Formula:2829

Digital Library of Mathematical Functions ID 5.11.E9

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

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\pi}}$: 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
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
 

Resources that cite this formula

No records found.