DLMF:3.5.E37 (Q1292)

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DLMF:3.5.E37
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    c - i c + i e ζ ζ - s p k ( 1 / ζ ) p ( 1 / ζ ) d ζ = 0 , superscript subscript 𝑐 imaginary-unit 𝑐 imaginary-unit superscript 𝑒 𝜁 superscript 𝜁 𝑠 subscript 𝑝 𝑘 1 𝜁 subscript 𝑝 1 𝜁 𝜁 0 {\displaystyle{\displaystyle\int_{c-\mathrm{i}\infty}^{c+\mathrm{i}\infty}e^{% \zeta}\zeta^{-s}p_{k}(1/\zeta)p_{\ell}(1/\zeta)\mathrm{d}\zeta=0,}}
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    DLMF:3.5.E37
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