On a class of bi-univalent functions of complex order related to Faber polynomials and q-Sălăgean operator

Year 2024, Volume: 73 Issue: 3, 664 - 673, 27.09.2024

Zeinab Nsar , A. O. Mostafa , Samar Mohamed

https://doi.org/10.31801/cfsuasmas.1346024

Abstract

In this paper, we define a new class of bi-univalent functions of complex order $∑_{q}ⁿ(τ,ζ;φ)$ which is defined by subordination in the open unit disc $D$. By using $D_{q}ⁿϜ(ς)$ operator. Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients of function belonging to this class.

Keywords

Analytic functions, bi-univalent functions, coefficient bounds, subordination, Faber polynomials, q-Salagean operator

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