DLMF:8.17.E15 (Q2656): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11361 / rank
 
Normal rank
Property / Symbols used: Q11361 / qualifier
 
Defining formula:

b 𝑏 {\displaystyle{\displaystyle b}}

b
Property / Symbols used: Q11361 / qualifier
 
xml-id: C8.S17.XMD2.m1kdec

Revision as of 14:03, 2 January 2020

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DLMF:8.17.E15
No description defined

    Statements

    Defining formula
    ( b + a ⁢ x ′ ) ⁢ I x ⁡ ( a , b ) = a ⁢ x ′ ⁢ I x ⁡ ( a + 1 , b - 1 ) + b ⁢ I x ⁡ ( a , b + 1 ) , 𝑏 𝑎 superscript 𝑥 ′ IncI 𝑥 𝑎 𝑏 𝑎 superscript 𝑥 ′ IncI 𝑥 𝑎 1 𝑏 1 𝑏 IncI 𝑥 𝑎 𝑏 1 {\displaystyle{\displaystyle(b+ax^{\prime})I_{x}\left(a,b\right)=ax^{\prime}I_% {x}\left(a+1,b-1\right)+bI_{x}\left(a,b+1\right),}}
    0 references
    DLMF id
    DLMF:8.17.E15
    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.m2ahdec
    0 references
    Q11360
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S17.XMD1.m1ldec
    0 references
    Q11361
    Defining formula
    b 𝑏 {\displaystyle{\displaystyle b}}
    xml-id
    C8.S17.XMD2.m1kdec
    0 references
     
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