DLMF:1.2.E14 (Q16)

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DLMF:1.2.E14
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    Statements

    DLMF defining formula
    f ⁢ ( x ) ( x - α 1 ) n = B 1 x - α 1 + B 2 ( x - α 1 ) 2 + … + B n ( x - α 1 ) n , 𝑓 𝑥 superscript 𝑥 subscript 𝛼 1 𝑛 subscript 𝐵 1 𝑥 subscript 𝛼 1 subscript 𝐵 2 superscript 𝑥 subscript 𝛼 1 2 … subscript 𝐵 𝑛 superscript 𝑥 subscript 𝛼 1 𝑛 {\displaystyle{\displaystyle\frac{f(x)}{(x-\alpha_{1})^{n}}=\frac{B_{1}}{x-% \alpha_{1}}+\frac{B_{2}}{(x-\alpha_{1})^{2}}+\dots+\frac{B_{n}}{(x-\alpha_{1})% ^{n}},}}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1ldec
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    polynomial of degree less than n
    DLMF defining formula
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C1.S2.XMD1.m1bdec
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    coefficient (locally)
    DLMF defining formula
    B j subscript 𝐵 𝑗 {\displaystyle{\displaystyle B_{j}}}
    xml-id
    C1.S2.XMD3.m1dec
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    Identifiers

     
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