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JackのLemmaの応用について

Research Project

Project/Area Number 05640150
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionGunma University

Principal Investigator

布川 護  群馬大学, 教育学部, 教授 (00008137)

Co-Investigator(Kenkyū-buntansha) 小関 〓純  群馬大学, 教育学部, 教授 (80170257)
福島 博  群馬大学, 教育学部, 助教授 (30125869)
大竹 公一郎  群馬大学, 教育学部, 教授 (60134269)
伊藤 隆  群馬大学, 教育学部, 助教授 (40193495)
斎藤 斉  群馬工業高等専門学校, 助教授 (10042607)
Project Period (FY) 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1993: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywords単葉関数論 / gackのlemma / Caratheodory functions. / subordination. / multivalent functions. / argument theorems. / Nunokawa's lemma
Research Abstract

1.イギリスのYork大学のI.S.gackが1971年にJour.of London Math. Sac.に発表したlemmaはgackのlemmaと呼ばれて解析関数のいろいろな問題に応用されて大いに役立っている.布川はこのgackのlemmaを用いて偏角に関する一つの定理をつくった(Proceedings of Japan Academy.Vol.68,Ser A,No.6 (1992),152-153).この定理は簡潔ではあるが,なかなか強力である.この布川の定理を用いて今年度も多くの研究成果を上げることができた.
この布川の定理が案外に有効であることに気が付いているのは私と近幾大学の尾和氏だけであり,これを用いて今後,更に多くの成果が期待できる.
今年度の研究実績については添付の資料にある様に13編の研究成果を公にし,約10編の論文を投稿審査中,ないしは準備中である.
2.科学研究費を受領できたお陰で充実した研究成果を上げ,沢山の研究交流をすることができかつまた多くの研究資料を収集することができたことに深く感謝いたします.

Report

(1 results)
  • 1993 Annual Research Report
  • Research Products

    (21 results)

All Other

All Publications (21 results)

  • [Publications] 布川 護: "単葉であるための一つの十分条件について" 数学(日本数学会). 46巻1号. 68-69 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "On the order of strongly atarlikeness of strongly conuex functions" Proceedings of Japan Academy. 69巻の7. 234-237 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "On certain differential subordination" PanAmerican Mathematical Journal. 3の2. 35-38 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Owa(布川): "A criterion for P-valently starlike functions" International Journal of Mathematics and Math. Sciences.17の1. 205-207 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Owa(布川): "Neighborhoods of certain analytic functions" Applied Mathematics Letters. 6の4. 73-77 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "Some lower bounds for the real part of analytic functions" Science Report of Faculty of Education. Gunma Univ.41. 21-24 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Saitoh(布川): "Improvements of results for certain multivalent functions" Chinese Journal of Mathematics. 21の4. 327-331 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.K.Lee(布川): "On analytic functions with certain differential inequality" Pusau Kyongnam Mathematical Journal. 9の1. 99-104 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Saitoh(布川): "A note on certain differential operator" 群馬高専レビュー. 12. 29-33 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "Arguments of certain analytic functions" Chinese Journal of Mathematics. (accepted). (1994or1995)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "On α-starlike functions" Bulletin of the Institute of Mathematics. Academia Sinica. (accepted). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "On some angular ertimates of analytic functions" Mathematica Japonica. (accepted).

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "On a problem of Miller and Mocanu" Yokohama Mathematical Journal. 40. 111-113 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Saitoh: "Improvements of results for certain multivalent functions" Chinese Jour. of Math.21の4. 327-331 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] H.Saitoh: "A note on certain differential operator" 群馬高専レビュー. 12. 29-33 (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Nunokawa: "Arguments of certain analytic functions" Chinese Jour. of Mathematics. (Accepted). (1994or1995)

    • Related Report
      1993 Annual Research Report
  • [Publications] S.Owa(斎藤): "Neighborhoods of certain analytic functions" Applied Mathematics Letters. 6の4. 73-77 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.Ohtake: "On a generalization of Morita duality and its application" Proceedings of the symposium on ring theory. 26. 89-95 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Hiroshi Fukushima: "P-dengths of P-radical groups are unlounded" Journal of Algebra. 167(予定). (1994)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小関 煕純: "文字式による論証(第4次報告)" 日本数学教育学会誌. 75-7. 10-18 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] 小関 煕純: "数学的な見方・考え方を育てる課題学習" 明治図書, 150 (1993)

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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