DLMF:2.11.E19 (Q1044)

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DLMF:2.11.E19
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    Statements

    Defining formula
    w j ⁢ ( z ) = e λ j ⁢ z ⁢ z μ j ⁢ ∑ s = 0 n - 1 a s , j z s + R n ( j ) ⁢ ( z ) , subscript 𝑤 𝑗 𝑧 superscript 𝑒 subscript 𝜆 𝑗 𝑧 superscript 𝑧 subscript 𝜇 𝑗 superscript subscript 𝑠 0 𝑛 1 subscript 𝑎 𝑠 𝑗 superscript 𝑧 𝑠 superscript subscript 𝑅 𝑛 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)=e^{\lambda_{j}z}z^{\mu_{j}}\sum_{s=0}^{n% -1}\frac{a_{s,j}}{z^{s}}+R_{n}^{(j)}(z),}}
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    DLMF id
    DLMF:2.11.E19
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    comment
    Warning: Falling back to standard tex;
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    constraint
    j = 1 , 2 𝑗 1 2 {\displaystyle{\displaystyle j=1,2}}
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    Symbols used
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aldec
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    Q11141
    Defining formula
    R n ( j ) ⁢ ( z ) superscript subscript 𝑅 𝑛 𝑗 𝑧 {\displaystyle{\displaystyle R_{n}^{(j)}(z)}}
    xml-id
    C2.S11.XMD10.m1dec
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    Q11142
    Defining formula
    a s , j subscript 𝑎 𝑠 𝑗 {\displaystyle{\displaystyle a_{s,j}}}
    xml-id
    C2.S11.XMD9.m1dec
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    Q11055
    Defining formula
    λ j subscript 𝜆 𝑗 {\displaystyle{\displaystyle\lambda_{j}}}
    xml-id
    C2.S7.XMD14.m1dec
    0 references
    Q11056
    Defining formula
    μ j subscript 𝜇 𝑗 {\displaystyle{\displaystyle\mu_{j}}}
    xml-id
    C2.S7.XMD15.m1dec
    0 references
    Q11050
    Defining formula
    w j ⁢ ( z ) subscript 𝑤 𝑗 𝑧 {\displaystyle{\displaystyle w_{j}(z)}}
    xml-id
    C2.S7.XMD8.m1dec
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