Formula:729

Digital Library of Mathematical Functions ID 2.4.E6

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

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
• ${\displaystyle{\displaystyle\sigma}}$: constant
• ${\displaystyle{\displaystyle F(z)}}$: comparison function
• ${\displaystyle{\displaystyle f(x)}}$: inverse transform of comparison function
 

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