maxframe.tensor.special.kn#

maxframe.tensor.special.kn(n, x, **kwargs)[source]#

Modified Bessel function of the second kind of integer order n

Returns the modified Bessel function of the second kind for integer order n at real z.

These are also sometimes called functions of the third kind, Basset functions, or Macdonald functions.

Parameters:
  • n (array_like of int) – Order of Bessel functions (floats will truncate with a warning)

  • x (array_like of float) – Argument at which to evaluate the Bessel functions

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

Returns:

Value of the Modified Bessel function of the second kind, \(K_n(x)\).

Return type:

scalar or ndarray

See also

kv

Same function, but accepts real order and complex argument

kvp

Derivative of this function

Notes

Wrapper for AMOS [1] routine zbesk. For a discussion of the algorithm used, see [2] and the references therein.

References