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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

SHAOLIN CHEN, SAMINATHAN PONNUSAMY and ANTTI RASILA · 2013 📄 DOI →

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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)

Each result is auto-extracted from the paper via OCR - the math is shown verbatim and may carry occasional transcription artifacts. Click to expand the full statement.

Theorem 5.17 OCR DOI/publisher footer hidden 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
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:
close-to-convex

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