logbeta

mpsci.fun.logbeta(x, y)

Natural logarithm of $B(x, y)$.

The beta function is

$$B(x, y) = \frac{\Gamma(x)\Gamma(y)}{\Gamma(x + y)}$$

where $\Gamma(z)$ is the Gamma function.

Examples

>>> from mpmath import mp
>>> from mpsci.distributions import logbeta

>>> mp.dps = 25

>>> logbeta(mp.pi, 1.25)
mpf('-1.575224779107371741939220563')

>>> mp.log(mp.beta(mp.pi, 1.25))
mpf('-1.575224779107371741939220592')