DLMF:8.17.E24 (Q2666): 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.m2apdec

Revision as of 13:05, 2 January 2020

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DLMF:8.17.E24
No description defined

    Statements

    test
    I x ⁡ ( m , n ) = ( 1 - x ) n ⁢ ∑ j = m ∞ ( n + j - 1 j ) ⁢ x j , IncI 𝑥 𝑚 𝑛 superscript 1 𝑥 𝑛 superscript subscript 𝑗 𝑚 binomial 𝑛 𝑗 1 𝑗 superscript 𝑥 𝑗 {\displaystyle{\displaystyle I_{x}\left(m,n\right)=(1-x)^{n}\sum_{j=m}^{\infty% }\genfrac{(}{)}{0.0pt}{}{n+j-1}{j}x^{j},}}
    0 references
    DLMF id
    DLMF:8.17.E24
    0 references
    constraint
    0 ≤ x < 1 0 𝑥 1 {\displaystyle{\displaystyle 0\leq x<1}}
    0 references
    Symbols used
    incomplete beta function
    test
    I x ⁡ ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}}
    xml-id
    C8.S17.E2.m2apdec
    0 references
     
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