Formula:2559

Digital Library of Mathematical Functions ID 5.4.E3

${\displaystyle{\displaystyle|\Gamma\left(iy\right)|=\left(\frac{\pi}{y\sinh\left(\pi y\right)}\right)^{1/2},}}$

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
• ${\displaystyle{\displaystyle\sinh\NVar{z}}}$: hyperbolic sine function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle y}}$: real variable
 

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