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Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles

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  • Bu Sheng Li
  • Rui Ying
  • Xiu Min Zheng
  • Hong Yan Xu
  • Basil K. Papadopoulos

Abstract

In this article, we discuss the problem about the properties on solutions for several types of q-difference equations and obtain some results on the exceptional values of transcendental meromorphic solutions fz with zero order, their q-differences Δqfz=fqz−fz, and divided differences Δqfz/fz. In addition, we also investigated the condition on the existence of rational solution for a class of q-difference equations. Our theorems are some extensions and supplement to those results given by Liu and Zhang and Qi and Yang.

Suggested Citation

  • Bu Sheng Li & Rui Ying & Xiu Min Zheng & Hong Yan Xu & Basil K. Papadopoulos, 2020. "Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles," Journal of Mathematics, Hindawi, vol. 2020, pages 1-10, September.
    • Handle: RePEc:hin:jjmath:3781942
    DOI: 10.1155/2020/3781942
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