Estimates for a Generalized Class of Analytic and Bi-univalent Functions Involving Two q-Operators-Reference-Cited by-同舟云学术

Estimates for a Generalized Class of Analytic and Bi-univalent Functions Involving Two q-Operators

Published:2022-07-04 Issue: Volume: Page:211-225
ISSN:2581-8147
Container-title:Earthline Journal of Mathematical Sciences
language:en
Short-container-title:EJMS

Author:

Lasode Ayotunde Olajide¹

Affiliation:

1. Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, PMB 1515, Ilorin, Nigeria

Abstract

By making use of $q$-derivative and $q$-integral operators, we define a class of analytic and bi-univalent functions in the unit disk $|z|<1$. Subsequently, we investigate some properties such as some early coefficient estimates and then obtain the Fekete-Szeg\"o inequality for both real and complex parameters. Further, some interesting corollaries are discussed.

Publisher

Earthline Publishers

Subject

General Medicine

Reference35 articles.

1. H. Aldweby and M. A. Darus, A note on q-integral, Elect. Notes Discrete Math. 67(6) (2018), 25-30. https://doi.org/10.1016/j.endm.2018.05.005

2. J. W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. Math. Second Series 17(1) (1915), 12-22. https://doi.org/10.2307/2007212

3. M. H. Annaby and Z. S. Mansour, q-Fractional Calculus and Equations, Springer Science+Business Media, New York, 2012. https://doi.org/10.1007/978-3-642-30898-7

4. A. Aral, V. Gupta and R. P. Agarwal, Applications of q-Calculus in Operator Theory, Springer Science+Business Media, New York, 2013. https://doi.org/10.1007/978-1-4614-6946-9_1

5. S. D. Bernardi, Convex and starlike functions, Trans. Amer. Math. Soc. 135(51) (1969), 429-446. https://doi.org/10.1090/S0002-9947-1969-0232920–2

Cited by 2 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. Application of Subordination and q-Differentiation to Classes of Regular Functions Associated with Certain Special Functions and Bell Numbers;Trends in Mathematics;2023-08-10

2. Applications of (p, q)-Gegenbauer Polynomials on a Family of Bi-univalent Functions;Earthline Journal of Mathematical Sciences;2023-05-08