On a certain class of harmonic multivalent functions.
Porwal, Saurabh, Dixit, Poonam, Kumar, Vinod (2011)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “Coefficient estimates and Landau-Bloch's constant for planar harmonic mappings.”
On a certain class of harmonic multivalent functions.
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Applications of Subordination Principle to Log-Harmonic Mappings
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Fractional Calculus and Applied Analysis
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MSC 2010: 30C45, 30C55 The aim of this paper is to give some applications of subordination principle to log-harmonic mappings.
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Darus, Maslina, Ibrahim, Rabha W. (2009)
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A note on non-negative singular infinity-harmonic functions in the half-space.
Tilak Bhattacharya (2005)
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In this work we study non-negative singular infinity-harmonic functions in the half-space. We assume that solutions blow-up at the origin while vanishing at infinity and on a hyperplane. We show that blow-up rate is of the order |x|.
On a result by Clunie and Sheil-Small
Dariusz Partyka, Ken-ichi Sakan (2012)
Annales UMCS, Mathematica
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In 1984 J. Clunie and T. Sheil-Small proved ([2, Corollary 5.8]) that for any complex-valued and sense-preserving injective harmonic mapping F in the unit disk D, if F(D) is a convex domain, then the inequality |G(z2)− G(z1)| < |H(z2) − H(z1)| holds for all distinct points z1, z2∈ D. Here H and G are holomorphic mappings in D determined by F = H + Ḡ, up to a constant function. We extend this inequality by replacing the unit disk by an arbitrary nonempty domain Ω in ℂ and improve it...
Some Growth and Distortion Theorems for Close-to-Convex Harmonic Functions in the Unit Disc
Polatoğlu, Yaşar (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45, 30C55 One of the most important questions in the study of the classes of such functions is related to bounds on the modulus of functions (growth) or modulus of the derivative (distortion). The aim of this paper is to give the growth and distortion theorems for the close-to-convex harmonic functions in the open unit disc D.