engleski

Integrals with two-variable generating function in the integrand

The main motive of this study is to present a new class of generalized integral formulae which involve a generating function of two variables G(u, x). By this approach we deduce a set of new outcomes, which are integrals associated with generalized hypergeometric function, Laguerre, Hermite and Bessel polynomials, Kampe de Feriet hypergeometric series of two variables, Lauricella function and several special cases of our main results.

Generating functions ; Lauricella hypergeometric function F_D^(m) ; Appell-Horn hypergeometric function F_1 of two variables ; Kampe de Feriet series ; Hypergeometric functions ; Generalized Bessel polynomials ; Hermite polynomials

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