On the class of harmonic mappings which is related to the class of bounded boundary rotation

Polatoglu Y., Aydoğan S. M., Kahramaner Y.

APPLIED MATHEMATICS AND COMPUTATION, vol.267, pp.790-794, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 267
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2014.10.055
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.790-794
  • Istanbul Kültür University Affiliated: Yes

Abstract

The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero (1931, 1933) who systematically developed their properties and made an exhaustive study of the class V-k. In the present paper we will investigate the class of harmonic mappings which is related to the class of bounded boundary rotation. Crown Copyright (C) 2014 Published by Elsevier Inc. All rights reserved.