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Statements
𝐄
ν
(
z
)
∼
-
Y
ν
(
z
)
-
1
+
cos
(
π
ν
)
π
z
∑
k
=
0
∞
F
k
(
ν
)
z
2
k
-
ν
(
1
-
cos
(
π
ν
)
)
π
z
2
∑
k
=
0
∞
G
k
(
ν
)
z
2
k
,
asymptotic-expansion
Weber-E
𝜈
𝑧
Bessel-Y-Weber
𝜈
𝑧
1
𝜋
𝜈
𝜋
𝑧
superscript
subscript
𝑘
0
subscript
𝐹
𝑘
𝜈
superscript
𝑧
2
𝑘
𝜈
1
𝜋
𝜈
𝜋
superscript
𝑧
2
superscript
subscript
𝑘
0
subscript
𝐺
𝑘
𝜈
superscript
𝑧
2
𝑘
{\displaystyle{\displaystyle\mathbf{E}_{\nu}\left(z\right)\sim-Y_{\nu}\left(z%
\right)-\frac{1+\cos\left(\pi\nu\right)}{\pi z}\sum_{k=0}^{\infty}\frac{F_{k}(%
\nu)}{z^{2k}}-\frac{\nu(1-\cos\left(\pi\nu\right))}{\pi z^{2}}\sum_{k=0}^{%
\infty}\frac{G_{k}(\nu)}{z^{2k}},}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
𝐄
ν
(
z
)
Weber-E
𝜈
𝑧
{\displaystyle{\displaystyle\mathbf{E}_{\NVar{\nu}}\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
k
𝑘
{\displaystyle{\displaystyle k}}
F
k
(
ν
)
subscript
𝐹
𝑘
𝜈
{\displaystyle{\displaystyle F_{k}(\nu)}}
G
k
(
ν
)
subscript
𝐺
𝑘
𝜈
{\displaystyle{\displaystyle G_{k}(\nu)}}
Identifiers
