DLMF:2.5.E36 (Q812)

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DLMF:2.5.E36
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    Statements

    Defining formula
    E j ⁢ k ⁢ ( x ) = 1 2 ⁢ π ⁢ i ⁢ ∫ q j ⁢ k - i ⁢ ∞ q j ⁢ k + i ⁢ ∞ x - z ⁢ G j ⁢ k ⁢ ( z ) ⁢ d z = o ⁡ ( x - q j ⁢ k ) subscript 𝐸 𝑗 𝑘 𝑥 1 2 𝜋 𝑖 superscript subscript subscript 𝑞 𝑗 𝑘 𝑖 subscript 𝑞 𝑗 𝑘 𝑖 superscript 𝑥 𝑧 subscript 𝐺 𝑗 𝑘 𝑧 𝑧 little-o superscript 𝑥 subscript 𝑞 𝑗 𝑘 {\displaystyle{\displaystyle E_{jk}(x)=\frac{1}{2\pi i}\int_{q_{jk}-i\infty}^{% q_{jk}+i\infty}x^{-z}G_{jk}(z)\mathrm{d}z=o\left(x^{-q_{jk}}\right)}}
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    DLMF id
    DLMF:2.5.E36
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