Univalent Logharmonic Mappings in the Plane-Reference-Cited by-同舟云学术

Univalent Logharmonic Mappings in the Plane

Published:2012 Issue: Volume:2012 Page:1-32
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Abdulhadi Zayid¹,Ali Rosihan M.²

Affiliation:

1. Department of Mathematics, American University of Sharjah, P.O. Box 26666, Sharjah, UAE

2. School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

Abstract

This paper surveys recent advances on univalent logharmonic mappings defined on a simply or multiply connected domain. Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. Logharmonic polynomials are also discussed, along with several important subclasses of logharmonic mappings.

Funder

Universiti Sains Malaysia

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/721943.pdf

Reference53 articles.

1. Univalent Functions in H ⋅ _ H (D)

2. Polynomials in

3. Canonical point mappings in

4. One Pointed Univalent Logharmonic Mappings

5. Univalent logharmonic ring mappings

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On Univalent k-Fold Symmetric Logharmonic Mappings;Complex Analysis and Operator Theory;2024-06-10

2. Properties of Logharmonic Mappings;The Journal of Geometric Analysis;2024-05-23

3. On the Pre-Schwarzian Norm of Certain Logharmonic Mappings;Bulletin of the Malaysian Mathematical Sciences Society;2024-02-27

4. ON A SPECIAL CLASS OF LOGHARMONIC MAPPINGS;Journal of Mathematical Sciences;2024-02-08

5. New Criteria for Convex-Exponent Product of Log-Harmonic Functions;Axioms;2023-04-22