DLMF:8.17.E16 (Q2657): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: incomplete beta function / rank
 
Normal rank
Property / Symbols used: incomplete beta function / qualifier
 
Defining formula:

I x ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}

\normincBetaI{\NVar{x}}@{\NVar{a}}{\NVar{b}}
Property / Symbols used: incomplete beta function / qualifier
 
xml-id: C8.S17.E2.m2aidec

Revision as of 14:03, 2 January 2020

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DLMF:8.17.E16
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    Statements

    a I x ( a + 1 , b ) = ( a + c x ) I x ( a , b ) - c x I x ( a - 1 , b ) , 𝑎 IncI 𝑥 𝑎 1 𝑏 𝑎 𝑐 𝑥 IncI 𝑥 𝑎 𝑏 𝑐 𝑥 IncI 𝑥 𝑎 1 𝑏 {\displaystyle{\displaystyle aI_{x}\left(a+1,b\right)=(a+cx)I_{x}\left(a,b% \right)-cxI_{x}\left(a-1,b\right),}}
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    DLMF:8.17.E16
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    I x ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}
    C8.S17.E2.m2aidec
    0 references