The products of three theta functions and the general cubic theta functions

被引：0
|
作者：
Xiao Mei Yang
机构：
[1] East China Normal University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2010年 / 26卷
关键词：
Jacobi theta function; quintuple product identity; Winquist’s identity; Ramanujan identity; 11F27; 33E05;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we establish two theta function identities with four parameters by the theory of theta functions. Using these identities we introduce common generalizations of Hirschhorn-Garvan-Borwein cubic theta functions, and also re-derive the quintuple product identity, one of Ramanujan’s identities, Winquist’s identity and many other interesting identities.
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页码：1115 / 1124
页数：9
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