Close-to-convexity of normalized Dini functions
Classical Analysis and ODEs
2017-07-14 v1
Abstract
In this paper necessary and sufficient conditions are deduced for the close-to-convexity of some special combinations of Bessel functions of the first kind and their derivatives by using a result of Shah and Trimble about transcendental entire functions with univalent derivatives and some newly discovered Mittag-Leffler expansions for Bessel functions of the first kind.
Cite
@article{arxiv.1408.6423,
title = {Close-to-convexity of normalized Dini functions},
author = {Árpad Baricz and Erhan Deniz and Nihat Yagmur},
journal= {arXiv preprint arXiv:1408.6423},
year = {2017}
}
Comments
5 pages