ELLIPTICTHETA _ _ _ _ _ _ _ _ _ _ _ _ operator

The EllipticTheta operator returns one of the four Theta functions. It cannot except any number other than 1,2,3 or 4 as its first argument.

syntax:

examples:

EllipticTheta(1, 1.4, 0.72) 

  0.91634775373  


EllipticTheta(2, 3.9, 6.1 ) 

  -48.0202736969 + 20.9881034377 i 


EllipticTheta(3, 0.67, 0.2) 

  1.0083077448   


EllipticTheta(4, 8, 0.75) 

  0.894963369304 


EllipticTheta(5, 1, 0.1) 

  ***** In EllipticTheta(a,u,m); a = 1,2,3 or 4.   

Theta functions are important because every one of the Jacobian Elliptic functions can be expressed as the ratio of two theta functions.