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Computational Methods and Function Theory

, Volume 19, Issue 4, pp 717–728 | Cite as

Zero Distribution on Differential-Difference Polynomials of Exponential Type Functions

  • Kai LiuEmail author
  • Linkui Gao
  • Xinling Liu
Article
  • 79 Downloads

Abstract

Exponential type functions are important subclasses of transcendental entire functions. In this paper, we will use some results given by Steinmetz (Manuscr Math 26:155–167, 1978) to consider the zeros of difference or differential-difference polynomials of exponential polynomials. In addition, we also consider the zeros of difference polynomials of exponential type functions with infinite order.

Keywords

Exponential polynomials Differential-difference polynomials Value distribution 

Mathematics Subject Classification

30D35 39A05 

Notes

Acknowledgements

The authors would like to thank the referee for his/her helpful suggestions and comments.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsNanchang UniversityNanchangPeople’s Republic of China
  2. 2.Department of Physics and MathematicsUniversity of Eastern FinlandJoensuuFinland

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