Subclasses of Bi-Univalent Functions of Complex Order Based on Subordination Conditions Involving Wright Hypergeometric Functions

Murugusundaramoorthy Gangadharan (School of Advanced Sciences, VIT University, Vellore 632014, Tamilnadu, India)

Journal of Mathematical and Fundamental Sciences
Vol. 47 No. 1 (2015)

In this paper, we introduce and investigate a new subclass of bi-univalent functions Î£ of complex order dened in the open unit disk, which are associated with hypergeometric functions and satisfying subordinate conditions. Furthermore, we nd estimates on the Taylor-Maclaurin coecients | a2 | and | a3 | for functions in the new subclass. Several (known or new) consequences of the results are also pointed out.