On generalized m-bessel functions

Wide and various applications of the special functions in contemporary mathematics stimulate apperance of new types of special functions and generalization of known functions. The generalized hypergeometric functions especially — Bessel functions are the most important among the special functions. Some generalizations of Bessel functions are known [1–3], [5], [8–9], [13] etc. In this article new generalization of Bessel function is given, some properties, various integral representations and integral transform with this function are studied.