数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 444-452.doi: 10.1016/S0252-9602(14)60018-7

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UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS

刘永|祁晓光   

  1. Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China;Department of Physics and Mathematics, Joensuu Campus, University of Eastern Finland, P.O. Box 111, Joensuu FI-80101, Finland; Department of Mathematics, Jinan University, Jinan 250022, China
  • 收稿日期:2012-09-09 修回日期:2013-10-16 出版日期:2014-03-20 发布日期:2014-03-20
  • 基金资助:

    This work was supported by the National Nat-ural Science Foundation of China (10771121, 11301220, 11371225) and the Tianyuan Fund for Mathematics (11226094), the NSF of Shandong Province, China (ZR2012AQ020, ZR2010AM030), the Fund of Doctoral Pro-gram Research of Shaoxing College of Art and Science (20135018), and the Fund of Doctoral Program Research of University of Jinan (XBS1211).

UNIQUENESS OF DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS

 LIU Yong, QI Xiao-Guang   

  1. Department of Mathematics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China;Department of Physics and Mathematics, Joensuu Campus, University of Eastern Finland, P.O. Box 111, Joensuu FI-80101, Finland; Department of Mathematics, Jinan University, Jinan 250022, China
  • Received:2012-09-09 Revised:2013-10-16 Online:2014-03-20 Published:2014-03-20
  • Supported by:

    This work was supported by the National Nat-ural Science Foundation of China (10771121, 11301220, 11371225) and the Tianyuan Fund for Mathematics (11226094), the NSF of Shandong Province, China (ZR2012AQ020, ZR2010AM030), the Fund of Doctoral Pro-gram Research of Shaoxing College of Art and Science (20135018), and the Fund of Doctoral Program Research of University of Jinan (XBS1211).

摘要:

In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discrete analogues of the results given by Shibazaki. Some examples are given to show the results in this article are best possible.

关键词: Meromorphic functions, difference polynomials, uniqueness, finite order

Abstract:

In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discrete analogues of the results given by Shibazaki. Some examples are given to show the results in this article are best possible.

Key words: Meromorphic functions, difference polynomials, uniqueness, finite order

中图分类号: 

  • 30D35