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

被引：2

作者：

Aktas, Ibrahim ^{[1
]}

机构：

[1] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, Yunus Emre Campus, TR-70100 Karaman, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 01期

关键词：

k-Gamma functions; k-Bessel function; monotonicity; log-concavity; HYPER-BESSEL; BOUNDS; RADII; STARLIKENESS; CONVEXITY;

D O I：

10.15672/hujms.621072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：180 / 187

页数：8

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