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Displaying similar documents to “On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator.”

Inequalities of harmonic univalent functions with connections of hypergeometric functions

Janusz Sokół, Rabha W. Ibrahim, M. Z. Ahmad, Hiba F. Al-Janaby (2015)

Open Mathematics

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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...