This is documentation for Mathematica 3, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)
 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Elliptic Integrals  /

  • EllipticLog[ x , y , a , b ] gives the generalized logarithm associated with the elliptic curve .
  • EllipticLog[ x , y , a , b ] is defined as the value of the integral , where the sign of the square root is specified by giving the value of such that .
  • See the Mathematica book: Section 3.2.11.
  • See also: EllipticExp.

    Further Examples

    The arguments and given to EllipticLog must be related by .



    It is natural to think of EllipticLog as a function of a single argument (for fixed parameters and ). You can supply the argument automatically; choosing the opposite branch for the square root changes the sign of the result of EllipticLog.



    This is the derivative.