Certain Geometric Study Involving the Barnes–Mittag-Leffler Function-Reference-Cited by-同舟云学术

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Certain Geometric Study Involving the Barnes–Mittag-Leffler Function

Published:2024-07-04 Issue:7 Volume:8 Page:400
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Alenazi Abdulaziz¹²^ORCID,Mehrez Khaled³^ORCID

Affiliation:

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

2. Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi Arabia

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

Abstract

The main purpose of this paper is to study certain geometric properties of a class of analytic functions involving the Barnes–Mittag-Leffler function. The main mathematical tools are the monotonicity patterns of some class of functions associated with the gamma and digamma functions. Furthermore, some consequences and examples are presented.

Funder

Scientific Research at Northern Border University

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/7/400/pdf

Reference29 articles.

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3. Baricz, Á. (2010). Generalized Bessel Functions of the First Kind, Springer. Lecture Notes in Mathematics.

4. Geometric properties of generalized Dini functions;Deniz;Honam Math. J.,2019

5. Necessary and sufficient conditions for hypergeometric functions to be in a subclass of analytic functions;Frasin;Afr. Mat.,2019

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