Open Access

Neighborhoods of Starlike and Convex Functions Associated with Parabola

  • Rosihan M. Ali1Email author,
  • K. G. Subramanian1,
  • V. Ravichandran2 and
  • OmP Ahuja3
Journal of Inequalities and Applications20082008:346279

DOI: 10.1155/2008/346279

Received: 16 June 2008

Accepted: 11 August 2008

Published: 14 August 2008

Abstract

Let be a normalized analytic function defined on the unit disk and for . For , a function if lies in the parabolic region . Let be the corresponding class consisting of functions such that lies in the region . For an appropriate , the -neighbourhood of a function is shown to consist of functions in the class .

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
School of Mathematical Sciences, Universiti Sains Malaysia
(2)
Department of Mathematics, University of Delhi
(3)
Department of Mathematics, Kent State University

Copyright

© Rosihan M. Ali et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.