A new approach to hypergeometric transformation formulas

被引：1

作者：

Otsubo, Noriyuki ^{[1
]}

机构：

[1] Chiba Univ, Dept Math & Informat, Inage Ku, Chiba 2638522, Japan

来源：

RAMANUJAN JOURNAL | 2021年 / 55卷 / 02期

关键词：

Hypergeometric functions; Basic hypergeometric functions; Transformation formulas;

D O I：

10.1007/s11139-020-00286-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new method to prove in a uniform and easy way various transformation formulas for Gauss hypergeometric functions. The key is Jacobi's canonical form of the hypergeometric differential equation. Analogy forq-hypergeometric functions is also studied.

引用

页码：793 / 816

页数：24

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