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

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

Journal of Mathematics, 2020, vol. 2020, 1-10

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3781942

DOI: 10.1155/2020/3781942

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