DLMF:1.2.E2 (Q2): Difference between revisions

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Latest revision as of 00:48, 3 March 2024

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DLMF:1.2.E2
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    Statements

    DLMF defining formula
    ( a + b ) n = a n + ( n 1 ) ⁢ a n - 1 ⁢ b + ( n 2 ) ⁢ a n - 2 ⁢ b 2 + … + ( n n - 1 ) ⁢ a ⁢ b n - 1 + b n . superscript 𝑎 𝑏 𝑛 superscript 𝑎 𝑛 binomial 𝑛 1 superscript 𝑎 𝑛 1 𝑏 binomial 𝑛 2 superscript 𝑎 𝑛 2 superscript 𝑏 2 … binomial 𝑛 𝑛 1 𝑎 superscript 𝑏 𝑛 1 superscript 𝑏 𝑛 {\displaystyle{\displaystyle(a+b)^{n}=a^{n}+\genfrac{(}{)}{0.0pt}{}{n}{1}a^{n-% 1}b+\genfrac{(}{)}{0.0pt}{}{n}{2}a^{n-2}b^{2}+\dots+\genfrac{(}{)}{0.0pt}{}{n}% {n-1}ab^{n-1}+b^{n}.}}
    0 references
    Symbols used
    Q10728
    DLMF defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1aadec
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    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1adec
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    Identifiers

     
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