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EllipticThetaPrimeKleinInvariantJ

DedekindEta

FilledSmallSquareDedekindEta[] gives the Dedekind eta modular elliptic function .

FilledSmallSquare Mathematical function (see Section A.3.10).

FilledSmallSquareDedekindEta is defined only in the upper half of the complex plane. It is not defined for real .

FilledSmallSquare The argument is the ratio of Weierstrass half-periods .

FilledSmallSquareDedekindEta satisfies where is the discriminant, given in terms of Weierstrass invariants by .

FilledSmallSquare See Section 3.2.11 for a discussion of argument conventions for elliptic functions.

FilledSmallSquare See The Mathematica Book: Section 3.2.11.

FilledSmallSquare See also: ModularLambda, KleinInvariantJ, EllipticTheta, PartitionsP.

Further Examples

EllipticThetaPrimeKleinInvariantJ