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  • Hacettepe Journal of Mathematics and Statistics
  • Volume:50 Issue:1
  • On monotonic and logarithmic concavity properties of generalized $k$-Bessel function

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

Authors : İbrahim AKTAŞ
Pages : 180-187
Doi:10.15672/hujms.621072
View : 24 | Download : 19
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

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