DLMF:8.17.E17 (Q2658)

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DLMF:8.17.E17
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    Statements

    Defining formula
    b ⁢ I x ⁡ ( a , b + 1 ) = ( b + c ⁢ x ′ ) ⁢ I x ⁡ ( a , b ) - c ⁢ x ′ ⁢ I x ⁡ ( a , b - 1 ) , 𝑏 IncI 𝑥 𝑎 𝑏 1 𝑏 𝑐 superscript 𝑥 ′ IncI 𝑥 𝑎 𝑏 𝑐 superscript 𝑥 ′ IncI 𝑥 𝑎 𝑏 1 {\displaystyle{\displaystyle bI_{x}\left(a,b+1\right)=(b+cx^{\prime})I_{x}% \left(a,b\right)-cx^{\prime}I_{x}\left(a,b-1\right),}}
    0 references
    DLMF id
    DLMF:8.17.E17
    0 references
    Symbols used
    incomplete beta function
    Defining formula
    I x ⁡ ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}
    xml-id
    C8.S17.E2.m2ajdec
    0 references
    Q11360
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S17.XMD1.m1ndec
    0 references
    Q11361
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C8.S17.XMD2.m1mdec
    0 references
     
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