Approximation of Poincare's new functions by rational functions
Approximation of Poincare's new functions by rational functions
复制标题
用有理函数逼近庞加莱新函数
DOI：
10.1080/10236198.2012.755963
复制
发表时间：
2013
影响因子：
1.1
通讯作者：
S.
中科院分区：
文献类型：
--
作者：
Nishioka;S.
本文介绍了一种用有理函数逼近Poincaré“新”类亚纯函数的方法。这类函数由具有“乘法定理”的亚纯函数组成，该定理具有适当的条件，该条件是关于变换发送的差分方程组。 到 得双曲余切值. .由于有理函数的作图比较容易，我们可以通过我们的结果得到这些“新”函数的粗略图形。我们的方法使用差分方程的重复替换。
In this paper, we introduce a way to approximate meromorphic functions belonging to Poincaré's ‘new’ class by rational functions. The class consists of meromorphic functions having a ‘théorèm de multiplication’ with a suitable condition, which is a system of difference equations on the transform sending to , where . Since graphing rational functions is somewhat easy, we are able to know rough graphs of those ‘new’ functions by our result. Our method uses repeated substitutions of the difference equations.