Faber Polynomial Coefficient Estimates for Bi-univalent Functions Defined by the Tremblay Fractional Derivative Operator

Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator

“…(see [43,44]) Under the hypotheses of Definition 3, the fractional derivative of order n + γ is defined by…”

Coefficient Estimates for Bazilevic Functions of Bi-Prestarlike Functions

“…with the corresponding inverse functions Recently, many authors introduced various subfamilies of the bi-univalent functions family Σ and investigated upper bounds for the first two coefficients |a 2 | and |a 3 | in the Taylor-Maclaurin series expansion (1.1) (see, for example [1,5,[10][11][12][13][14][15][16][17][19][20][21][22][23][24]).…”

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

“…Several authors worked on using Faber polynomial expansions to find coefficient bounds for functions in Σ, see [15][16][17][18] for examples. Next, we recall some definitions and lemmas used in this paper.…”