Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 765-774.doi: 10.1016/S0252-9602(12)60056-3

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CLASSES OF MEROMORPHIC FUNCTIONS ASSOCIATED WITH CONIC REGIONS

J. Dziok   

  1. Institute of Mathematics, University of Rzesz´ow, ul. Rejtana 16A, PL-35-310 Rzesz´ow, Poland
  • Received:2010-02-05 Revised:2011-01-29 Online:2012-03-20 Published:2012-03-20

Abstract:

The object of this article is to introduce new classes of meromorphic functions associated with conic regions. Several properties like the coefficient bounds, growth and distortion theorems, radii of starlikeness and convexity, partial sums, are investigated. Some consequences of the main results for the well-known classes of meromorphic functions are also pointed out.

Key words: Meromorphic functions, conic regions, varying argument, subordination, Hadamard product, convolution

CLC Number: 

  • 30C45
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