Gamma Function and Related Functions

Let $n$ be a positive integer with $n > 1$ and $x$ a positive real number, this calculator evaluates the following five functions.

1. Gamma function $\displaystyle\Gamma(x)=\int_0^\infty t^{x-1}\mathrm{e}^{-t}\;dt$
2. Log Gamma function $\ln\Gamma(x)$
3. Digamma function $\displaystyle\psi(x)=\frac{d}{dx}\ln\Gamma(x)$
4. Trigamma function $\displaystyle\psi'(x)=\frac{d}{dx}\psi(x)$
5. Polygamma function $\displaystyle\psi^{(n)}(x)=\frac{d^n}{dx^n}\psi(x)$

Gamma Function Calculator