On Certain Sufficient Conditions for Analytic Univalent Functions

G. Murugusundara Moorthy, N. Magesh

Abstract

In this paper, we introduce a new class of functions which is defined by hypergeometric function and obtain its relations with some well-known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family Bm.

Keywords

Univalent functions, Starlike functions, Convex functions, Hadamard product, Generalized hypergeometric functions.

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