Faber polynomial coefficients of bi-subordinate functions

Coeficient estimates for a subclass of meromorphic bi-univalent functions defined by subordination

“…But the interest on coefficient estimates of the meromorphic univalent functions keep on by many researchers, see for example, [18,19,25,26]. Several authors by using Faber polynomial expansions obtained coefficient estimates |a n | for classes meromorphic bi-univalent functions and bi-univalent functions, see for example [10,12,13,14,15,16,17,28,27]. First we recall some definitions and lemmas that used in this work.…”

Second Hankel determinant for a subclass of analytic bi-univalent functions defined by subordination

“…The problem of estimating the coefficients |a n | with n ≥ 4 is presumably still an open problem. Using the Faber polynomial expansions, several authors obtained coefficient estimates of |a n | for the functions belonging in different subclasses of bi-univalent functions (see, for example, [10][11][12][13]30]). First, we will recall some definitions and lemmas that will be used in this work.…”

The Second Hankel Determinant Problem for a Class of Bi-Univalent Functions

“…The coefficient estimate issue for certain subfamilies of class of Taylor-Maclaurin coefficients | | for 4 is presumably still a concern. Either way, some researchers have investigated the Faber polynomial expansions to obtain the upper bounds for various subclasses of class [9][10][11][12][13][14].…”