A UNIFIED INVERSE LAPLACE TRANSFORM FORMULA INVOLVING THE PRODUCT OF A GENERAL CLASS OF POLYNOMIALS AND THE FOX H-FUNCTION

被引：2

作者：

Soni, R. C. ^{[1
]}

Singh, Deepika ^{[1
]}

机构：

[1] MN Inst Technol, Dept Math, Jaipur 302017, Rajasthan, India

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2005年 / 36卷 / 02期

关键词：

The Laplace transform; a general class of polynomials; the Fox H-function; the multivariable H-function;

D O I：

10.5556/j.tkjm.36.2005.120

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we obtain the inverse Laplace transform of the product of a general class of polynomials and the Fox H-function. The polynomials and the functions involved in our main formula as well as their arguments are quite general in nature. Therefore, the inverse Laplace transform of the product of a large variety of polynomials and numerous simple special functions can be obtained as simple special cases of our main result. The results obtained by Gupta and Soni [2] and Srivastava [5] follow as special cases of our main result.

引用

页码：87 / 92

页数：6