SOME INTEGRALS INVOLVING GENERALIZED M-SERIES USING HADAMARD PRODUCT

In this paper, we establish some theorems in order to evaluate certain single and double integral formulas associated with the generalized M-series. The results are generalizations and unification of formulas for a fairly general class of special functions with a focus on the Mittag-Leffler function and hypergeometric function. By specializing the parameters, some new or known integrals are also investigated as corollaries in terms of generalized hypergeometric function. Further, applying the Hadamard product of two analytic functions, we have represented all our main findings in the Hadamard product of two known functions.