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

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

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 add...

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Main Authors: Bu Sheng Li, Rui Ying, Xiu Min Zheng, Hong Yan Xu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/3781942
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spelling doaj-8133e402d5654de9abee865aff2592c12020-11-25T03:05:32ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/37819423781942Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and PolesBu Sheng Li0Rui Ying1Xiu Min Zheng2Hong Yan Xu3Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, ChinaBasic Department, Shangrao Preschool Education College, Shangrao 334001, Jiangxi, ChinaInstitute of Mathematics and Information Science, Jiangxi Normal University, Nanchan 330022, Jiangxi, ChinaSchool of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, Jiangxi, ChinaIn 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.http://dx.doi.org/10.1155/2020/3781942
collection DOAJ
language English
format Article
sources DOAJ
author Bu Sheng Li
Rui Ying
Xiu Min Zheng
Hong Yan Xu
spellingShingle Bu Sheng Li
Rui Ying
Xiu Min Zheng
Hong Yan Xu
Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles
Journal of Mathematics
author_facet Bu Sheng Li
Rui Ying
Xiu Min Zheng
Hong Yan Xu
author_sort Bu Sheng Li
title Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles
title_short Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles
title_full Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles
title_fullStr Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles
title_full_unstemmed Results on Solutions for Several q-Painlevé Difference Equations concerning Rational Solutions, Zeros, and Poles
title_sort results on solutions for several q-painlevé difference equations concerning rational solutions, zeros, and poles
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/3781942
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AT ruiying resultsonsolutionsforseveralqpainlevedifferenceequationsconcerningrationalsolutionszerosandpoles
AT xiuminzheng resultsonsolutionsforseveralqpainlevedifferenceequationsconcerningrationalsolutionszerosandpoles
AT hongyanxu resultsonsolutionsforseveralqpainlevedifferenceequationsconcerningrationalsolutionszerosandpoles
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