A Bi-Starlike Class in a Leaf-like Domain Defined through Subordination via q̧-Calculus-Reference-Cited by-同舟云学术

A Bi-Starlike Class in a Leaf-like Domain Defined through Subordination via q̧-Calculus

Published:2024-06-03 Issue:11 Volume:12 Page:1735
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Amourah Ala¹²^ORCID,Alsoboh Abdullah³^ORCID,Breaz Daniel⁴^ORCID,El-Deeb Sheza M.⁵⁶^ORCID

Affiliation:

1. Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman

2. Jadara University Research Center, Jadara University, Irbid 21110, Jordan

3. Department of Mathematics, Faculty of Science, Philadelphia University, Amman 19392, Jordan

4. Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RC-510009 Alba Iulia, Romania

5. Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

6. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt

Abstract

Bi-univalent functions associated with the leaf-like domain within the open unit disk are investigated and a new subclass is introduced and studied in the research presented here. This is achieved by applying the subordination principle for analytic functions in conjunction with q-calculus. The class is proved to be not empty. By proving its existence, generalizations can be given to other sets of functions. In addition, coefficient bounds are examined with a particular focus on |α2| and |α3| coefficients, and Fekete–Szegö inequalities are estimated for the functions in this new class. To support the conclusions, previous works are cited for confirmation.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/11/1735/pdf

Reference34 articles.

1. Differential inequalities and Caratheodory functions;Miller;Bull. Am. Math. Soc.,1975

2. Duren, P.L. (1983). Univalent Functions, Springer. Grundlehren der Mathematischen Wissenschaften, Band 259.

3. Ma, W., and Minda, D. (1992, January 19–23). A unified treatment of some special classes of univalent functions. Proceedings of the Conference on Complex Analysis, Tianjin, China.

4. Radius of convexity of some subclasses of strongly starlike functions;Stankiewicz;Zesz. Nauk. Politech. Rzesz. Mat.,1996

5. On Coefficient estimates for a certain class of starlike functions;Raina;Hacet. J. Math. Stat.,2015

Cited by 1 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. Euler Polynomials and Bi-univalent Functions;European Journal of Pure and Applied Mathematics;2024-07-31