On a new subclass of bi-univalent functions of Sakaguchi type satisfying subordinate conditions

Sahsene Altınkaya, a,∗ Sibel Yalcın a

On a new subclass of bi-univalent functions of Sakaguchi type satisfying subordinate conditions

Authors :

Sahsene Altınkaya,^a,∗ Sibel Yalcın ^a

Author Address :

^a,b Department of Mathematics, Uludag University, 16059, Bursa, Turkey.

*Corresponding author.

Abstract :

In this paper, we introduce and investigate a new subclass of the function class $\Sigma $ of bi-univalent functions defined in the open unit disk. Furthermore, we find estimates on the coefficients $\left\vert a_{2}\right\vert $ and $\left\vert a_{3}\right\vert $ for functions in this new subclass.

Keywords :

Bi-univalent functions; Sakaguchi functions; coefficient bounds; subordination.

DOI :

Article Info :

Received : October 10, 2014; Accepted : May 23, 2015.