jax.scipy.special.multigammaln

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jax.scipy.special.multigammaln#

jax.scipy.special.multigammaln(a, d)[source]#

The natural log of the multivariate gamma function.

JAX implementation of scipy.special.multigammaln().

\[\mathrm{multigammaln}(a, d) = \log\Gamma_d(a)\]

where

\[\Gamma_d(a) = \pi^{d(d-1)/4}\prod_{i=1}^d\Gamma(a-(i-1)/2)\]

and \(\Gamma(x)\) is the gamma() function.

Parameters:
  • a (jax.typing.ArrayLike) – arraylike, real-valued.

  • d (jax.typing.ArrayLike) – int, the dimension of the integration space.

Returns:

array containing values of the log-multigamma function.

Return type:

Array