`scipy.special._basic:polygamma`

source: /scipy/special/_basic.py :1539

Signature

def polygamma ( n , x )

Summary

Polygamma functions.

Extended Summary

Defined as $ψ^{(n)} (x)$ where $ψ$ is the digamma function. See [dlmf] for details.

Parameters

n : array_like: The order of the derivative of the digamma function; must be integral
x : array_like: Real valued input

Returns

: ndarray: Function results

Notes

Array API Standard Support

polygamma has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

====================  ====================  ====================
Library               CPU                   GPU
====================  ====================  ====================
NumPy                 ✅                     n/a                 
CuPy                  n/a                   ✅                   
PyTorch               ✅                     ✅                   
JAX                   ✅                     ✅                   
Dask                  ✅                     n/a                 
====================  ====================  ====================

See dev-arrayapi for more information.

Examples

from scipy import special
x = [2, 3, 25.5]

✓

special.polygamma(1, x)
special.polygamma(0, x) == special.psi(x)

✗

Aliases

scipy.special.polygamma