CLASSIFICATION OF UNIVALENT HARMONIC MAPPINGS ON THE UNIT DISK WITH HALF-INTEGER COEFFICIENTS

DOI10.1017/S1446788714000548zbMath1321.31001MaRDI QIDQ4983486

Jinjing Qiao, Saminathan Ponnusamy

Publication date: 27 March 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

univaldent harmonic mappings in the disk

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (5)

A GENERALISATION OF THE CLUNIE–SHEIL-SMALL THEOREM ⋮ NOTE ON THE CONVOLUTION OF HARMONIC MAPPINGS ⋮ Univalent harmonic and biharmonic mappings with integer coefficients in complex quadratic fields ⋮ Characterization of univalent harmonic mappings with integer or half-integer coefficients ⋮ Rotations of convex harmonic univalent mappings

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• Analytic Functions Star-Like in One Direction
• On the non-vanishing of the Jacobian in certain one-to-one mappings
• Note on Univalent Functions
• Two theorems on schlicht functions

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