We define $\psi ( x ) = \frac { \Gamma ^ { \prime } ( x ) } { \Gamma ( x ) }$ on $\mathbb{R}^{+*}$. Show that the function $\psi$ is increasing on $\mathbb { R } ^ { + * }$.
We define $\psi ( x ) = \frac { \Gamma ^ { \prime } ( x ) } { \Gamma ( x ) }$ on $\mathbb{R}^{+*}$.
Show that the function $\psi$ is increasing on $\mathbb { R } ^ { + * }$.