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The zero distribution and uniqueness of difference-differential polynomials

Volume 109 / 2013

Kai Liu, Xin-Ling Liu, Lian-Zhong Yang Annales Polonici Mathematici 109 (2013), 137-152 MSC: Primary 30D35; Secondary 39A05. DOI: 10.4064/ap109-2-3

Abstract

We consider the zero distribution of difference-differential polynomials of meromorphic functions and present some results which can be seen as the discrete analogues of the Hayman conjecture. In addition, we also investigate the uniqueness of difference-differential polynomials of entire functions sharing one common value. Our theorems improve some results of Luo and Lin [J. Math. Anal. Appl. 377 (2011), 441–449] and Liu, Liu and Cao [Appl. Math. J. Chinese Univ. 27 (2012), 94–104].

Authors

  • Kai LiuDepartment of Mathematics
    Nanchang University
    Nanchang, Jiangxi
    330031, P.R. China
    e-mail
  • Xin-Ling LiuDepartment of Mathematics
    Nanchang University
    Nanchang, Jiangxi
    330031, P.R. China
    e-mail
  • Lian-Zhong YangShandong University
    School of Mathematics
    Jinan, Shandong
    250100, P.R. China
    e-mail

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