mars.tensor.special.kn¶
- mars.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)
z (array_like of float) – Argument at which to evaluate the Bessel functions
- Returns
out – The results
- Return type
ndarray
Notes
Wrapper for AMOS 1 routine zbesk. For a discussion of the algorithm used, see 2 and the references therein.
See also
kv
Same function, but accepts real order and complex argument
kvp
Derivative of this function
References
- 1
Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/
- 2
Donald E. Amos, “Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order”, ACM TOMS Vol. 12 Issue 3, Sept. 1986, p. 265