Formula:728

Digital Library of Mathematical Functions ID 2.4.E5

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle q(t)=\frac{1}{2\pi i}\int_{\sigma-i\infty}^{\sigma+i\infty}e^{tz}Q(z)\diff{z},}

Constraint(s)

${\displaystyle{\displaystyle 0<t<\infty}}$

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
• ${\displaystyle{\displaystyle q(t)}}$: analytic function
• ${\displaystyle{\displaystyle Q(z)}}$: Laplace transform of q ( t )
• ${\displaystyle{\displaystyle\sigma}}$: constant
 

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