A New Subclass of Bi-Univalent Functions Involving Bell and Meixner-Pollaczek Polynomials

Authors

  • Omar Alnajar
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Abdullah Alsoboh
  • Omar Khabour
  • Mohammed Mattar Al Hatmi
  • Tala Sasa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.7036

Keywords:

Fekete-Szeg¨o problem functions, analytic functions, bi-univalent functions

Abstract

In this work, we present a novel subclass of bi-univalent functions defined by MeixnerPollaczek and Bell polynomials. Deriving coefficient estimates is the primary focus, especially for the second and third Taylor-Maclaurin coefficients; a2 and a3. Fekete-Szeg¨o functional inequalities related to these subclasses are also examined. By extending and generalizing current subclasses, the proposed class offers fresh perspectives on the geometric and analytic characteristics of biunivalent functions. Our findings demonstrate the theoretical originality and possible uses of orthogonal-polynomial-based functions classes.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Omar Alnajar, Ala Amourah, Abdullah Alsoboh, Omar Khabour, Mohammed Mattar Al Hatmi, Tala Sasa

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How to Cite

A New Subclass of Bi-Univalent Functions Involving Bell and Meixner-Pollaczek Polynomials. (2025). European Journal of Pure and Applied Mathematics, 18(4), 7036. https://doi.org/10.29020/nybg.ejpam.v18i4.7036