The uniqueness of meromorphic function shared values with meromorphic solutions of a class of q-difference equations

Author:

Wang Zhuo1,Lin Weichuan2

Affiliation:

1. School of Mathematics, Renmin University of China, Beijing 100872, China

2. Fujian Preschool Education College, Fuzhou 350007, China

Abstract

<abstract><p>We first investigate the meromorphic solutions of a class of homogeneous second-order q-difference equations and the uniqueness problem for a meromorphic function with three shared values; then we discuss the uniqueness problem for the meromorphic solutions of a class of nonhomogeneous q-difference equations and a meromorphic function with four shared values.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference11 articles.

1. W. Bergweiler, W. Ishizaki, N. Yanagihara, Meromorphic solutions of some functional equation, Methods Appl. Annl., 5 (1998), 248–258. https://doi.org/10.4310/MAA.1998.v5.n3.a2

2. Z. X. Chen, Complex differences and difference equations, Beijing, Science Press, 2014. https://doi.org/10.1155/2014/124843

3. Z. X. Chen, K. H. Shou, On growth of meromorphic solutions for linear difference equations, Abstr. Appl., 2013, 619296. https://doi.org/10.1186/1687-1847-2013-60

4. N. Cui, Z. X. Chen, Uniqueness for meromorphic solutions sharing three values with a meromorphic function to some linear difference equations, Chinese Ann. Math., 38A (2017), 13–22.

5. W. K. Hayman, Meromorphic functions, Clarendon Press, Oxford, 1964.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3