Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (2): 211-217.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.008

Previous Articles     Next Articles

A General Theta Function Identity and Modular Equations

  

  1. College of Mathematics, Luoyang Normal University
  • Received:2014-11-03 Online:2015-06-30 Published:2020-11-23
  • About author:XUE Lin(1979-),female, native of Luoyang, Henan,an associate professor of Luoyang Normal University, M.S.D., engages in special functions; ZHANG Zhi-zheng(1964-), male, native of Jiaozuo, Henan, who has been out of two postdoctoral stations, a professor of Luoyang Normal University, engages in q-series and combinatorics and special functions.
  • Supported by:
    Supported by the National Natural Science Foundation of China(11071107,11371184);

Abstract: In this paper, we establish a general theta function identity. It is a common origin of many theta function identities. From which many classical and new modular equations are derived. All the proofs are elementary. 

Key words: theta function, jacobian elliptic function, modular equations, quasi periods; pole

CLC Number: