Extensions of sufficient conditions for starlikeness and convexity of order alpha


Uyanik N., Aydogan M. , OWA S.

APPLIED MATHEMATICS LETTERS, vol.24, no.8, pp.1393-1399, 2011 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 8
  • Publication Date: 2011
  • Doi Number: 10.1016/j.aml.2011.03.018
  • Title of Journal : APPLIED MATHEMATICS LETTERS
  • Page Numbers: pp.1393-1399

Abstract

For analytic functions f(z) in the open unit disk U, there are many sufficient conditions for f (z) to be starlike and convex in U. In view of the paper by P.T. Mocanu [P.T. Mocanu, Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures Appl. 33 (1988) 117-124], some extensions of sufficient conditions for f(z) to be starlike of order alpha and to be convex of order alpha are discussed. (C) 2011 Elsevier Ltd. All rights reserved.