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arXiv · 1901.03813

Radii problems for the generalized Mittag-Leffler functions

Anuja Prajapati
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Abstract

In this paper our aim is to investigate the radii of $η-$uniformly convexity, $α-$convexity, $η-$parabolic starlikeness and strong starlikeness of order $ρ$ 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.

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Anuja Prajapati. 2020-09-15. Radii problems for the generalized Mittag-Leffler functions. https://doi.org/10.4134/jkms.j190571

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