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

Ala Amourah (), Abdullah Alsoboh (), Daniel Breaz and Sheza M. El-Deeb
Additional contact information
Ala Amourah: Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman
Abdullah Alsoboh: Department of Mathematics, Faculty of Science, Philadelphia University, Amman 19392, Jordan
Daniel Breaz: Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RC-510009 Alba Iulia, Romania
Sheza M. El-Deeb: Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

Mathematics, 2024, vol. 12, issue 11, 1-13

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 | α 2 | and | α 3 | coefficients, and Fekete–Szegö inequalities are estimated for the functions in this new class. To support the conclusions, previous works are cited for confirmation.

Keywords: analytic functions; convolution; fractional derivatives; bi-univalent functions; starlike class; q ? -calculus; leaf-like domain; Fekete–Szegö problem; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/11/1735/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/11/1735/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:11:p:1735-:d:1407659

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().