DLMF:26.8.E16 (Q7842): Difference between revisions

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‎Changed an Item: Add constraint
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Property / Symbols used
 
Property / Symbols used: Q10754 / rank
 
Normal rank
Property / Symbols used: Q10754 / qualifier
 
Defining formula:

( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

\binom{\NVar{m}}{\NVar{n}}
Property / Symbols used: Q10754 / qualifier
 
xml-id: C1.S2.SS1.m1aadec

Revision as of 13:53, 2 January 2020

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DLMF:26.8.E16
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    Statements

    Defining formula
    - s ⁡ ( n , n - 1 ) = S ⁡ ( n , n - 1 ) = ( n 2 ) , Stirling-number-first-kind-S 𝑛 𝑛 1 Stirling-number-second-kind-S 𝑛 𝑛 1 binomial 𝑛 2 {\displaystyle{\displaystyle-s\left(n,n-1\right)=S\left(n,n-1\right)=\genfrac{% (}{)}{0.0pt}{}{n}{2},}}
    0 references
    DLMF id
    DLMF:26.8.E16
    0 references
    Symbols used
    Q12132
    Defining formula
    s ⁡ ( n , k ) Stirling-number-first-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle s\left(\NVar{n},\NVar{k}\right)}}
    xml-id
    C26.S8.SS1.p1.m5aidec
    0 references
    Q12131
    Defining formula
    S ⁡ ( n , k ) Stirling-number-second-kind-S 𝑛 𝑘 {\displaystyle{\displaystyle S\left(\NVar{n},\NVar{k}\right)}}
    xml-id
    C26.S8.SS1.p3.m2ahdec
    0 references
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1aadec
    0 references
     
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