Module spfunc::gamma[][src]

The family of the gamma function.

$$\Gamma(z)\equiv\int_{0}^{\infty}t^{z-1}e^{-t}dt\quad(\mathfrak{R}[z]>0)$$

Functions

digamma

Calculate the digamma function $\Psi(z)$, which is defined as the derivative of the natural logarithm of the gamma function.

gamma

Calculate $\Gamma(z)$.

gamma_ln

Calculate $\ln{\Gamma(z)}$.

polygamma

Calculate the polygamma function $\Psi^{(n)}(z)$, which is defined as the n-th derivative of the digamma function.