ON A NEW CLASS OF INTEGRALS INVOLVING HYPERGEOMETRIC FUNCTION.

The aim of this research paper is to establish fifty new class of integrals involving hypergeometric function in terms of gamma functions. In order to put these fifty integrals, two master formulas have been constructed. The results are derived with the help of an interesting integral due to Lavoie and Trottier and generalized Watson's summation theorem obtained earlier by the Lavoie, Grondhi and Rathi. More than hundred interesting special cases (and four very special results) have also been obtained from our main results. [ABSTRACT FROM AUTHOR]