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scipy.special.hankel1

scipy.special.hankel1(v, z) = <ufunc 'hankel1'>

Hankel function of the first kind

Parameters:

v : array_like

Order (float).

z : array_like

Argument (float or complex).

Returns:

out : Values of the Hankel function of the first kind.

See also

hankel1e
this function with leading exponential behavior stripped off.

Notes

A wrapper for the AMOS [R375] 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

[R375](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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