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    • Zeros and uniqueness of 𝑄-difference polynomials of meromorphic functions with zero order

      Ting-Bin Cao Kai Liu Na Xu

      Volume 124 Issue 4 November 2014 pp 533-549

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/124/04/0533-0549

    • Keywords

       

      Meromorphic functions; Nevanlinna theory; logarithmic order; uniqueness problem; difference-differential polynomial.

    • Abstract

       

      In this paper, we investigate the value distribution of 𝑞-difference polynomials of meromorphic function of finite logarithmic order, and study the zero distribution of difference-differential polynomials $[f^{n}(z)f (qz + c)]^{(k)}$ and $[f^{n}(z)(f (qz + c) - f (z))]^{(k)}$, where $f(z)$ is a transcendental function of zero order. The uniqueness problem of difference-differential polynomials is also considered.

    • Author Affiliations

       

      Ting-Bin Cao1 Kai Liu1 Na Xu1

      1. Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, People’s Republic of China

    • Dates

       
      Published
      November 2014
      Manuscript received
      19 February 2013
      Manuscript revised
      6 October 2013

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