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

Sarem H. Hadi; Maslina Darus; Choonkil Park; Jung Rye Lee; Sarem H. Hadi; Maslina Darus; Choonkil Park; Jung Rye Lee

doi:10.3934/math.2022656

AIMS Mathematics

2022, Volume 7, Issue 7: 11772-11783. doi: 10.3934/math.2022656

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Research article

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

1.
Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
2.
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia
3.
Research Institute for Natural Sciences, Hanyang University, Seoul, Korea
4.
Department of Data Science, Daejin University, Kyunggi 11159, Korea

Received: 25 February 2022 Revised: 01 April 2022 Accepted: 07 April 2022 Published: 18 April 2022
MSC : 33E12, 30C45

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.
- generalized Mittag-Leffler function,
- multivalent function,
- Hadamard product,
- convex linear combination,
- generalized Srivastava-Attiya operator
Citation: Sarem H. Hadi, Maslina Darus, Choonkil Park, Jung Rye Lee. Some geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function[J]. AIMS Mathematics, 2022, 7(7): 11772-11783. doi: 10.3934/math.2022656

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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.

References

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