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On geometric properties of the Mittag-Leffler and Wright functions

KHALED MEHREZ|Sourav Das
대한수학회 (The Korean Mathematical Society)|2021.07|대한수학회지 (Journal of the KMS)|제58권 제4호|pp. 949-965|DOI 10.4134/JKMS.j200333

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참고문헌

키워드

Mittag-Leffler functionunivalent functionstarlike functionWright functionclose-to-convex functionanalytic function
주제분류수학

초록

The main focus of the present paper is to present new set of sufficient conditions so that the normalized form of the Mittag-Leffler and Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disk. Interesting consequences and examples are derived to support that these results are better than the existing ones and improve several results available in the literature.

Abstract

The main focus of the present paper is to present new set of sufficient conditions so that the normalized form of the Mittag-Leffler and Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disk. Interesting consequences and examples are derived to support that these results are better than the existing ones and improve several results available in the literature.

참고문헌 (25)

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