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International Journal of Mathematics and Mathematical Sciences
Volume 2010, Article ID 302583, 11 pages
Research Article

Classes of Meromorphic Functions Defined by the Hadamard Product

Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów, Poland

Received 2 July 2009; Revised 21 November 2009; Accepted 5 January 2010

Academic Editor: Vladimir Mityushev

Copyright © 2010 J. Dziok. 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.


The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well-known classes of meromorphic functions are also pointed out.