Salagean-type harmonic univalent functions.
Jahangiri, Jay M., Murugusundaramoorthy, G., Vijaya, K. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Jahangiri, Jay M., Murugusundaramoorthy, G., Vijaya, K. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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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...
Sibel Yalçin, Metin Öztürk (2006)
Matematički Vesnik
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Abdulhadi, Z., Muhanna, Y.Abu, Khuri, S. (2005)
Journal of Inequalities and Applications [electronic only]
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Ahuja, Om P. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Abdallah Lyzzaik (2004)
Publications de l'Institut Mathématique
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K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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Richard Fournier (1986)
Annales Polonici Mathematici
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Ma, William, Minda, David (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Sumit Nagpal, V. Ravichandran (2012)
Annales Polonici Mathematici
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By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions becomes evident in the results obtained.
Abdulhadi, Zayid (2002)
International Journal of Mathematics and Mathematical Sciences
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