Certain Families of Elliptic Functions Defined by q-Series

被引：0
作者：
Nobushige Kurokawa
Masato Wakayama
机构：
[1] Tokyo Institute of Technology,Department of Mathematics
[2] Kyushu University,Faculty of Mathematics
来源：
The Ramanujan Journal | 2005年 / 10卷
关键词：
-series; Weierstrass ℘-function; elliptic functions; Eisenstein series; algebraic differential equations; -gamma function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce certain families of elliptic functions involving the Weierstrass ℘-function via q-series systematically and investigate their analytic and algebraic properties. Especially, we give examples of non-linear algebraic ordinary differential equations satisfied by some such elliptic functions.
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页码：23 / 41
页数：18
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