Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2751

Full Length Research Paper

On meromorphic functions with fixed residue defined using convolution

F. Müge Sakar1* and H. Ozlem Güney2
1Department of  Business Administration, Faculty of Management and Economics, Batman University, Batman, Turkey. 2Department of Mathematics, Faculty of Science, Dicle University, 21280 Diyarbakır, Turkey.
Email: [email protected]

  •  Accepted: 05 July 2013
  •  Published: 18 August 2013

Abstract

In this paper, we introduced a new subclass of meromorphic functions with residue, which is defined by means of a Hadamard product (or convolution). Then we determine some properties such as coefficient bound, distortion theorems, radius of starlikeness and convexity for this class.

 

Key words: Analytic, meromorphic functions, Hadamard product, convolution.