# Simplify this expression involving Gamma function

Simplify $\dfrac{2a\cdot\Gamma(2a)}{\Gamma(2a+1)}$.

Where $a$ is any positive real number.

• Is $a$ a natural number? Jun 9, 2014 at 8:42
• @some1, no a is positive real Jun 9, 2014 at 8:43

Actually, this requires only one equation related to Gamma function: $$\Gamma(1 + z) = z\Gamma(z)$$ So, the expression equals to $1$.