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EllipticK






Mathematica Notation

Traditional Notation









Elliptic Integrals >EllipticK[z]





Representations through more general functions

Through hypergeometric functions

Involving 2F1

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Through Meijer G

Classical cases for the direct function itself

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Classical cases involving algebraic functions

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Classical cases involving unit step theta

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Classical cases involving sgn

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Classical cases involving powers of complete elliptic integral K

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Generalized cases involving algebraic functions

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Generalized cases involving unit step theta

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Generalized cases involving sgn

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Generalized cases involving powers of complete elliptic integral K

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Through other functions

Involving incomplete elliptic integrals

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Involving elliptic theta functions

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Involving inverse Jacobi functions

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Involving some elliptic-type functions

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Involving Legendre functions

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Involving some hypergeometric-type functions

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