Starlikeness of Bessel functions and their derivatives
Classical Analysis and ODEs
2017-07-14 v1
Abstract
In this paper necessary and sufficient conditions are deduced for the starlikeness of Bessel functions of the first kind and their derivatives of the second and third order by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some Mittag-Leffler expansions for the derivatives of Bessel functions of the first kind, as well as some results on the zeros of these functions.
Keywords
Cite
@article{arxiv.1410.0927,
title = {Starlikeness of Bessel functions and their derivatives},
author = {Árpád Baricz and Murat Çağlar and Erhan Deniz},
journal= {arXiv preprint arXiv:1410.0927},
year = {2017}
}
Comments
7 pages