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convert/Elliptic_related - convert - when possible - special functions admitting a 2F1 hypergeometric representation into Elliptic related functions
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Calling Sequence
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convert(expr, Elliptic_related)
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Parameters
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expr
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Maple expression, equation, or a set or list of them
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Description
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convert/Elliptic_related converts - when possible - special functions admitting a 2F1 hypergeometric representation into Elliptic related functions; that is, into any of:
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FunctionAdvisor( Elliptic_related );
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The 11 functions in the "Elliptic_related" class are:
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![[EllipticCE, EllipticCK, EllipticCPi, EllipticE, EllipticF, EllipticK, EllipticModulus, EllipticNome, EllipticPi, InverseJacobiAM, InverseJacobiSN]](/support/helpjp/helpview.aspx?si=7081/file03603/math49.png)
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Examples
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![hypergeom([-1/2, 1/2], [1], z^2)](/support/helpjp/helpview.aspx?si=7081/file03603/math71.png)
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![hypergeom([-1/2, 1/2], [1], z^2)](/support/helpjp/helpview.aspx?si=7081/file03603/math74.png)
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![convert(hypergeom([-1/2, 1/2], [1], z^2), Elliptic_related)](/support/helpjp/helpview.aspx?si=7081/file03603/math78.png)
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| (5) |
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![(1/2)*Pi*hypergeom([1/2, 1/2], [1], 1-z^2)](/support/helpjp/helpview.aspx?si=7081/file03603/math85.png)
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![(1/2)*Pi*hypergeom([1/2, 1/2], [1], 1-z^2)](/support/helpjp/helpview.aspx?si=7081/file03603/math88.png)
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![convert((1/2)*Pi*hypergeom([1/2, 1/2], [1], 1-z^2), Elliptic_related)](/support/helpjp/helpview.aspx?si=7081/file03603/math92.png)
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| (11) |
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![MeijerG([[1/2, 3/2], []], [[0], [0]], -1+z^2)](/support/helpjp/helpview.aspx?si=7081/file03603/math127.png)
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![MeijerG([[1/2, 3/2], []], [[0], [0]], -1+z^2)](/support/helpjp/helpview.aspx?si=7081/file03603/math130.png)
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![convert(MeijerG([[1/2, 3/2], []], [[0], [0]], -1+z^2), Elliptic_related)](/support/helpjp/helpview.aspx?si=7081/file03603/math134.png)
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| (13) |
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