×

Uniqueness of difference-differential polynomials of entire functions sharing one value. (English) Zbl 1351.30015

Summary: In this paper, we study the uniqueness of difference-differential polynomials of entire functions \(f\) and \(g\) sharing one value with counting multiplicity. In this paper we extend and generalize the resuts of X. Y. Zhang et al. [Comput. Math. Appl. 56, No. 7, 1876–1883 (2008; Zbl 1152.30326)], L. Kai et al. [Appl. Math., Ser. B (Engl. Ed.) 27, No. 1, 94–104 (2012; Zbl 1265.30152)] and many others [R. W. Dyavanal and R. V. Desai, “Uniqueness of difference polynomials of entire functions”, Appl. Math. Sci., 8, 3419–3424 (2014); J. Zhang, J. Math. Anal. Appl. 367, No. 2, 401–408 (2010; Zbl 1188.30044)].

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
39A05 General theory of difference equations
Full Text: DOI