Note: This page has been translated by MathWorks. Click here to see

To view all translated materials including this page, select Country from the country navigator on the bottom of this page.

To view all translated materials including this page, select Country from the country navigator on the bottom of this page.

Bessel function of third kind (Hankel function)

`H = besselh(nu,K,Z)`

H = besselh(nu,Z)

H = besselh(nu,K,Z,1)

`H = besselh(nu,K,Z)`

computes
the Hankel function $${H}_{\nu}^{(K)}(z)$$ where `K`

=
1 or 2, for each element of the complex array `Z`

.
If `nu`

and `Z`

are arrays of the
same size, the result is also that size. If either input is a scalar, `besselh`

expands
it to the other input's size.

`H = besselh(nu,Z)`

uses `K`

=
1.

`H = besselh(nu,K,Z,1)`

scales $${H}_{\nu}{}^{(K)}(z)$$ by `exp(-i*Z)`

if `K`

=
1, and by `exp(+i*Z)`

if `K`

= 2.

[1] Abramowitz, M., and I.A. Stegun, *Handbook
of Mathematical Functions*, National Bureau of Standards,
Applied Math. Series #55, Dover Publications, 1965.