DOCUMENTATION CENTER SEARCH
Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > Elliptic Functions >
Built-in Mathematica SymbolTutorials »|See Also »|More About »

JacobiSN

JacobiSN[u, m]
gives the Jacobi elliptic function sn(u|m).
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • sn(u)=sin(phi), where phi=am(u❘m).
  • sn(u❘m) is a doubly periodic function in u with periods 4 K (m) and 2 ⅈ K(1-m), where K is the elliptic integral EllipticK.
  • JacobiSN is a meromorphic function in both arguments.
  • For certain special arguments, JacobiSN automatically evaluates to exact values.
  • JacobiSN can be evaluated to arbitrary numerical precision.
  • JacobiSN automatically threads over lists.
New in 1
© 2008 Wolfram Research, Inc.
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team