DLMF:2.5.E35 (Q811)

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DLMF:2.5.E35
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    Statements

    Defining formula
    I j ⁢ k ⁢ ( x ) = ∑ p j ⁢ k < ℜ ⁡ z < q j ⁢ k res ⁡ [ - x - z ⁢ G j ⁢ k ⁢ ( z ) ] + E j ⁢ k ⁢ ( x ) , subscript 𝐼 𝑗 𝑘 𝑥 subscript subscript 𝑝 𝑗 𝑘 𝑧 subscript 𝑞 𝑗 𝑘 residue delimited-[] superscript 𝑥 𝑧 subscript 𝐺 𝑗 𝑘 𝑧 subscript 𝐸 𝑗 𝑘 𝑥 {\displaystyle{\displaystyle I_{jk}(x)=\sum_{p_{jk}<\Re z<q_{jk}}\Residue\left% [-x^{-z}G_{jk}(z)\right]+E_{jk}(x),}}
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    DLMF id
    DLMF:2.5.E35
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    Symbols used
    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1aedec
    0 references
    Q10960
    Defining formula
    res residue {\displaystyle{\displaystyle\Residue}}
    xml-id
    C1.S10.SS3.p5.m4abdec
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