Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

New Subfamily of Bi-starlike and Bi-convex Functions Defined by the q-Janowski Function

Version 1 : Received: 13 June 2023 / Approved: 14 June 2023 / Online: 14 June 2023 (07:25:18 CEST)

How to cite: Alsoboh, A.; Amourah, A.; Sakar, F.M.; Breaz, D. New Subfamily of Bi-starlike and Bi-convex Functions Defined by the q-Janowski Function. Preprints 2023, 2023061002. https://doi.org/10.20944/preprints202306.1002.v1 Alsoboh, A.; Amourah, A.; Sakar, F.M.; Breaz, D. New Subfamily of Bi-starlike and Bi-convex Functions Defined by the q-Janowski Function. Preprints 2023, 2023061002. https://doi.org/10.20944/preprints202306.1002.v1

Abstract

In this study, we introduce a new class of bi-univalent functions using q-Janowski Function. We derive the Fekete-Szegö functional problems for functions in this new subclass, as well as estimates for the Taylor-Maclaurin coefficients |α2| and |α3|. Furthermore, a collection of fresh outcomes are3 presented by customizing the parameters employed in our initial discoveries.

Keywords

Analytic functions; univalent and bi-univalent functions; Subordination; q-Janowski 5 Function; Fekete-Szegö problem; Quantum calculus.

Subject

Computer Science and Mathematics, Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.