Factorials and gamma functions
------------------------------

.. contents::

Factorials (:func:`factorial`/:func:`fac`)
..........................................

.. autofunction:: mpmath.functions.factorial

Gamma function (:func:`gamma`, :func:`gammaprod`)
.................................................

.. autofunction:: mpmath.functions.gamma
.. autofunction:: mpmath.functions.gammaprod

Binomial coefficients, rising and falling factorials (:func:`binomial`, :func:`rf`, :func:`ff`)
...............................................................................................

.. autofunction:: mpmath.functions.binomial
.. autofunction:: mpmath.functions.rf
.. autofunction:: mpmath.functions.ff

Beta function (:func:`beta`)
............................

.. autofunction:: mpmath.functions.beta

Double factorials (:func:`fac2`)
................................

.. autofunction:: mpmath.functions.fac2(x)

Super- and hyperfactorials (:func:`superfac`, :func:`hyperfac`, :func:`barnesg`)
................................................................................

.. autofunction:: mpmath.functions.superfac
.. autofunction:: mpmath.functions.hyperfac
.. autofunction:: mpmath.functions.barnesg

Polygamma functions (:func:`psi`, :func:`digamma`, :func:`trigamma`, :func:`harmonic`)
......................................................................................

.. autofunction:: mpmath.functions.psi
.. autofunction:: mpmath.functions.digamma
.. autofunction:: mpmath.functions.trigamma
.. autofunction:: mpmath.functions.harmonic
