Monotonicity properties of some Dini functions
Classical Analysis and ODEs
2016-11-17 v1
Abstract
In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expansion for the derivative of a normalized Bessel function of the first kind. These monotonicity properties are used to obtain some new inequalities for Bessel functions of the first kind.
Keywords
Cite
@article{arxiv.1402.0639,
title = {Monotonicity properties of some Dini functions},
author = {Árpád Baricz and Tibor K. Pogány and Róbert Szász},
journal= {arXiv preprint arXiv:1402.0639},
year = {2016}
}
Comments
4 pages, 1 figure