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Research Article | Open Access

Some geometric properties of multivalent functions associated with a new generalized q-Mittag-Leffler function

Sarem H. Hadi1, Maslina Darus2, Choonkil Park3( ), Jung Rye Lee4( )
Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia
Research Institute for Natural Sciences, Hanyang University, Seoul, Korea
Department of Data Science, Daejin University, Kyunggi 11159, Korea
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Abstract

In this article, a new generalized q-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced. Some geometric properties of them are obtained. Furthermore, the radii for the aforementioned subclass associated with a generalized Srivastava-Attiya integral operator are also studied.

Keywords

generalized Mittag-Leffler functionmultivalent functionHadamard productconvex linear combinationgeneralized Srivastava-Attiya operator
CLC number: 33E12, 30C45

References

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 11772-11783
DOI: 10.3934/math.2022656

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Cite this article:
Hadi SH, Darus M, Park C, et al. Some geometric properties of multivalent functions associated with a new generalized q-Mittag-Leffler function. AIMS Mathematics, 2022, 7(7): 11772-11783. https://doi.org/10.3934/math.2022656

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Received: 25 February 2022
Revised: 01 April 2022
Accepted: 07 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)