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Growth, Zeros and Fixed points of Differences of Meromorphic Solutions of Difference Equations

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Abstract

In this paper, we study the difference equation

$${a_1}\left(z \right)f\left({z + 1} \right) + {a_0}\left(z \right)f\left(z \right) = 0,$$

where a1(z) and a0(z) are entire functions of finite order. Under some conditions, we obtain some properties, such as fixed points, zeros etc., of the differences and forward differences of meromorphic solutions of the above equation.

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Authors and Affiliations

  1. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China

    Shuang-ting Lan

  2. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    Zong-xuan Chen

Authors
  1. Shuang-ting Lan
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  2. Zong-xuan Chen
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Corresponding authors

Correspondence to Shuang-ting Lan or Zong-xuan Chen.

Additional information

Supported by National Natural Science Foundation of China (11801110,11771090, 11761035, 11871260).

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Lan, St., Chen, Zx. Growth, Zeros and Fixed points of Differences of Meromorphic Solutions of Difference Equations. Appl. Math. J. Chin. Univ. 35, 16–32 (2020). https://doi.org/10.1007/s11766-020-3582-8

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  • DOI: https://doi.org/10.1007/s11766-020-3582-8

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