Simplify this expression involving Gamma function

Question

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

Where $a$ is any positive real number.

@some1, no a is positive real – SA-255525 Jun 09 '14 at 08:43 — SA-255525, Jun 09 '14 at 08:43

score 4 · Accepted Answer · answered Jun 09 '14 at 08:47

4

It's pretty simple. Check Gamma function definition for help. Or look into spoilers for solution.

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

answered Jun 09 '14 at 08:47

m0nhawk

thanks for your help.your answer confirmed some of my results. – SA-255525 Jun 09 '14 at 10:28

1 Answers1