mars.tensor.special.kve#

mars.tensor.special.kve(v, z, **kwargs)[source]#

Exponentially scaled modified Bessel function of the second kind.

Returns the exponentially scaled, modified Bessel function of the second kind (sometimes called the third kind) for real order v at complex z:

kve(v, z) = kv(v, z) * exp(z)
Parameters

  • v (array_like of float) – Order of Bessel functions

  • z (array_like of complex) – Argument at which to evaluate the Bessel functions

Returns

out – The exponentially scaled modified Bessel function of the second kind.

Return type

ndarray

Notes

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

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