Corpus ID: 235790231

Elliptic functions in signature four

  title={Elliptic functions in signature four},
  author={P. L. Robinson},
We explore the relationships between two elliptic functions constructed by Shen in the signature four Ramanujan theory. Li-Chien Shen has introduced two separate elliptic functions in the Ramanujan theory of elliptic functions in signature four. In [2014] he constructed a partial analogue dn2 of the classical Jacobian elliptic function dn, involving an incomplete integral of the hypergeometric function F ( 1 4 , 3 4 ; 1 2 ; ●) and a choice of modulus. In [2016] he constructed an elliptic… Expand


The elliptic function dn2 of Shen, arXiv 2009.04910. Department of Mathematics, University of Florida, Gainesville FL 32611 USA Email address:
  • 2009
On a theory of elliptic functions based on the incomplete integral of the hypergeometric function 2 F 1 ( 14 , 34 ; 12 ; z )
  • Jacobian Elliptic Functions