DLMF:2.5.E45 (Q821)

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DLMF:2.5.E45
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    h ( ζ ) = 0 e - ζ t 1 + t d t , Laplace-transform 𝜁 superscript subscript 0 superscript 𝑒 𝜁 𝑡 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathscr{L}\mskip-3.0mu h\mskip 3.0mu \left(\zeta% \right)=\int_{0}^{\infty}\frac{e^{-\zeta t}}{1+t}\mathrm{d}t,}}
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    ζ > 0 𝜁 0 {\displaystyle{\displaystyle\Re\zeta>0}}
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