. 4・3. 367-378 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] N.E.Cho.S.Y.Woo, S.Owa: "Argument estimates of certain meromorphic functions"Mathematica Balkanica. 15・3/4. 285-295 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Saita, S.Owa: "Convolutions of certain analytic functions"Algebras, Groups and Geometries. 18・4. 375-383 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] O.S.Kwon, S.Owa: "The radius of β-convexity for the classes of λ-spirallike order α functions"Scientiae Mathematicae Japonicae. 5・11. 531-539 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] H.Kitamura, S.Owa: "On starlikeness and convexity of certain analytic functions International"International Journal of Applied Mathematics. 8・1. 25-59 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] S.Owa, M.Nunokawa, H.Saitoh, H.M.Srivastava: "Close-to-convexity, starlikeness, and convexity of certain analytic functions"Applied Mathematics Letters. 15・1. 63-69 (2002)

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      2001 Annual Research Report
  • [Publications] S.Owa, S.Saita: "Generalization properties of convolutions"International Journal of Applied Mathematics. 8・4. 425-440 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] V.Pescar, S.Owa: "Sufficient conditions for univalence of certain integral operators"Indian Journal of Mathematics. 44・4. 1-5 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] J.Nishiwaki, S.Owa: "Coefficient inequalities for certain analytic functions"International Journal of Mathematics and Mathematical Sciences. 29・5. 285-290 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] R.K.Raina, H.M.Srivastava, A.A.Kilbas, M.Saigo: "Solvability of some Abel-type integral equations involving the Gauss hypergeometric function as kernels in the spaces of summable functions"ANZIAM Journal. 43・2. 291-320 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] M.Nunokawa, O.P.Ahuja: "On meromorphic starlike and convex functions"Indian Journal of Pure and Applied Mathematics. 32・7. 1027-1032 (2001)

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      2001 Annual Research Report
  • [Publications] M.Nunokawa: "On close-to-concave functions"Science Reports of Faculty of Education, Gunma University. 49. 1-6 (2001)

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      2001 Annual Research Report
  • [Publications] M.Nunokawa, S.Owa, A.Ikeda: "On the strongly starlikeness of multivalently convex functions of order α"International Journal of Mathematics and Mathematical. Sciences. 28・1. 51-56 (2001)

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      2001 Annual Research Report
  • [Publications] O.S.Kwon, S.Owa: "Radius of strongly starlikeness for certain analytic functions"International Journal of Mathematics and Mathematical Sciences. 29・5. 271-278 (2002)

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      2001 Annual Research Report
  • [Publications] S.Owa and J.Patel: "Properties of certain integral operators"Southeast Asian Bulletin of Mathematics. 24・3. 411-419 (2000)

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      2000 Annual Research Report
  • [Publications] N.E.Cho arid S.Owa: "Argument estimates of meromorphically multivalent functions"Journal of Inequalities and Applications. 5・5. 419-432 (2000)

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      2000 Annual Research Report
  • [Publications] V.Pescar and S.Owa: "Univalence of certain integral operators"International Journal of Mathematics and Mathematical Sciences. 23・10. 697-701 (2000)

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      2000 Annual Research Report
  • [Publications] M.Obradovic and S.Owa: "Some sufficient conditions for strongly starlikeness"International Journal of Mathematics and Mathematical Sciences. 24・9. 643-647 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] N.E.Cho and S.Owa: "Sufficient conditions for meromorphic starlikeness and close-to-convexuty of order α"International Journal of Mathematics and Mathematical Sciences. (inpress). (2001)

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      2000 Annual Research Report
  • [Publications] S.Owa: "Partial sums of certain analytic functions"International Journal of Mathematics and Mathematical Sciences. (inpress). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Obradovic and S.0wa: "Analytic functions of non-Bazilevic type and starlikeness"International Journal of Mathematics and Mathematical Sciences. (to appear).

    • Related Report
      2000 Annual Research Report
  • [Publications] N.E.Cho,S,Y.Woo and S.Owa: "Argument estimatesof certain meromorphic functions"Mathematica Balkanica. (to appear).

