Some combinatorial series identities associated with the Digamma function and harmonic numbers

被引：15

作者：

Wu, TC ^{[1
]}

Tu, ST

Srivastava, HM

机构：

[1] Nan Ya Jr Coll, Dept Math, Chungli 32023, Taiwan

[2] Chung Yuan Christian Univ, Dept Math, Chungli 32023, Taiwan

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Digamma (or Psi) function; harmonic numbers; gamma function; combinatorial (or binomial) coefficients; series identities; beta function; Gauss summation theorem; Chu-Vandermonde summation theorem; Gauss hypergeometric series;

D O I：

10.1016/S0893-9659(99)00193-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors developed closed-form sums of several interesting families of series associated with the Digamma (or Psi) function and harmonic numbers. A number of illustrative examples and applications of the main results are also considered. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：101 / 106

页数：6