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Statements
H
ν
(
1
)
(
z
)
=
i
csc
(
ν
π
)
(
e
-
ν
π
i
J
ν
(
z
)
-
J
-
ν
(
z
)
)
=
csc
(
ν
π
)
(
Y
-
ν
(
z
)
-
e
-
ν
π
i
Y
ν
(
z
)
)
,
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
𝑖
𝜈
𝜋
superscript
𝑒
𝜈
𝜋
𝑖
Bessel-J
𝜈
𝑧
Bessel-J
𝜈
𝑧
𝜈
𝜋
Bessel-Y-Weber
𝜈
𝑧
superscript
𝑒
𝜈
𝜋
𝑖
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(1)}_{\nu}}\left(z\right)=i\csc\left(\nu\pi%
\right)\left(e^{-\nu\pi i}J_{\nu}\left(z\right)-J_{-\nu}\left(z\right)\right)=%
\csc\left(\nu\pi\right)\left(Y_{-\nu}\left(z\right)-e^{-\nu\pi i}Y_{\nu}\left(%
z\right)\right),}}
J
ν
(
z
)
Bessel-J
𝜈
𝑧
{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
H
ν
(
1
)
(
z
)
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
csc
z
𝑧
{\displaystyle{\displaystyle\csc\NVar{z}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
