Some geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function-Reference-Cited by-同舟云学术

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

Published:2022 Issue:7 Volume:7 Page:11772-11783
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hadi Sarem H.¹,Darus Maslina²,Park Choonkil³,Lee Jung Rye⁴

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference34 articles.

1. O. Ahuja, S. Kumar, A. Cetinkaya, Normalized multivalent functions connected with generalized Mittag-Leffler functions, Acta Univ. Apulensis, 67 (2021), 111–123.

2. M. K. Aouf, A generalization of multivalent functions with negative coefficient, J. Korean Math. Soc., 25 (1989), 681095. http://dx.doi.org/10.1155/S0161171289000633

3. M. K. Aouf, J. Dziok, Distortion and convolutional theorems for operators of generalized fractional calculus involving Wright function, J. Appl. Anal., 14 (2008), 183–192. https://doi.org/10.1515/JAA.2008.183

4. A. A. Attiya, Some applications of Mittag-Leffler function in the unit disk, Filomat, 30 (2016), 2075–2081. http://dx.doi.org/10.2298/FIL1607075A

5. D. Bansal, J. K. Prajapat, Certain geometric properties of the Mittag-Leffler functions, Complex Var. Ellip. Equ., 61 (2016), 338–350. https://doi.org/10.1080/17476933.2015.1079628

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Third-order Hankel determinants for q -analogue analytic functions defined by a modified q -Bernardi integral operator;Quaestiones Mathematicae;2024-05-15

2. An application of the Mittag-Leffler-type Borel distribution and Gegenbauer polynomials on a certain subclass of bi-univalent functions;Heliyon;2024-05

3. Some properties of subclass of multivalent functions associated with a generalized differential operator;Scientific Reports;2024-04-16

4. On classes of ζ -uniformly q -analogue of analytic functions with some subordination results;Applied Mathematics in Science and Engineering;2024-02-19

5. Partial sums of a generalized q-differential operator;AIP Conference Proceedings;2024