Some Ramanujan-type circular summation formulas

Advances in Difference Equations

article

Ge, Ji-Ke¹  Luo, Qiu-Ming² 

[1] School of Intelligent Technology and Engineering, Chongqing University of Science and Technology;Department of Mathematics, Chongqing Normal University

关键词: Elliptic functions;    Ramanujan-type circular summation;    Theta functions;    Theta function identities;   

DOI  :  10.1186/s13662-020-03115-9

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY