DLMF:19.26.E26 (Q6586)

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DLMF:19.26.E26
No description defined

    Statements

    Defining formula
    R C ⁑ ( x 2 , y 2 ) = R C ⁑ ( a 2 , a ⁒ y ) , Carlson-integral-RC superscript π‘₯ 2 superscript 𝑦 2 Carlson-integral-RC superscript π‘Ž 2 π‘Ž 𝑦 {\displaystyle{\displaystyle R_{C}\left(x^{2},y^{2}\right)=R_{C}\left(a^{2},ay% \right),}}
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    DLMF id
    DLMF:19.26.E26
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    constraint
    β„œ ⁑ x β‰₯ 0 π‘₯ 0 {\displaystyle{\displaystyle\Re x\geq 0}}
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    β„œ ⁑ y > 0 𝑦 0 {\displaystyle{\displaystyle\Re y>0}}
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    a = ( x + y ) / 2 π‘Ž π‘₯ 𝑦 2 {\displaystyle{\displaystyle a=(x+y)/2}}
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    β„œ ⁑ x β‰₯ 0 π‘₯ 0 {\displaystyle{\displaystyle\Re x\geq 0}}
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    β„œ ⁑ y > 0 𝑦 0 {\displaystyle{\displaystyle\Re y>0}}
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    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    Defining formula
    R C ⁑ ( x , y ) Carlson-integral-RC π‘₯ 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    xml-id
    C19.S2.E17.m2agdec
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    Q10811
    Defining formula
    β„œ ⁑ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1adec
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    Q11877
    Defining formula
    x π‘₯ {\displaystyle{\displaystyle x}}
    xml-id
    C19.S26.XMD2.m1udec
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    Q11878
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C19.S26.XMD3.m1vdec
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