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The Properties of Differential-Difference Polynomials

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Ukrainian Mathematical Journal Aims and scope

The main aim of the paper is to improve some classical results on the distribution of zeros for differential polynomials and differential-difference polynomials. We present some results on the distribution of zeros of [f(z)n f(z + c)](k) − α(z) and [f(z)n(f(z + c) − f(z))](k) − α(z) and give some examples to show that the results are best possible in a certain sense.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University University, Nanchang, China

    K. Liu, T. B. Cao & X. L. Liu

Authors
  1. K. Liu
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  2. T. B. Cao
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  3. X. L. Liu
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 1, pp. 71–82, January, 2017.

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Liu, K., Cao, T.B. & Liu, X.L. The Properties of Differential-Difference Polynomials. Ukr Math J 69, 85–100 (2017). https://doi.org/10.1007/s11253-017-1348-0

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  • DOI: https://doi.org/10.1007/s11253-017-1348-0

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