Series representations for some mathematical constants

被引：51

作者：

Alzer, Horst

Karayannakis, Dimitri

Srivastava, H. M.

机构：

[1] Technol Educ Inst Crete, Sect Math, GR-71004 Iraklion, Crete, Greece

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 320卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

series representations; psi (or digamma) function; fractional calculus; Hurwitz (or generalized) zeta function; special functions; summation of series; Gauss hypergeometric function; polygamma function; normalized binomial mid-coefficients; Harmonic numbers; pi; pi(2); pi(3); pi(4); log; 2; 3; Catalan's constant; Apery's constant;

D O I：

10.1016/j.jmaa.2005.06.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors apply a classical series identity involving the psi (or digamma) function with a view to deriving series representations for a number of known mathematical constants. Several closely-related consequences and results are also considered. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：145 / 162

页数：18

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