Corollaries and multiple extensions of Gessel and Stanton hypergeometric summation formulas

被引：0
|
作者：
Ernst, Thomas [1 ]
Karlsson, Per W. [1 ]
机构：
[1] Uppsala Univ, Dept Math, POB 480, SE-75106 Uppsala, Sweden
来源：
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA | 2021年 / 25卷 / 01期
关键词：
Simple and multiple hypergeometric formulas; reversion; Pfaff-Kummer and Euler transformations;
D O I：
10.12697/ACUTM.2021.25.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find some new simple hypergeometric formulas in the footsteps of the important article by Gessel and Stanton. These are multiple reduction formulas, multiple summation formulas, as well as multiple transformation formulas for special Kampe de Feriet functions and Appell functions. The hypergeometric summation formulas have special function arguments in Q and parameter values in N or C. The proofs use Pfaff-Kummer transformation, Euler transformation, or an improved form of Slater reversion.
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页码：21 / 31
页数：11
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