Marichev-saigo-maeda fractional integration operators involving generalized bessel functions

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Abstract

Two integral operators involving Appell's functions, or Horn's function in the kernel are considered. Composition of such functions with generalized Bessel functions of the first kind is expressed in terms of generalized Wright function and generalized hypergeometric series. Many special cases, including cosine and sine function, are also discussed.

Original languageEnglish
Article number274093
JournalMathematical Problems in Engineering
Volume2014
DOIs
StatePublished - 2014

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