NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS

NEW SUBCLASSES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS

G. Murugusundaramoorthy, H. Ö. Güney, K. Vijaya

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Abstract

In the present paper, new subclasses of bi-univalent functions of complex order associated with hypergeometric functions are introduced and coecient estimates for functions in these classes are obtained. Several new (or known) consequences of the results are also pointed out.

Keywords

Analytic function; Univalent function; Hypergeometric function Bi-univalent function; Bi-starlike function; Bi-convex function; Complex order; Coecient bounds and Subordination.