Formula:760

Digital Library of Mathematical Functions ID 2.5.E14

${\displaystyle{\displaystyle|\Gamma\left(x+iy\right)|=\sqrt{2\pi}e^{-\pi|y|/2}|y|^{x-(1/2)}\left(1+o\left(1\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle o\left(\NVar{x}\right)}}$: order less than
 

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