ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION

K. S. Gehlot, S. D. Purohit, J. B. Sharma    

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Abstract

Our purpose in this paper is to study certain basic properties of k-Bessel function, introduced by Gehlot [Nonl. Anal. Di. 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.

Keywords

k-Gamma function, k-Pochhammer symbol, k-Bessel function.