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Radii problems for the generalized Mittag-Leffler functions

Anuja Prajapati
대한수학회 (The Korean Mathematical Society)|2020.07|대한수학회지 (Journal of the KMS)|제57권 제4호|pp. 1031-1052|DOI 10.4134/JKMS.j190571

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참고문헌

키워드

Generalized Mittag-Leffler functionsentire functionsreal zerosradius of $\alpha$-convexity of order $\rho$radius of strong starlikeness of order $\rho$Weierstrassian decomposition
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초록

In this paper our aim is to find various radii problems 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.

Abstract

In this paper our aim is to find various radii problems 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.

참고문헌 (41)

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