3.5.E39

MaRDI QIDQ1265

• Label: 3.5.E39

Digital Library of Mathematical Functions ID 3.5.E39

${\displaystyle{\displaystyle g(t)=\frac{1}{2\pi\mathrm{i}}\int_{\sigma-\mathrm{i}\infty}^{\sigma+\mathrm{i}\infty}e^{tp}G(p)\mathrm{d}p,}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle g(t)}}$: function
• ${\displaystyle{\displaystyle G(p)}}$: Laplace transform of $$g(t)$$ (locally)
• ${\displaystyle{\displaystyle\sigma}}$: parameter
 

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