DLMF:8.17.E17 (Q2658): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11367 / rank
 
Normal rank
Property / Symbols used: Q11367 / qualifier
 
Defining formula:

x ′ superscript 𝑥 ′ {\displaystyle{\displaystyle x^{\prime}}}

x^{\prime}
Property / Symbols used: Q11367 / qualifier
 
xml-id: C8.S17.XMD9.m1cdec

Latest revision as of 14:04, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:8.17.E17
No description defined

    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
    Q11362
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C8.S17.XMD3.m1ndec
    0 references
    Q11368
    Defining formula
    c 𝑐 {\displaystyle{\displaystyle c}}
    xml-id
    C8.S17.XMD8.m1bdec
    0 references
    Q11367
    Defining formula
    x ′ superscript 𝑥 ′ {\displaystyle{\displaystyle x^{\prime}}}
    xml-id
    C8.S17.XMD9.m1cdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2658&oldid=43128"