scipy.special.hankel2e#

scipy.special.hankel2e(v, z, out=None) = <ufunc 'hankel2e'>#

Exponentially scaled Hankel function of the second kind

Defined as:

hankel2e(v, z) = hankel2(v, z) * exp(1j * z)
Parameters:
varray_like

Order (float).

zarray_like

Argument (float or complex).

outndarray, optional

Optional output array for the function values

Returns:
scalar or ndarray

Values of the exponentially scaled Hankel function of the second kind.

Notes

A wrapper for the AMOS [1] routine zbesh, which carries out the computation using the relation,

Hv(2)(z)=2ıπexp(ıπv2)Kv(zexp(ıπ2))

where Kv is the modified Bessel function of the second kind. For negative orders, the relation

Hv(2)(z)=Hv(2)(z)exp(ıπv)

is used.

References

[1]

Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/