Certain Feynman type integrals involving generalized k-Mittag-Leffler function and general class of polynomials

Abstract

In the present paper, certain Feynman type integrals involving the generalized k-Mittag-Leffler function and the general class of polynomials are established and further extended these results involving Laguerre polynomials. On account of the most general nature of the functions involved therein, our main findings are capable of yielding a large number of new, interesting, and useful integrals, expansion formulas involving the generalized k-Mittag-Leffler function, and the Laguerre polynomials as their special cases.