On harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator.
Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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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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Murugusundaramoorthy, G. (2003)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Abdulhadi, Z., Muhanna, Y.Abu, Khuri, S. (2005)
Journal of Inequalities and Applications [electronic only]
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Abdallah Lyzzaik (2004)
Publications de l'Institut Mathématique
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Ahuja, Om P. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Jahangiri, Jay M., Silverman, Herb (2002)
Journal of Applied Mathematics and Stochastic Analysis
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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...
K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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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.
Al-Kharsani, H.A. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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