New hypergeometric transformations

被引：2

作者：

Exton, H ^{[1
]}

机构：

[1] Nyuggel, Dunrossness ZE2 9JH, Shetland, Scotland

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 92卷 / 02期

关键词：

Hypergeometric Gauss's summation theorem; Dixon's theorem;

D O I：

10.1016/S0377-0427(97)00235-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The elementary manipulation of series is applied to obtain a quite general transformation involving hypergeometric functions. Hypergeometric identities not previously recorded in the literature are then deduced by means of Gauss's summation theorem and other hypergeometric summation theorems. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：135 / 137

页数：3

共 50 条

[31] Certain bibasic hypergeometric transformations and their applications
J Math Anal Appl, 1 (44):
[32] Algebraic hypergeometric transformations of modular origin
Maier, Robert S.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (08) : 3859 - 3885
[33] General Linear Transformations of Hypergeometric Functions
A. V. Niukkanen
Mathematical Notes, 2001, 70 : 698 - 707
[34] DOUBLE EULER TRANSFORMATIONS OF CERTAIN HYPERGEOMETRIC FUNCTIONS
ABDULHALIM, N
ALSALAM, WA
DUKE MATHEMATICAL JOURNAL, 1963, 30 (01) : 51 - &
[35] 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
[36] Acceleration of sequences with transformations involving hypergeometric functions
Pepino, Rafael Tristao
NUMERICAL ALGORITHMS, 2023, 92 (01) : 893 - 915
[37] HYPERGEOMETRIC TRANSFORMATIONS OF LINEAR FORMS IN ONE LOGARITHM
Viola, Carlo
Zudilin, Wadim
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2008, 39 (02) : 211 - 222
[38] SUMMATION IDENTITIES AND TRANSFORMATIONS FOR HYPERGEOMETRIC SERIES - II
Barman, Rupam
Saikia, Neelam
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2020, 63 (01) : 7 - 42
[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] Remark on certain transformations for multiple hypergeometric functions
Gaboury, Sebastien
Tremblay, Richard
ADVANCES IN DIFFERENCE EQUATIONS, 2014,

← 1 2 3 4 5 →