Abstract
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.
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