一类差分潘勒韦方程亚纯解的性质
Properties of Meromorphic Solutions of a Class of Difference Painlevé Equations
DOI: 10.12677/AAM.2018.77100, PDF,    科研立项经费支持
作者: 陈宝琴, 李升*：广东海洋大学，数学与计算机学院，广东 湛江
关键词: 差分潘勒韦方程；增长级；极点；零点；Difference Painlevé Equations； Growth； Poles； Zeros
摘要: 本文研究了一类的形如 的差分潘勒韦方程，其中 为有理函数，得到以下结论：1) 若w只有有限个零点和极点，则 且 ，其中R为有理函数， 为常数， 不同时为0；2) 若w有无穷多个零点或极点，则 。
Abstract: This paper studies a class of Painlevé difference equations of the form where is a rational function, and proves the following conclusions: 1) if w has finitely many zeros and poles, then and , where R is a rational function, and are constants such that either or ; 2) if w has infinitely many zeros or poles, then .
文章引用：陈宝琴, 李升. 一类差分潘勒韦方程亚纯解的性质[J]. 应用数学进展, 2018, 7(7): 836-841. https://doi.org/10.12677/AAM.2018.77100

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