Coefficient estimates of new families of analytic functions associated with q-Hermite polynomials

Date

2023

Authors

Al-Shbeil, Isra
Cătaş, Adriana
Srivastava, H.M.
Aloraini, Najla

Journal Title

Journal ISSN

Volume Title

Publisher

Axioms

Abstract

In this paper, we introduce two new subclasses of bi-univalent functions using the q- Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients u2, u3, and u4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we give the many consequences of our findings.

Description

Keywords

q-convolution operator, coefficient estimates, q-Hermite, bi-univalent functions, Babalola operator

Citation

Al-Shbeil, I., Cătaş, A., Srivastava, H. M., & Aloraini, N. (2023). “Coefficient estimates of new families of analytic functions associated with q-Hermite polynomials.” Axioms, 12(1), 52. https://doi.org/10.3390/axioms12010052