Title of article :
ADDITION THEOREM and CERTAIN PROPERTIES OF k-BESSEL FUNCTION
Author/Authors :
GEHLOT, K.S Government College Jodhpur - First Pulia - Chopasni Housing Board - Jodhpur, India , PUROHIT, S.D Department of HEAS (Mathematics) - Rajasthan Technical University, India , SHARMA, J.B Department of ECE - Rajasthan Technical University - Kota, India
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.
Keywords :
k-Gamma function , k-Pochhammer symbol , k-Bessel function
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics