On harmonic homeomorphisms from the punctured unit disc onto its exterior

The purpose of this paper is to study the class of harmonic sense-preserving homeomorphisms from the punctured unit disc onto its planar exterior which extend homeomorphically between the unit circle and itself and admit a simple pole at the origin.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2023-03, Vol.519 (2), p.126822, Article 126822
Main Authors: Bshouty, Daoud, Lyzzaik, Abdallah
Format: Article
Language:English
Subjects:
Convex function in the direction of the real axis
Multivalent function
Planar harmonic mapping
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Description
Summary:The purpose of this paper is to study the class of harmonic sense-preserving homeomorphisms from the punctured unit disc onto its planar exterior which extend homeomorphically between the unit circle and itself and admit a simple pole at the origin.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2022.126822