ON SOME NEW UNIFIED INTEGRALS

Shoukat Ali

Abstract


Very recently, Garg and Mittal have evaluated an interesting new unified integral involving Fox’s H-function and deduced a very interesting integral involving hypergeometric function as special case with the help of a known integral given in the book of Oberhettinger, F. The aim of this short research note is to evaluate three new unified integrals (including one given earlier by Garg and Mittal) involving hypergeometric function in terms of the gamma functions. The results are derived with the help of an interesting integral given in the book of Oberhettinger, F. It is not out of place to mention here that whenever the value of an integral comes in terms of gamma function, the results are important from the point of view of application.


Keywords


Hypergeometric functions; Integrals

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