Further Geometric Properties of the Barnes–Mittag-Leffler Function-Reference-Cited by-同舟云学术

Further Geometric Properties of the Barnes–Mittag-Leffler Function

Published:2023-12-24 Issue:1 Volume:13 Page:12
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Alenazi Abdulaziz¹^ORCID,Mehrez Khaled²^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Northern Border University, Arar 73213, Saudi Arabia

2. Department of Mathematics, IPEIK Kairouan, University of Kairouan, Kairouan 3100, Tunisia

Abstract

In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly starlike (convex), strongly starlike (convex), convexity, and close-to-convexity) in the unit disk. The key tools in some of our proofs are the monotonicity properties of a certain class of functions related to the gamma function.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/13/1/12/pdf

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