DLMF:18.10.E4 (Q5628)

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DLMF:18.10.E4
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\frac{\JacobipolyP{\alpha}{\alpha}{n}@{\cos@@{\theta}}}{\JacobipolyP{\alpha}{\alpha}{n}@{1}}=\frac{\ultrasphpoly{\alpha+\frac{1}{2}}{n}@{\cos@@{\theta}}}{\ultrasphpoly{\alpha+\frac{1}{2}}{n}@{1}}}=\frac{\EulerGamma@{\alpha+1}}{\pi^{\frac{1}{2}}\EulerGamma{(\alpha+\tfrac{1}{2})}}\*{\int_{0}^{\pi}(\cos@@{\theta}+i\sin@@{\theta}\cos@@{\phi})^{n}\*(\sin@@{\phi})^{2\alpha}\diff{\phi}},}
    0 references
    DLMF id
    DLMF:18.10.E4
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha>-\frac{1}{2}}
    0 references
    Symbols used
    gamma function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    xml-id
    C5.S2.E1.m2abdec
    0 references
    Q11660
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}}
    xml-id
    C18.S3.T1.t1.r2.m2abdec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    cosine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    xml-id
    C4.S14.E2.m2acdec
    0 references
    Q10770
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    imaginary unit
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2aadec
    0 references
    Q10771
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
    sine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    xml-id
    C4.S14.E1.m2abdec
    0 references
     
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