Some Transformation Formulas for Lauricella's Hypergeometric Functions FD

• Matsumoto Keiji

  Hokkaido University

• Ohara Katsuyoshi

  Kanazawa University

Abstract

In this paper, we give some functional equations with a parameter c for Lauricella's hypergeometric functions; they can be regarded as multivariable versions of the Gauss quadratic transformation formula for the hypergeometric function. These functional equations for c = 1 are utilized for the study of arithmetic-geometric means of several terms.

Journal

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 52 (2), 203-212, 2009

  Division of Functional Equations, The Mathematical Society of Japan

Keywords

• Hypergeometric functions
• Transformation formulas

Details

• CRID: 1390001205112628864
• NII Article ID: 130000140519
• NII Book ID: AA00652619
• DOI: 10.1619/fesi.52.203
• MRID: 2547102
• ISSN: 05328721
• Web Site: http://hdl.handle.net/2297/19390
• Web Site: http://www.jstage.jst.go.jp/article/fesi/52/2/52_2_203/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed