数学物理学报(英文版) ›› 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
  • 收稿日期:2010-02-05 修回日期:2011-01-29 出版日期:2012-03-20 发布日期:2012-03-20

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

摘要:

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.

关键词: Meromorphic functions, conic regions, varying argument, subordination, Hadamard product, convolution

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

中图分类号: 

  • 30C45