scipy.special.kve¶

scipy.special.kve(v, z) = <ufunc 'kve'>

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

Notes

Wrapper for AMOS [R415] routine zbesk. For a discussion of the algorithm used, see [R416] and the references therein.

References

 [R415] (1, 2) Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/
 [R416] (1, 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

scipy.special.kv

scipy.special.iv