    • Related Report
      2000 Annual Research Report
  • [Publications] M.Saigo and A.A.Kilbas: "The solution of a class of linear differential equations via functions of the Mittag-Leffler"Differential Equations. 36・2. 168-176 (2000)

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      2000 Annual Research Report
  • [Publications] Y.C.Kim,A.Lecko,J.H.Choi and M.Saigo: "Differential subordinations for fractional-linear transformations"International Journal of Mathematics and Mathematical Sciences. 23・2. 109-117 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] R.K.Saxena and M.Saigo: "An integral equation containing product of Gauss hypergeomentric function and the H-function in the kernel"Journal of Fractional Calculus. 17. 103-114 (2000)

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  • [Publications] H.-J.Glaeske,A.A.Kilbas and M.Saigo: "A modified Bessel-type integral transform and its compositions with fractional calculus operators on the space F_p,μ and F'_p,μ"Journal of Computational and Applied Mathematics. 118. 151-168 (2000)

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  • [Publications] V.K.Tuan,A.Ismail and M.Saigo: "Plancherel and Paley-Wiener theorems for an index integral transform"Journal of the Korean Mathematical Society. 37・4. 545-563 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.A.Kilbas and M.Saigo: "Modified H-transforms in Lv,r-spaces"Demonstratio Mathematica. 33・3. 603-625 (2000)

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  • [Publications] Y.C.Kim,J.H.Choi and M.Saigo: "Some properties of convolution operators involving Carlson-Shaffer operator"PanAmerican Mathematical Journal. 10・2. 51-60 (2000)

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  • [Publications] M.Saigo and A.A.Kilbas: "Modified G-transforms and generalized Stieltjes transform in Lv,r-space"Fukuoka University Science Reports. 30・2. 181-200 (2000)

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  • [Publications] 0.P.Ahuja and M.Nunokawa: "Neighborhoods of analytic functions defined by Ruscheweyh derivatives"Mathematica Japonica. 51・3. 181-200 (2000)

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  • [Publications] 布川護,関根忠行,高橋典宏: "凸型性と星型性に関する尾和予想について"群馬大学教育学部紀要. 48. 1-4 (2000)

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  • [Publications] M.Nunokawa and S.Owa: "On certain conditions for starlikeness"Southeast Asian Bulletin of Mathematics. (to appear).

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      2000 Annual Research Report
  • [Publications] M.Nunokawa,S.0wa and A.Ikeda: "On the strongly starlikeness of multivalently convex functions of order α"International Journal of Mathematics and Mathematical Sciences. (to appear).

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      2000 Annual Research Report
  • [Publications] T.Sekine and S.Owa: "Coefficent inequalities for certain univalent functions"Mathematical Inequalities and Applications. 2-4. 535-544 (1999)

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      1999 Annual Research Report
  • [Publications] S.Owa and J.Patel: "Properties of certain integral operators"Southeast Asian Bulletin of Mathematics. 24-3(in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] N.E.Cho and S.Owa: "Argument estimates of meromorphically multivalent functions"Journal of Inequalities and Applications. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M.Obradovic and S.Owa: "Some sufficient conditions for strongly starlikeness"International Journal of Mathematics and Mathematical Sciences. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] N.E.Cho and S.Owa: "Sufficient conditions for meromorphic starlikeness and close-to-convexity of order α"International Journal of Mathematics and Mathematical Sciences. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] V.Pescar and S.Owa: "Sufficient conditions for univalence of certain integral operators"Indian Journal of Mathematics. (to appear).

    • Related Report
      1999 Annual Research Report
  • [Publications] Vu K.T. and M.Saigo: "Modified fractional integral operators in L_p space with power-logarithmic weight"Mathematica Japonica. 49-1. 145-150 (1999)

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      1999 Annual Research Report
  • [Publications] A.A.Kilbas and M.Saigo: "On solution of nonlinear Abel-Volterra integral equation"Journal of Mathematical Analysis and Applications. 239-1. 41-60 (1999)

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      1999 Annual Research Report
  • [Publications] M.Saigo and A.A.Kilbas: "Generalized fractional calculus of the H-function"Fukuoka University Science Reports. 29-1. 31-45 (1999)

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      1999 Annual Research Report
  • [Publications] A.A.Kilbas,R.K.Raina,M.Saigo and H.M.Srivastava: "On Solution of Abel's type multidimensional hypergeometric integral equations (Russian)"Doklady Natsional'noi Akademii Nauk Belarusi. 43-2. 23-26 (1999)

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      1999 Annual Research Report
  • [Publications] A.A.Kilbas,M.Saigo and H.-J.Glaeske: "Modified Bessel type integral transform and its compositions with fractional integration and differentiation operators(Russian)"Doklady Natsional'noi Akademii Nauk Belarusi. 43-4. 26-30 (1999)

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Published: 2000-04-01   Modified: 2016-04-21  

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