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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.hankel2e

scipy.special.hankel2e(v, z) = <ufunc 'hankel2e'>

Exponentially scaled Hankel function of the second kind

Defined as:

hankel2e(v, z) = hankel2(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 of the second kind.

Notes

A wrapper for the AMOS [R378] routine zbesh, which carries out the computation using the relation,

H(2)v(z)=2ıπexp(ıπv2)Kv(zexp(ıπ2))

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

H(2)v(z)=H(2)v(z)exp(ıπv)

is used.

References

[R378](1, 2) Donald E. Amos, “AMOS, A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order”, http://netlib.org/amos/

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