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Polatoğlu, Yaşar, Özkan, H.Esra, Duman, Emel Yavuz (2010)
Journal of Inequalities and Applications [electronic only]
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Jahangiri, Jay M., Silverman, Herb, Silvia, Evelyn M. (2007)
International Journal of Mathematics and Mathematical Sciences
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Sumit Nagpal, V. Ravichandran (2013)
Annales Polonici Mathematici
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The hereditary properties of convexity and starlikeness for conformal mappings do not generalize to univalent harmonic mappings. This failure leads to the notions of fully starlike and fully convex mappings. In this paper, properties of fully starlike mappings of order α and fully convex mappings of order α (0 ≤ α < 1) are studied; in particular, the bounds for the radius of full starlikeness of order α as well as the radius of full convexity of order α are determined for certain...
Jahangiri, Jay M., Murugusundaramoorthy, G., Vijaya, K. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Ahuja, Om P. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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...
Al-Kharsani, H.A. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Kim, Yong Chan, Jahangiri, Jay M., Choi, Jae Ho (2002)
International Journal of Mathematics and Mathematical Sciences
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Sibel Yalçin, Metin Öztürk (2006)
Matematički Vesnik
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Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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Abdallah Lyzzaik (2004)
Publications de l'Institut Mathématique
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Fukui, Seichi (1997)
International Journal of Mathematics and Mathematical Sciences
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Agnieszka Sibelska (2010)
Annales UMCS, Mathematica
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The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc Δ. In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998-2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazińska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri...