Univalent Harmonic Mappings of Annuli
Abdallah Lyzzaik (2004)
Publications de l'Institut Mathématique
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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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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...
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...
Sibel Yalçin, Metin Öztürk (2006)
Matematički Vesnik
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Peter Monk (1992)
Numerische Mathematik
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W. Hengartner, L. Nadeau (1988)
Matematički Vesnik
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B. Bojarski, T. Iwaniec (1987)
Banach Center Publications
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Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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Miloš Arsenović, Miroslav Pavlović (2017)
Czechoslovak Mathematical Journal
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We prove two Dyakonov type theorems which relate the modulus of continuity of a function on the unit disc with the modulus of continuity of its absolute value. The methods we use are quite elementary, they cover the case of functions which are quasiregular and harmonic, briefly hqr, in the unit disc.
Kaljaj, David (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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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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B. Johnson (1973)
Studia Mathematica
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