BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER BASED ON QUASI-SUBORDINATE CONDITIONS INVOLVING WRIGHT HYPERGEOMETRIC FUNCTIONS

摘要

In the present paper, we introduce and investigate a new subclass of biunivalent functions of complex order defined in the open unit disk, which are associated with Wright hypergeometric functions and satisfying quasi-subordinate conditions. Furthermore, we find estimates on the second and the third coefficients of the Taylor-Maclaurin series for functions in the new subclass. Several special consequences of the results are also pointed out.