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

Autor:	Rui Ying, Xiu Min Zheng, Bu Sheng Li, Hong-Yan Xu
Rok vydání:	2020
Předmět:	Zero order Pure mathematics Class (set theory) Article Subject General Mathematics 010102 general mathematics Zhàng 01 natural sciences 010101 applied mathematics QA1-939 Transcendental number 0101 mathematics Divided differences Mathematics Meromorphic function
Zdroj:	Journal of Mathematics, Vol 2020 (2020)
ISSN:	2314-4785 2314-4629
DOI:	10.1155/2020/3781942
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c87daf80d187ffd174dd4ac54bdd8494 https://doi.org/10.1155/2020/3781942 Zobrazit plný text záznamu Plný text