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.
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页码：180 / 187
页数：8
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