Lp-bounded operators involving generalized hypergeometric functions

被引：1
|
作者：
Habibullah, G. M. [1 ]
Mubeen, S. [1 ]
机构：
[1] Natl Coll Business Adm & Econ, Lahore, Pakistan
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2011年 / 22卷 / 02期
关键词：
fractional integral transforms; Liouville and Kober fractional integrals; generalized hypergeometric functions; integral transforms with generalized hypergeometric functions in the kernel;
D O I：
10.1080/10652469.2010.501555
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We herein determine an integral representation of generalized hypergeometric functions mFm extending the usual results on 1F1. After formulating integral operators involving the generalized hypergeometric functions of the form: [image omitted] and [image omitted] we prove that these operators are composition of generalized variants of the Laplace transform (and Watson) and Erdelyi-Kober fractional integral operators. We also prove that these operators are bounded in Lp.
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页码：143 / 149
页数：7
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