On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series-Reference-Cited by-同舟云学术

On Quasi-Subordination for Bi-Univalency Involving Generalized Distribution Series

Published:2024-06-20 Issue:6 Volume:16 Page:773
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Olatunji Sunday Olufemi¹^ORCID,Oluwayemi Matthew Olanrewaju²³^ORCID,Porwal Saurabh⁴^ORCID,Alb Lupas Alina⁵^ORCID

Affiliation:

1. Department of Mathematical Sciences, Federal University of Technology, Akure 460114, Ondo State, Nigeria

2. Department of Mathematics and Statistics, Margaret Lawrence University, Galilee 321108, Delta State, Nigeria

3. SDG 4 (Quality Education Research Group), Landmark University, Omu-Aran 251103, Kwara State, Nigeria

4. Department of Mathematics, Ram Sahay Government Degree College, Bairi-Shivrajpur, Kanpur 209205, Uttar Pradesh, India

5. Department of Mathematics and Computer Science, University of Oradea, Str. Universitatii nr. 1, 410087 Oradea, Romania

Abstract

Various researchers have considered different forms of bi-univalent functions in recent times, and this has continued to gain more attention in Geometric Function Theory (GFT), but not much study has been conducted in the area of application of the certain probability concept in geometric functions. In this manuscript, our motivation is the application of analytic and bi-univalent functions. In particular, the researchers examine bi-univalency of a generalized distribution series related to Bell numbers as a family of Caratheodory functions. Some coefficients of the class of the function are obtained. The results are new as far work on bi-univalency is concerned.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/6/773/pdf

Reference36 articles.

1. On quasi-subordination for bi-univalency involving generalized distribution series associated with remodelled s-sigmoid function;Olatunji;Int. J. Nonlinear Anal. Appl.,2023

2. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordinations. Theory and Applications, Series of Monographs and Text Books in Pure and Applied Mathematics, Marcel Dekker.

3. Ma, W.C., and Minda, D. (1994). A Unified Treatment of Some Special Cases of Univalent Functions. Lecture Notes Anal. I, Proceedings of the Conference on Complex Analysis, Tianjin, China, 17–20 August 1992, International Press.

4. Akgül, A. (2017). On quasi subordination for analytic and biunivalent function class. arXiv.

5. Majorizations and quasi-subordinations for certain analytic functions;Altintas;Proceeding Jpn. Acad. A,1992