UNIVALENT HARMONIC MAPPINGS INTO TWO-SLIT DOMAINS-Reference-Cited by-同舟云学术

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UNIVALENT HARMONIC MAPPINGS INTO TWO-SLIT DOMAINS

Published:2010-01-22 Issue:1 Volume:88 Page:61-73
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

GANCZAR ANDRZEJ,WIDOMSKI JAROSŁAW

Abstract

AbstractWe study some classes of planar harmonic mappings produced with the shear construction devised by Clunie and Sheil-Small in 1984. The first section reviews the basic concepts and describes the shear construction. The main body of the paper deals with the geometry of the classes constructed.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. On the non-vanishing of the Jacobian in certain one-to-one mappings

2. Univalent harmonic mappings;Livingston;Ann. Polon. Math.,1992

3. Harmonic univalent functions

4. Univalent harmonic functions

5. Univalent functions convex in one direction;Royster;Publ. Math. Debrecen,1976

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1. On convex combinations of harmonic mappings;Journal of Inequalities and Applications;2020-03-30

2. A GENERALISATION OF THE CLUNIE–SHEIL-SMALL THEOREM II;Bulletin of the Australian Mathematical Society;2017-03-02

3. A GENERALISATION OF THE CLUNIE–SHEIL-SMALL THEOREM;Bulletin of the Australian Mathematical Society;2016-02-17

4. Slit univalent harmonic mappings;Rocky Mountain Journal of Mathematics;2016-02-01

5. Harmonic shears of slit and polygonal mappings;Applied Mathematics and Computation;2014-05

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