Coefficient estimates for certain classes of meromorphic bi-univalent functions

Faber polynomial coefficient estimates for a subclass of analytic bi-univalent functions

“…The Faber polynomials introduced by Faber [13] play an important role in various areas of mathematical sciences, especially in geometric function theory. The recent publications [16] and [18] applying the Faber polynomial expansions to meromorphic bi-univalent functions motivated us to apply this technique to classes of analytic bi-univalent functions.…”

Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator

“…Comparing the corresponding coefficient of (2.3) and (2.5), we get 7) and similarly, from (2.4) and (2.6), we get…”

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.…”