Formula:730

Digital Library of Mathematical Functions ID 2.4.E7

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle q(t)-f(t)=\frac{e^{\sigma t}}{2\pi}\lim\limits_{\eta\to\infty}\int_{-\eta}^{\eta}e^{it\tau}(Q(\sigma+i\tau)-F(\sigma+i\tau))\diff{\tau}.}

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \diff{\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
• ${\displaystyle{\displaystyle F(z)}}$: comparison function
• ${\displaystyle{\displaystyle f(x)}}$: inverse transform of comparison function
 

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