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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Abdulhadi, Zayid (2002)
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...
Ahuja, Om P. (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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.
Abdulhadi, Zayid (2002)
International Journal of Mathematics and Mathematical Sciences
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D. Bshouty, N. Hengartner, ... (1989)
Numerische Mathematik
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Giovanni Alessandrini, Vincenzo Nesi (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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This paper is part of a larger project initiated with [2]. The final aim of the present paper is to give bounds for the homogenized (or effective) conductivity in two dimensional linear conductivity. The main focus is therefore the periodic setting. We prove new variational principles that are shown to be of interest in finding bounds on the homogenized conductivity. Our results unify previous approaches by the second author and make transparent the central role of quasiconformal mappings...
Andrzej Michalski (2008)
Annales UMCS, Mathematica
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In this paper we introduce a class of increasing homeomorphic self-mappings of R. We define a harmonic extension of such functions to the upper halfplane by means of the Poisson integral. Our main results give some sufficient conditions for quasiconformality of the extension.
Abdulhadi, Zayid, Abumuhanna, Yusuf (2003)
International Journal of Mathematics and Mathematical Sciences
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Darus, Maslina, Al-Shaqsi, Khalifa (2006)
Lobachevskii Journal of Mathematics
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Kaljaj, David (2001)
Publications de l'Institut Mathématique. Nouvelle Série
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Abdulhadi, Zayid (1996)
International Journal of Mathematics and Mathematical Sciences
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Chen, Sh., Ponnusamy, S., Wang, X. (2009)
International Journal of Mathematics and Mathematical Sciences
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