Some Ramanujan-type circular summation formulas

被引：0
|
作者：
Ge, Ji-Ke [1 ]
Luo, Qiu-Ming [2 ]
机构：
[1] Chongqing Univ Sci & Technol, Sch Intelligent Technol & Engn, Chongqing Higher Educ Mega Ctr, Huxi Campus, Chongqing 401331, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing Higher Educ Mega Ctr, Huxi Campus, Chongqing 401331, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Elliptic functions; Ramanujan-type circular summation; Theta functions; Theta function identities; 11F27; 11F20; 33E05; THETA-FUNCTIONS; POWERS; IDENTITY;
D O I：
10.1186/s13662-020-03115-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give two Ramanujan-type circular summation formulas by applying the way of elliptic functions and the properties of theta functions. As applications, we obtain the corresponding imaginary transformation formulas for Ramanujan-type circular summations and some theta function identities.
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页数：19
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