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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Elliptic Functions  /
EllipticTheta

  • EllipticTheta[ a , u , q ] gives the theta function ().
  • Mathematical function (see Section A.3.10).
  • , , , .
  • See Section 3.2.11 for a discussion of argument conventions for elliptic and related functions.
  • See the Mathematica book: Section 3.2.11.
  • See also: ModularLambda, DedekindEta, KleinInvariantJ.

    Further Examples

    The third argument of EllipticTheta should be a complex number with absolute value less than 1. This argument is the nome corresponding to the modulus employed by most other elliptic functions. See EllipticNomeQ.

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    The Jacobi elliptic functions (sn and friends) are often expressed in terms of theta functions, which can be computed very efficiently.

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    This is the derivative.

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