Formula:2827

Digital Library of Mathematical Functions ID 5.11.E7

${\displaystyle{\displaystyle\Gamma\left(az+b\right)\sim\sqrt{2\pi}e^{-az}(az)^{az+b-(1/2)},}}$

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
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle b}}$: real or complex variable
• ${\displaystyle{\displaystyle a_{k}}}$: coefficient
 

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