ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION

Year 2020, Volume: 10 Issue: 1, 95 - 101, 01.01.2020

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

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.

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