Inequalities for the modified k-Bessel function
Classical Analysis and ODEs
2017-02-21 v1
Abstract
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the m-Bessel functions. The log-convexity with respect to the order of the k-Bessel also given. An investigation regarding the monotonicity of the ratio of the k-Bessel and k-confluent hypergeometric functions are discussed.
Cite
@article{arxiv.1702.05524,
title = {Inequalities for the modified k-Bessel function},
author = {Saiful R Mondal and Kottakkaran S. Nisar},
journal= {arXiv preprint arXiv:1702.05524},
year = {2017}
}