Formula:2603

Digital Library of Mathematical Functions ID 5.5.E3

${\displaystyle{\displaystyle\Gamma\left(z\right)\Gamma\left(1-z\right)=\pi/\sin\left(\pi z\right),}}$

Constraint(s)

${\displaystyle{\displaystyle z\neq 0,\pm 1,\dots}}$

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
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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