On monotonic and logarithmic concavity properties of generalized $k$-Bessel function

Authors : İbrahim AKTAŞ

Pages : 180-187

Doi:10.15672/hujms.621072

View : 14 | Download : 13

Publication Date : 2021-02-04

Article Type : Research Paper

Abstract :In this study, our main objective is to determine some monotonic and log-concavity properties of generalized $k$-Bessel function by using its Hadamard product representation and some earlier results on power series. In addition, by using the relationships between Bessel-type special functions and some basic functions, we present some specific examples related to the monotonic and log-concavity properties of some trigonometric and hyperbolic functions.
Keywords : k Gamma functions, k Bessel function, monotonicity, log concavity