Formula:333

Digital Library of Mathematical Functions ID 1.10.E8

${\displaystyle{\displaystyle\frac{1}{2\pi i}\int_{C}f(z)\mathrm{d}z=\mbox{sum of the residues of $f(z)$ within $C$}.}}$

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
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: variable
• ${\displaystyle{\displaystyle C}}$: closed contour
 

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