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Statements
sin
(
ν
π
)
H
ν
(
1
)
(
z
e
m
π
i
)
=
-
sin
(
(
m
-
1
)
ν
π
)
H
ν
(
1
)
(
z
)
-
e
-
ν
π
i
sin
(
m
ν
π
)
H
ν
(
2
)
(
z
)
,
𝜈
𝜋
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
superscript
𝑒
𝑚
𝜋
𝑖
𝑚
1
𝜈
𝜋
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
superscript
𝑒
𝜈
𝜋
𝑖
𝑚
𝜈
𝜋
Hankel-H-2-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle\sin\left(\nu\pi\right){H^{(1)}_{\nu}}\left(ze^{m%
\pi i}\right)=-\sin\left((m-1)\nu\pi\right){H^{(1)}_{\nu}}\left(z\right)-e^{-%
\nu\pi i}\sin\left(m\nu\pi\right){H^{(2)}_{\nu}}\left(z\right),}}
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)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
m
𝑚
{\displaystyle{\displaystyle m}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
