Bounded harmonic mappings related to starlike functions

Durdane Varol, Melike Aydoǧan, Yaşar Polatoǧlu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Let f=h(z)+g(z)̄ be a sense-preserving harmonic mapping in the open unit disc D={z||z|<1}. If f satisfies the condition |1b1g'(z)h'(z)-M|<M, M>1/2' then f is called bounded harmonic mapping. The main purpose of this paper is to give some properties of the class of bounded harmonic mapping.

Original languageEnglish
Title of host publicationProceedings of the 3rd International Conference on Mathematical Sciences, ICMS 2013
PublisherAmerican Institute of Physics Inc.
Pages644-649
Number of pages6
ISBN (Print)9780735412361
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event3rd International Conference on Mathematical Sciences, ICMS 2013 - Kuala Lumpur, Malaysia
Duration: 17 Dec 201319 Dec 2013

Publication series

NameAIP Conference Proceedings
Volume1602
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Conference on Mathematical Sciences, ICMS 2013
Country/TerritoryMalaysia
CityKuala Lumpur
Period17/12/1319/12/13

Keywords

  • Bounded harmonic mapping
  • Coefficient inequality
  • Distortion theorem
  • Growth theorem
  • Starlike functions

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