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.