The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers

被引：11

作者：

Cvijovic, Djurdje ^{[1
]}

机构：

[1] Vinca Inst Nucl Sci, Atom Phys Lab, Belgrade 11001, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 215卷 / 11期

关键词：

Harmonic numbers; Digamma function; Generating function; Entire exponential integral; Complementary incomplete gamma function; Exponential integral; Generalized hypergeometric function; Bessel function;

D O I：

10.1016/j.amc.2009.12.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent paper Dattoli and Srivastava [3], by resorting to umbral calculus, conjectured several generating functions involving harmonic numbers. In this sequel to their work our aim is to rigorously demonstrate the truth of the Dattoli-Srivastava conjectures by making use of simple analytical arguments. In addition, one of these conjectures is stated and proved in more general form. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：4040 / 4043

页数：4

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