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KleinInvariantJMathieuS

ModularLambda

FilledSmallSquareModularLambda[] gives the modular lambda elliptic function .

FilledSmallSquare Mathematical function (see Section A.3.10).

FilledSmallSquareModularLambda 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 .

FilledSmallSquareModularLambda gives the parameter for elliptic functions in terms of according to .

FilledSmallSquareModularLambda is related to EllipticTheta by where the nome is given by .

FilledSmallSquare is invariant under any combination of the modular transformations and .

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: DedekindEta, KleinInvariantJ, WeierstrassHalfPeriods.

Further Examples

KleinInvariantJMathieuS