The pathway integral operator involving extension of k-Bessel-Maitland function

Abstract

It has a wide application in the problem of physics, chemistry, biology, engineering and applied sciences. The theory of Bessel functions is intimately connected with the theory of certain types of differential equations. A detail account of applications of Bessel functions are given in the book of Watson [26]. In this present paper, we establish generalized extension of k-Bessel-Maitland function involving pathway integral operator. we obtain certain composition formulas with pathway fractional integral operators. Further more, Some interesting special cases involving Bessel functions, generalized Bessel functions, generalized Mittag-Leffer functions, generalized k-Mittag-Leffer functions are deduced.\\