Faber polynomial coefficient bounds for a subclass of bi-univalent functions

Fekete-Szegö inequality for analytic and bi-univalent functions subordinate to Chebyshev polynomials

“…Let Σ denote the class of bi-univalent functions in U given by (2.1). For a brief history and some intriguing examples of functions and characterization of the class Σ, see Srivastava et al [21] and Frasin and Aouf [11], see also [2,3,4,12,15,18].…”

Faber polynomial coefficient estimates for certain classes of bi-univalent functions defined by using the Jackson (p,q)-derivative operator

“…In the literature, there are only a few works determining the general coefficient bounds |a n | for the analytic bi-univalent functions ( [7,16,18]). …”

Coefficient Bounds for Subclasses of Biunivalent Functions Associated with the Chebyshev Polynomials

“…Motivated by recent works of Altinkaya and Yalcin [14] (also see [15]) and recent studies on biunivalent functions involving Sȃlȃgean operator [11,13], in this section, we introduce two new subclasses of Σ associated with Chebyshev polynomials and obtain the initial Taylor coefficients | 2 | and | 3 | for the function classes by subordination. (1) is said to be in the class M Σ ( , Φ( , )) if the following subordination holds:…”