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

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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