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 On the generalized modified $k$-Bessel functions of the first kind Commun. Korean Math. Soc. 2017 Vol. 32, No. 4, 909-914 https://doi.org/10.4134/CKMS.c160260Published online October 31, 2017 Kottakkaran Sooppy Nisar Prince Sattam bin Abdulaziz University Abstract : 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 Downloads: Full-text PDF