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Statements
𝒲
{
H
ν
(
1
)
(
z
)
,
H
ν
(
2
)
(
z
)
}
=
H
ν
+
1
(
1
)
(
z
)
H
ν
(
2
)
(
z
)
-
H
ν
(
1
)
(
z
)
H
ν
+
1
(
2
)
(
z
)
=
-
4
i
/
(
π
z
)
.
Wronskian
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
Hankel-H-2-Bessel-third-kind
𝜈
𝑧
Hankel-H-1-Bessel-third-kind
𝜈
1
𝑧
Hankel-H-2-Bessel-third-kind
𝜈
𝑧
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
Hankel-H-2-Bessel-third-kind
𝜈
1
𝑧
4
𝑖
𝜋
𝑧
{\displaystyle{\displaystyle\mathscr{W}\left\{{H^{(1)}_{\nu}}\left(z\right),{H%
^{(2)}_{\nu}}\left(z\right)\right\}={H^{(1)}_{\nu+1}}\left(z\right){H^{(2)}_{%
\nu}}\left(z\right)-{H^{(1)}_{\nu}}\left(z\right){H^{(2)}_{\nu+1}}\left(z%
\right)=-4i/(\pi z).}}
H
ν
(
1
)
(
z
)
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
H
ν
(
2
)
(
z
)
Hankel-H-2-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(2)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
𝒲
Wronskian
{\displaystyle{\displaystyle\mathscr{W}}}
π
{\displaystyle{\displaystyle\pi}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
