Some combinatorial series identities and rational sums

被引：5
|
作者：
Srivastava, Rekha [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2009年 / 20卷 / 02期
关键词：
combinatorial series identities; rational sums; binomial coefficients; hypergeometric series; summation theorems; rational functions; harmonic numbers; Gamma function; Digamma and Polygamma functions; finite sums; recurrence relations; parametric constraints; Pfaff-Saalschutz theorem; Euler's transformation; higher-order hypergeometric series;
D O I：
10.1080/10652460802499786
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a number of recent papers, several interesting combinatorial series identities and rational sums were derived by using different methods and techniques. The main object of the present sequel to these earlier works is to give much more general results by means of certain summation theorems for hypergeometric series. Relevant connections of the results presented here with those in the aforementioned investigations are also considered.
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页码：83 / 91
页数：9
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