Some Holomorphic Generalizations of Loxodromic Functions

被引：0
|
作者：
Lukivs'ka, Dz. V. [1 ]
机构：
[1] I Franko Lviv Natl Univ, Lvov, Ukraine
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2018年 / 69卷 / 09期
关键词：
D O I：
10.1007/s11253-018-1449-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a functional equation of the form f(qz) = p(z)f(z), z a a",\{0}, q a a",\{0}, |q| < 1. For some fixed elementary functions p(z), we determine holomorphic solutions of this equation. These solutions are generalizations of loxodromic functions. Some solutions can be represented via the Schottky-Klein prime function.
引用
收藏
页码：1490 / 1495
页数：6
相关论文
共 50 条
12345