Commun. Korean Math. Soc. 2017; 32(4): 909-914
Printed October 31, 2017
https://doi.org/10.4134/CKMS.c160260
Copyright © The Korean Mathematical Society.
Kottakkaran Sooppy Nisar
Prince Sattam bin Abdulaziz University
The recent research investigates the generalization of Bessel function in different forms as its usefulness in various fields of applied sciences. In this paper, we introduce a new modified form of $k$-Bessel functions called the generalized modified $k$-Bessel functions and established some of its properties.
Keywords: $k$-Bessel functions, Gamma function, hypergeometric function $_{2}F_{1}$, generalized hypergeometric function $_{p}F_{q}$, generalized (Wright) hypergeometric functions $_{p}\Psi _{q}$
MSC numbers: 33C20, 33B15, 33C05, 33C10
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