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M. Ablowitz, R. G. Halburd and B. Herbst, “On the Extension of Painleve Property to Difference Equations,” Nonlinearty, Vol. 13, No. 3, 2000, pp. 889-905. doi:10.1088/0951-7715/13/3/321

has been cited by the following article:

• TITLE: The Zeros of a Certain Homogeneous Difference Polynomials of Meromorphic Functions

  AUTHORS: Qian Lu, Qilong Liao

  KEYWORDS: Meromorphic Functions; Zeros; Homogeneous Difference Polynomials

  JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.1, January 29, 2013

  ABSTRACT: Let f(z) be a function transcendental and meromorphic in the plane of growth order less than 1. This paper focuses on discuss and estimate the number of the zeros of a certain homogeneous difference polynomials of degree k in f(z), and obtains that this certain homogeneous difference polynomials has infinitely many zeros.