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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/03/0301-0310

    • Keywords

       

      Meromorphic function; 𝑞-shift; difference polynomial; uniqueness; zero order.

    • Abstract

       

      In this paper, we consider the zero distributions of 𝑞-shift difference polynomials of meromorphic functions with zero order, and obtain two theorems that extend the classical Hayman results on the zeros of differential polynomials to 𝑞-shift difference polynomials. We also investigate the uniqueness problem of 𝑞-shift difference polynomials that share a common value.

    • Author Affiliations

       

      Kai Liu1 Xin-Ling Liu1 Ting-Bin Cao1

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

    • Dates

       
      Published
      August 2011
      Manuscript received
      5 September 2010
      Manuscript revised
      6 February 2011

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