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arXiv · 1809.00257

Starlikeness and convexity of integral operators involving Mittag-Leffler functions

B. A. Frasin
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Abstract

In this paper, we shall find the order of starlikeness and convexity for integral operators \begin{equation*} \mathbb{F}_{\alpha _{j},\beta _{j},\lambda _{j},\zeta }(z)=\left\{ \zeta \int\limits_{0}^{z}t^{\zeta -1}\prod_{j=1}^{n}\left( \frac{\mathbb{E} _{\alpha _{j},\beta _{j}}(t)}{t}\right) ^{1/\lambda _{j}}dt\right\} ^{1/\zeta }, \end{equation*} where the functions $\mathbb{E}_{\alpha _{j},\beta _{j}}$ are the normalized Mittag-Leffler functions.

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B. A. Frasin. 2018-09-01. Starlikeness and convexity of integral operators involving Mittag-Leffler functions. https://arxiv.org/abs/1809.00257

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