polygamma — SciPy v1.15.2 Manual (original) (raw)

scipy.special.

scipy.special.polygamma(n, x)[source]#

Polygamma functions.

Defined as \(\psi^{(n)}(x)\) where \(\psi\) is thedigamma function. See [dlmf] for details.

Parameters:

narray_like

The order of the derivative of the digamma function; must be integral

xarray_like

Real valued input

Returns:

ndarray

Function results

References

Examples

from scipy import special x = [2, 3, 25.5] special.polygamma(1, x) array([ 0.64493407, 0.39493407, 0.03999467]) special.polygamma(0, x) == special.psi(x) array([ True, True, True], dtype=bool)