DLMF:8.17.E6 (Q2646): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: incomplete beta function / rank
 
Normal rank
Property / Symbols used: incomplete beta function / qualifier
 
test:

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.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11360 / rank
 
Normal rank
Property / Symbols used: Q11360 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11360 / qualifier
 
xml-id: C8.S17.XMD1.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11362 / rank
 
Normal rank
Property / Symbols used: Q11362 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11362 / qualifier
 
xml-id: C8.S17.XMD3.m1ddec

Latest revision as of 13:02, 2 January 2020

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DLMF:8.17.E6
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    Statements

    I x ( a , a ) = 1 2 I 4 x ( 1 - x ) ( a , 1 2 ) , IncI 𝑥 𝑎 𝑎 1 2 IncI 4 𝑥 1 𝑥 𝑎 1 2 {\displaystyle{\displaystyle I_{x}\left(a,a\right)=\tfrac{1}{2}I_{4x(1-x)}% \left(a,\tfrac{1}{2}\right),}}
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    0 x 1 2 0 𝑥 1 2 {\displaystyle{\displaystyle 0\leq x\leq\frac{1}{2}}}
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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.m2acdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S17.XMD1.m1ddec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C8.S17.XMD3.m1ddec
    0 references