Some multiple hypergeometric transformations and associated reduction formulas

被引：8

作者：

Chan, WCC

Chen, KY

Chyan, CJ

Srivastava, HM ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Tamkang Univ, Dept Math, Tamsui 25137, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 294卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

hypergeometric transformations; reduction formulas; series identities; Appell functions; Kampe de Feriet function; Lauricella functions; generating functions; Jacobi polynomials; Pfaff-Kummer transformation;

D O I：

10.1016/j.jmaa.2004.02.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main object of the present paper is to derive various classes of double-series identities and to show how these general results would apply to yield some (known or new) reduction formulas for the Appell, Kampe de Feriet, and Lauricella hypergeometric functions of several variables. A number of closely-related linear generating functions for the classical Jacobi polynomials are also investigated. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：418 / 437

页数：20

共 50 条

[31] Certain transformations for multiple hypergeometric functions
Wei, Chuanan
Wang, Xiaoxia
Li, Yaqiong
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[32] Decomposition formulas for some triple hypergeometric functions
Hasanov, Anvar
Srivastava, H. M.
Turaev, Mamasali
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) : 955 - 969
[33] Reduction formulas for higher order derivations and a hypergeometric identity
Bruce Ebanks
André E. Kézdy
Aequationes mathematicae, 2021, 95 : 1053 - 1065
[34] Some families of hypergeometric polynomials and associated multiple integral representations
Lin, Shy-Der
Liu, Shuoh-Jung
Srivastava, H. M.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (06) : 403 - 414
[35] Reduction formulas for higher order derivations and a hypergeometric identity
Ebanks, Bruce
Kezdy, Andre E.
AEQUATIONES MATHEMATICAE, 2021, 95 (06) : 1053 - 1065
[36] SOME FURTHER REDUCTION FORMULAS FOR CERTAIN CLASSES OF GENERALIZED MULTIPLE HYPERGEOMETRIC-SERIES ARISING IN PHYSICAL, ASTROPHYSICAL, AND QUANTUM CHEMICAL APPLICATIONS
SRIVASTAVA, HM
ASTROPHYSICS AND SPACE SCIENCE, 1991, 181 (02) : 195 - 202
[37] SOME SUMMATIONS AND TRANSFORMATIONS OF BALANCED HYPERGEOMETRIC SERIES
Verma, A.
Jain, V. K.
Jain, S.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2009, 40 (04): : 235 - 251
[38] SOME SUMMATION FORMULAS OF BASIC HYPERGEOMETRIC-SERIES
VERMA, A
JAIN, VK
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1980, 11 (08): : 1021 - 1038
[39] Some families of hypergeometric transformations and generating relations
Lin, SD
Srivastava, HM
Wang, PY
MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (4-5) : 445 - 459
[40] SOME MULTIPLICATION FORMULAS CONCERNING GENERALIZED HYPERGEOMETRIC POLYNOMIALS
SRIVASTA.HM
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1971, 272 (10): : 661 - &

← 1 2 3 4 5 →