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
收藏
页码：87 / 92
页数：6
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