The properties on differential-difference polynomials

  • T. B. Cao
  • K. Liu
  • X. L. Liu


The main aim of this 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 $[f(z)^nf(z + c)]^{(k)} \alpha (z)$ and $[f(z)^n(f(z + c) f(z))]^{(k)} \alpha (z)$ and give some examples to show that the results are best possible in a certain sense.
How to Cite
CaoT. B., LiuK., and LiuX. L. “The Properties on Differential-Difference Polynomials”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, no. 1, Jan. 2017, pp. 71-82,
Research articles