Faber polynomial coefficient estimation of subclass of bi-subordinate univalent functions

Abstract

In this paper, a comprehensive subclass of bi-univalent functions class are introduced and investigated. Using the Faber polynomials, estimation of the coefficients $|a_n|$ and certain Fekete-Szegö inequality of Maclaurin expansion of functions in this subclass are concluded. Finally, some earlier results are pointed out and improved.

The results of the second theorem is corected in the new version. Also we add another lemma in the new version which plays a main role in proving our results