A generalized circular summation of theta function and its application

作者：Zeng Xian Feng^*

来源：Journal of Mathematical Analysis and Applications, 2009, 356(2): 698-703.

DOI：10.1016/j.jmaa.2009.03.047

• Circular summation
• Elliptic function
• Theta function

In this paper we prove a generalized Ramanujan's circular summation of theta function using the theory of elliptic and theta functions. This identity also includes a result of M. Boon. M.L. Glasser, J. Zar. I.J. Zucker and an addition formula of theta functions. Besides, we can get some new trigonometric identities.

• 出版日期2009-8-15
• 单位华东师范大学