# Math Help - Gamma functions

1. ## Gamma functions

Could somone help me to solve the following gamma function:

T(2+i)/T(-2+i)

Thank you

2. May be You find useful the following expression of $\Gamma(*)$ as 'infinite product'...

$\Gamma (z) = \frac {e^{-\gamma z}}{z} \prod_{n=1}^{\infty} \frac{e^{\frac{z}{n}}}{1+\frac{z}{n}}$

Kind regards

$\chi$ $\sigma$

3. Use the recursion relation $\Gamma(z+1)=z\Gamma(z)$. Then $\frac{\Gamma(2+i)}{\Gamma(-2+i)}=\frac{i(1+i)(-1+i)(-2+i)\Gamma(i)}{\Gamma(i)}=2+4i$.