Formula:KLS:01.02:06

<< Formula:KLS:01.02:05

formula in The gamma and beta function

Formula:KLS:01.02:07 >>

${\displaystyle{\displaystyle{\displaystyle\Gamma\left(z\right)\Gamma\left(z+1/2\right)=2^{1-2z}\sqrt{\pi}\,\Gamma\left(2z\right),\quad z\in\mathbb{C}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle 2z\neq 0,-1,-2,\ldots}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle\Gamma}}}$ : Euler's gamma function : http://dlmf.nist.gov/5.2#E1

Bibliography

Equation in Section 1.2 of KLS.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:KLS:01.02:05

formula in The gamma and beta function

Formula:KLS:01.02:07 >>