| Summary: | Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open
unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass
H( α, β) of the class SH and the subclass NH( α, β) with negative coefficients. We obtain basic results involving
sufficient coefficient conditions for a function in the subclass H( α, β) and we show that these conditions are also
necessary for negative coefficients, distortion bounds, extreme points, convolution and convex combinations. In this
paper an attempt has also been made to discuss some results that uncover some of the connections of hypergeometric
functions with a subclass of harmonic univalent functions.
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