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The Properties of Differential-Difference Polynomials

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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… Click to show full abstract

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)nf(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.

Keywords: properties differential; difference polynomials; differential difference

Journal Title: Ukrainian Mathematical Journal
Year Published: 2017

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