DLMF:8.17.E6 (Q2646)

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DLMF:8.17.E6
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    Statements

    test
    I x ⁡ ( a , a ) = 1 2 ⁢ I 4 ⁢ x ⁢ ( 1 - x ) ⁡ ( a , 1 2 ) , IncI 𝑥 𝑎 𝑎 1 2 IncI 4 𝑥 1 𝑥 𝑎 1 2 {\displaystyle{\displaystyle I_{x}\left(a,a\right)=\tfrac{1}{2}I_{4x(1-x)}% \left(a,\tfrac{1}{2}\right),}}
    0 references
    DLMF id
    DLMF:8.17.E6
    0 references
    constraint
    0 ≤ x ≤ 1 2 0 𝑥 1 2 {\displaystyle{\displaystyle 0\leq x\leq\frac{1}{2}}}
    0 references
    Symbols used
    incomplete beta function
    test
    I x ⁡ ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}
    xml-id
    C8.S17.E2.m2acdec
    0 references
    Q11360
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S17.XMD1.m1ddec
    0 references
    Q11362
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S17.XMD3.m1ddec
    0 references
     
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