An entry of Ramanujan on hypergeometric series in his Notebooks

被引：6

作者：

Rao, KS

Vanden Berghe, G

Krattenthaler, C

机构：

[1] State Univ Ghent, Toegepaste Wiskunde Informat, B-9000 Ghent, Belgium

[2] Flemish Acad Ctr, VLAC, Royal Flemish Acad Belgium Sci & Arts, Paleis Acad, B-1000 Brussels, Belgium

[3] Inst Math Sci, Madras 600113, Tamil Nadu, India

[4] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 173卷 / 02期

关键词：

hypergeometric functions; gamma function; digamma function; Ramanujan's Notebooks; summation theorems;

D O I：

10.1016/j.cam.2004.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Example 7, after Entry 43, in Chapter XII of the first Notebook of Srinivasa Ramanujan is proved and, more generally, a summation theorem for F-3(2)(a,a,x; 1+a, 1+a+N; 1), where N is a nonnegative integer, is derived. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：239 / 246

页数：8

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