On the univalence of integral operations involving meromorphic functions

DENİZ E., ORHAN H.

MATHEMATICAL COMMUNICATIONS, vol.18, no.1, pp.1-9, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 18 Issue: 1
  • Publication Date: 2013
  • Journal Name: MATHEMATICAL COMMUNICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1-9
  • Keywords: analytic functions, punctured unit disk, meromorphic functions, univalence conditions, integral operators, CRITERIA, FAMILY
  • Ataturk University Affiliated: Yes

Abstract

The main object of this paper is to give sufficient conditions for integral operators H-alpha,H-beta,H-gamma and g(lambda,mu), which are defined here by means of the meromorphic functions, to be univalent in the open unit disk. In particular cases, we find the corresponding simpler conditions for these integral operators.