Mathematica > Mathematics and Algorithms > Mathematical Functions > Special Functions > KleinInvariantJ
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KleinInvariantJ

KleinInvariantJ[]
gives the Klein invariant modular elliptic function .

DetailsDetails

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • The argument is the ratio of Weierstrass half-periods .
  • KleinInvariantJ is given in terms of Weierstrass invariants by .
  • is invariant under any combination of the modular transformations and .
  • For certain special arguments, KleinInvariantJ automatically evaluates to exact values.
  • KleinInvariantJ can be evaluated to arbitrary numerical precision.
  • KleinInvariantJ automatically threads over lists.
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