Formula:335

Digital Library of Mathematical Functions ID 1.10.E10

${\displaystyle{\displaystyle\frac{1}{2\pi i}\int_{C}\frac{zf^{\prime}(z)}{f(z)}\mathrm{d}z=\mbox{(sum of locations of zeros)}-\mbox{(sum of locations of poles)},}}$

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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