Radii problems for the generalized Mittag-Leffler functions
Complex Variables
2020-09-16 v2
Abstract
In this paper our aim is to investigate the radii of uniformly convexity, convexity, parabolic starlikeness and strong starlikeness of order of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic. The basic tool of this study is the Mittag-Leffler function in series. Also we have shown that the obtained radii are the smallest positive roots of some functional equations.
Cite
@article{arxiv.1901.03813,
title = {Radii problems for the generalized Mittag-Leffler functions},
author = {Anuja Prajapati},
journal= {arXiv preprint arXiv:1901.03813},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1412.2000, arXiv:1801.08684, arXiv:1710.09715, arXiv:1702.00631 by other authors