Formula:791

Digital Library of Mathematical Functions ID 2.5.E45

${\displaystyle{\displaystyle\mathscr{L}\mskip-3.0mu h\mskip 3.0mu \left(\zeta\right)=\int_{0}^{\infty}\frac{e^{-\zeta t}}{1+t}\mathrm{d}t,}}$

Constraint(s)

${\displaystyle{\displaystyle\Re\zeta>0}}$

Symbols List

• ${\displaystyle{\displaystyle\mathscr{L}\left(\NVar{f}\right)\left(\NVar{s}\right)}}$: Laplace transform
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle h(x)}}$: locally integrable function
 

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