Harmonic functions starlike of the complex order
Sibel Yalçin, Metin Öztürk (2006)
Matematički Vesnik
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Sibel Yalçin, Metin Öztürk (2006)
Matematički Vesnik
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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...
Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Southwest Journal of Pure and Applied Mathematics [electronic only]
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JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Surveys in Mathematics and its Applications
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Surveys in Mathematics and its Applications
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