DLMF:8.17.E2 (Q2642)

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DLMF:8.17.E2
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    Statements

    Defining formula
    I x ⁡ ( a , b ) = B x ⁡ ( a , b ) / B ⁡ ( a , b ) , IncI 𝑥 𝑎 𝑏 incomplete-Beta 𝑥 𝑎 𝑏 Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle I_{x}\left(a,b\right)=\mathrm{B}_{x}\left(a,b% \right)/\mathrm{B}\left(a,b\right),}}
    0 references
    DLMF id
    DLMF:8.17.E2
    0 references
    Symbols used
    beta function
    Defining formula
    B ⁡ ( a , b ) Euler-Beta 𝑎 𝑏 {\displaystyle{\displaystyle\mathrm{B}\left(\NVar{a},\NVar{b}\right)}}
    xml-id
    C5.S12.E1.m2adec
    0 references
    incomplete beta function
    Defining formula
    B x ⁡ ( a , b ) incomplete-Beta 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle\mathrm{B}_{\NVar{x}}\left(\NVar{a},\NVar{b}\right% )}}
    xml-id
    C8.S17.E1.m2aadec
    0 references
    Q11360
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S17.XMD1.m1adec
    0 references
    Q11361
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C8.S17.XMD2.m1adec
    0 references
    Q11362
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S17.XMD3.m1adec
    0 references
     
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