Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings.
Chen, Sh., Ponnusamy, S., Wang, X. (2009)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “General approach to regions of variability via subordination of harmonic mappings.”
Some properties and regions of variability of affine harmonic mappings and affine biharmonic mappings.
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Extreme points of subordination and weak subordination families of harmonic mappings
Jinjing Qiao, Xiantao Wang (2011)
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The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary conditions and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.
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International Journal of Mathematics and Mathematical Sciences
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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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Inequalities of harmonic univalent functions with connections of hypergeometric functions
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...