Univalent harmonic exterior mappings as solutions of an optimization problem
W. Hengartner, L. Nadeau (1988)
Matematički Vesnik
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W. Hengartner, L. Nadeau (1988)
Matematički Vesnik
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Abdulhadi, Zayid (2002)
International Journal of Mathematics and Mathematical Sciences
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Ahuja, Om P. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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...
Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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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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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...
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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D. Bshouty, N. Hengartner, ... (1989)
Numerische Mathematik
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Kaljaj, David (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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Michael Dorff, Maria Nowak, Magdalena Wołoszkiewicz (2011)
Annales Polonici Mathematici
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We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.