maxframe.tensor.special.poch#

maxframe.tensor.special.poch(a, b, **kwargs)[source]#

Pochhammer symbol.

The Pochhammer symbol (rising factorial) is defined as

\[(z)_m = \frac{\Gamma(z + m)}{\Gamma(z)}\]

For positive integer m it reads

\[(z)_m = z (z + 1) ... (z + m - 1)\]

See [DLMF] for more details.

Parameters:
  • z (array_like) – Real-valued arguments.

  • m (array_like) – Real-valued arguments.

  • out (ndarray, optional) – Optional output array for the function results

Returns:

The value of the function.

Return type:

scalar or ndarray

References

[DLMF]

Nist, Digital Library of Mathematical Functions https://dlmf.nist.gov/5.2#iii