DLMF:1.2.E12} (Q41)

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DLMF:1.2.E12}
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    Statements

    Defining formula
    f ⁢ ( x ) ( x - α 1 ) ⁢ ( x - α 2 ) ⁢ ⋯ ⁢ ( x - α n ) = A 1 x - α 1 + A 2 x - α 2 + … + A n x - α n , 𝑓 𝑥 𝑥 subscript 𝛼 1 𝑥 subscript 𝛼 2 ⋯ 𝑥 subscript 𝛼 𝑛 subscript 𝐴 1 𝑥 subscript 𝛼 1 subscript 𝐴 2 𝑥 subscript 𝛼 2 … subscript 𝐴 𝑛 𝑥 subscript 𝛼 𝑛 {\displaystyle{\displaystyle\frac{f(x)}{(x-\alpha_{1})(x-\alpha_{2})\cdots(x-% \alpha_{n})}=\frac{A_{1}}{x-\alpha_{1}}+\frac{A_{2}}{x-\alpha_{2}}+\dots+\frac% {A_{n}}{x-\alpha_{n}},}}
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    DLMF id
    DLMF:1.2.E12}
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1kdec
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    Q10762
    Defining formula
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C1.S2.XMD1.m1dec
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    coefficient (locally)
    Defining formula
    A j subscript 𝐴 𝑗 {\displaystyle{\displaystyle A_{j}}}
    xml-id
    C1.S2.XMD2.m1dec
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