Existence of zero-order meromorphic solutions of certain q-difference equations

In this paper, we consider the q-difference equation [Formula: see text] where [Formula: see text] is rational in f and meromorphic in z. It shows that if the above equation assumes an admissible zero-order meromorphic solution [Formula: see text] , then either [Formula: see text] is a solution of a...

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Autores principales: Du, Yunfei, Gao, Zongsheng, Zhang, Jilong, Zhao, Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105186/
https://www.ncbi.nlm.nih.gov/pubmed/30839571
http://dx.doi.org/10.1186/s13660-018-1790-z
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author Du, Yunfei
Gao, Zongsheng
Zhang, Jilong
Zhao, Ming
author_facet Du, Yunfei
Gao, Zongsheng
Zhang, Jilong
Zhao, Ming
author_sort Du, Yunfei
collection PubMed
description In this paper, we consider the q-difference equation [Formula: see text] where [Formula: see text] is rational in f and meromorphic in z. It shows that if the above equation assumes an admissible zero-order meromorphic solution [Formula: see text] , then either [Formula: see text] is a solution of a q-difference Riccati equation or the coefficients satisfy some conditions.
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spelling pubmed-61051862018-08-30 Existence of zero-order meromorphic solutions of certain q-difference equations Du, Yunfei Gao, Zongsheng Zhang, Jilong Zhao, Ming J Inequal Appl Research In this paper, we consider the q-difference equation [Formula: see text] where [Formula: see text] is rational in f and meromorphic in z. It shows that if the above equation assumes an admissible zero-order meromorphic solution [Formula: see text] , then either [Formula: see text] is a solution of a q-difference Riccati equation or the coefficients satisfy some conditions. Springer International Publishing 2018-08-20 2018 /pmc/articles/PMC6105186/ /pubmed/30839571 http://dx.doi.org/10.1186/s13660-018-1790-z Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Du, Yunfei
Gao, Zongsheng
Zhang, Jilong
Zhao, Ming
Existence of zero-order meromorphic solutions of certain q-difference equations
title Existence of zero-order meromorphic solutions of certain q-difference equations
title_full Existence of zero-order meromorphic solutions of certain q-difference equations
title_fullStr Existence of zero-order meromorphic solutions of certain q-difference equations
title_full_unstemmed Existence of zero-order meromorphic solutions of certain q-difference equations
title_short Existence of zero-order meromorphic solutions of certain q-difference equations
title_sort existence of zero-order meromorphic solutions of certain q-difference equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6105186/
https://www.ncbi.nlm.nih.gov/pubmed/30839571
http://dx.doi.org/10.1186/s13660-018-1790-z
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AT zhangjilong existenceofzeroordermeromorphicsolutionsofcertainqdifferenceequations
AT zhaoming existenceofzeroordermeromorphicsolutionsofcertainqdifferenceequations

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