Processing math: 100%
SciPy

This is documentation for an old release of SciPy (version 0.18.1). Read this page in the documentation of the latest stable release (version 1.15.1).

scipy.special.hankel1e

scipy.special.hankel1e(v, z) = <ufunc 'hankel1e'>

Exponentially scaled Hankel function of the first kind

Defined as:

hankel1e(v, z) = hankel1(v, z) * exp(-1j * z)
Parameters:

v : array_like

Order (float).

z : array_like

Argument (float or complex).

Returns:

out : Values of the exponentially scaled Hankel function.

Notes

A wrapper for the AMOS [R376] routine zbesh, which carries out the computation using the relation,

H(1)v(z)=2ıπexp(ıπv/2)Kv(zexp(ıπ/2))

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

H(1)v(z)=H(1)v(z)exp(ıπv)

is used.

References

[R376](1, 2) Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/

Previous topic

scipy.special.hankel1

Next topic

scipy.special.hankel2