DLMF:26.3.E10 (Q7783): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12171 / rank
 
Normal rank
Property / Symbols used: Q12171 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12171 / qualifier
 
xml-id: C26.S1.XMD5.m1jdec

Revision as of 01:08, 2 January 2020

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DLMF:26.3.E10
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    Statements

    Defining formula
    ( m n ) = ∑ k = 0 n ( - 1 ) n - k ⁢ ( m + 1 k ) , binomial 𝑚 𝑛 superscript subscript 𝑘 0 𝑛 superscript 1 𝑛 𝑘 binomial 𝑚 1 𝑘 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{m}{n}=\sum_{k=0}^{n}(-1)^{% n-k}\genfrac{(}{)}{0.0pt}{}{m+1}{k},}}
    0 references
    DLMF id
    DLMF:26.3.E10
    0 references
    constraint
    m ≥ n ≥ 0 𝑚 𝑛 0 {\displaystyle{\displaystyle m\geq n\geq 0}}
    0 references
    Symbols used
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1akdec
    0 references
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1bdec
    0 references
    Q12171
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C26.S1.XMD5.m1jdec
    0 references
     
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