Study of hypergeometric functions

2009 Fiscal Year Self-evaluation Report

• Project/Area Number: 19340034
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Basic analysis
• Research Institution: Kyushu University
• Principal Investigator: YOSHIDA Masaaki Kyushu University, 大学院・数理学研究院, 教授 (30030787)
• Project Period (FY): 2007 – 2010
• Keywords: 超幾何 / 黒写像 / 又黒写像 / 交叉数

Research Abstract

(1)白頭絡の補集合の基本群を測多価群に持つ超幾何微分方程式の又黒写像の研究。
(2)Eulerによる超幾何関数の積分表示に付随する捻表路地群の構造の研究
(3)黒写像の隣接関係
(4)的が又曲3-空間である超幾何的又黒写像(像曲面は又曲的平前曲面)の特異点解析
(5)超幾何的亜黒写像の研究

Research Products

• [Journal Article] Hyperbolic Schwarz map for the confluent hypergeometric functions (2009)
  • Author(s): Sasaki, Saji, Yoshida
  • Journal Title: J Math Soc Japan 61 Pages: 559-578
  • Peer Reviewed
• [Journal Article] Surface singularities appeared in the hyperbolic Schwarz map for the hypergeometric equation (2009)
  • Author(s): Sasaki, Yoshida
  • Journal Title: Prog in Mth. 283 Pages: 247-272
  • Peer Reviewed
• [Journal Article] Singularities of parallel families of flat fronts and their caustics, and a detailed study of an example arising from the hyperbolic schwarz map of a hypergeometric equation (2009)
  • Author(s): Sasaki, Yoshida
  • Journal Title: Result in Math 56 Pages: 369-385
  • Peer Reviewed
• [Presentation] 離散的超幾何的又黒写像 (2009)
  • Organizer: 可積分系云々集会
  • Place of Presentation: 函館未来大学
  • Year and Date: 2009-08-11