DLMF:1.4.E12 (Q91): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10756 / rank
 
Normal rank
Property / Symbols used: Q10756 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q10756 / qualifier
 
xml-id: C1.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1adec

Latest revision as of 14:50, 1 January 2020

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English
DLMF:1.4.E12
No description defined

    Statements

    test
    ( f ⁢ g ) ( n ) = f ( n ) ⁢ g + ( n 1 ) ⁢ f ( n - 1 ) ⁢ g ′ + … + ( n k ) ⁢ f ( n - k ) ⁢ g ( k ) + … + f ⁢ g ( n ) . superscript 𝑓 𝑔 𝑛 superscript 𝑓 𝑛 𝑔 binomial 𝑛 1 superscript 𝑓 𝑛 1 superscript 𝑔 ′ … binomial 𝑛 𝑘 superscript 𝑓 𝑛 𝑘 superscript 𝑔 𝑘 … 𝑓 superscript 𝑔 𝑛 {\displaystyle{\displaystyle(fg)^{(n)}=f^{(n)}g+\genfrac{(}{)}{0.0pt}{}{n}{1}f% ^{(n-1)}g^{\prime}+\dots+\genfrac{(}{)}{0.0pt}{}{n}{k}f^{(n-k)}g^{(k)}+\dots+% fg^{(n)}.}}
    0 references
    DLMF id
    DLMF:1.4.E12
    0 references
    Symbols used
    Q10754
    test
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1adec
    0 references
    Q10756
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C1.S1.XMD4.m1dec
    0 references
    Q10757
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1adec
    0 references
     
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