COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE S

Abstract

In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss coefﬁcient estimates and Landau’s theorem for some classes of locally univalent harmonic mappings, and then we study some Lipschitz-type spaces for locally univalent and multivalent harmonic mappings. 2010 Mathematics subject classiﬁcation: primary 30H05, 30H10, 30H30; secondary 30C20, 30C45, 30C62, 31C05.

Results & Lemmas (2)

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Theorem 5.17 Theorem 5.17] which helps to construct univalent close-to-convex harmonic functions. [6] Planar harmonic mappings 203…

Theorem 5.17] which helps to construct univalent close-to-convex harmonic functions. [6] Planar harmonic mappings 203 https://doi.org/10.1017/S1446788713000608 Published online by Cambridge University Press

Corollary 2.8 Corollary 2.8 easily follows from (3.5) and Corollary 2.7. □

Corollary 2.8 easily follows from (3.5) and Corollary 2.7. □

Function classes studied:

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Subordination Associated with Laguerre polynomial

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Coefficient problems of Starlike Functions Related to a Balloon-Shaped Domain

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Sharp Coefficient Estimates for the Exponential Starlike class

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Coefficient Estimates and Distortion Bounds for Rabotnov Functions with Applicat

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COEFFICIENT ESTIMATES, LANDAU'S THEOREM AND LIPSCHITZ-TYPE SPACES ON PLANARprotect unhbox voidb@x penalty @M {}HARMONICprotect unhbox voidb@x penalty @M {}MAPPINGS

Results & Lemmas (2)

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