Addition theorem and certain properties of k-bessel function

Abstract

Our purpose in this paper is to study certain basic properties of k-Bessel function, introduced by Gehlot [Nonl. Anal. Diff. Eq., 2(2)(2014), 61-67]. In this regard, we obtain addition theorem, expansions formula, integral representations and recurrence relation etc. Further, we also evaluate the relation between k-Bessel’s function and Gauss hypergemetric function.