New Laplace transforms of Kummer's confluent hypergeometric functions

被引：4

作者：

Kim, Yong Sup ^{[2
]}

Rathie, Arjun K. ^{[3
]}

Cvijovic, Djurdje ^{[1
]}

机构：

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

[2] Wonkwang Univ, Dept Math Educ, Iksan 570749, South Korea

[3] Vedant Coll Engn & Technol, Post Jakhmund 323021, Rajasthan, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 3-4期

关键词：

Kummer's function of the first kind; Confluent hypergeometric function; Laplace transform; Bailey's summation theorem; Gauss's second summation theorem; Kummer's summation theorem; THEOREM; SUM;

D O I：

10.1016/j.mcm.2011.09.031

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummer's confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gauss's second summation theorem, Bailey's summation theorem and Kummer's summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1068 / 1071

页数：4

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