Formula:2633

Digital Library of Mathematical Functions ID 5.6.E9

${\displaystyle{\displaystyle|\Gamma\left(z\right)|\leq(2\pi)^{1/2}|z|^{x-(1/2)}e^{-\pi|y|/2}\exp\left(\tfrac{1}{6}|z|^{-1}\right).}}$

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
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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