A Certain q-Sălăgean Differential Operator and Its Applications to Subclasses of Analytic and Bi-Univalent Functions Involving (p, q)-Chebyshev Polynomial

Authors

Musthafa Ibrahim College of Engineering, University of Buraimi, Al Buraimi, Sultanate of Oman https://orcid.org/0000-0003-3622-0358
Bilal Khan School of Mathematical Sciences, Tongji University, Shanghai, China https://orcid.org/0000-0003-2427-2003
A. Manickam School of Advanced Sciences and Languages, VITBhopal University, MadhyaPradesh, India https://orcid.org/0000-0003-1791-3933

DOI:

https://doi.org/10.37256/cm.5220243857

Keywords:

bi-univalent functions, (P,Q)-chebyshev polynomials, sălăgean differential operator

Abstract

In the present investigation, we make use of the q-analogue of the Sălăgean differential operator and introduce a new subclass of analytic and bi-univalent functions S_Σ^η,^μ involving the (P, Q)-Chebyshev polynomials. Furthermore, we derive coefficient inequalities and obtain the Fekete-Szegö problem for this new function class f ∈ S_Σ^η,^μ of functions.

Downloads

Published

2024-06-19

Issue

Contemporary Mathematics, Volume 5 Issue 2 (2024), 1122-2592

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.