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EllipticF






Mathematica Notation

Traditional Notation









Elliptic Integrals >EllipticF[z,m]





General characteristics

Domain and analyticity

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Symmetries and periodicities

Parity

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Mirror symmetry

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Periodicity

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Quasi-symmetry

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Poles and essential singularities

With respect to z

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With respect to m

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Branch points

With respect to z

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With respect to m

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Branch cuts

With respect to z

General description

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Formulas on real axis for real m

For m<1

For m>1

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Formulas for vertical intervals

For m<1

For m>0

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With respect to m