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Displaying similar documents to “Harmonic functions starlike of the complex order”

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...