Formula:4871

Digital Library of Mathematical Functions ID 12.10.E16

${\displaystyle{\displaystyle\Gamma\left(\tfrac{1}{2}+z\right)\sim\sqrt{2\pi}e^{-z}z^{z}\sum_{s=0}^{\infty}\frac{\gamma_{s}}{z^{s}};}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle s}}$: nonnegative integer
 

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