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Statements
Y
ν
(
ν
z
)
∼
-
(
4
ζ
1
-
z
2
)
1
4
(
Bi
(
ν
2
3
ζ
)
ν
1
3
∑
k
=
0
∞
A
k
(
ζ
)
ν
2
k
+
Bi
′
(
ν
2
3
ζ
)
ν
5
3
∑
k
=
0
∞
B
k
(
ζ
)
ν
2
k
)
,
asymptotic-expansion
Bessel-Y-Weber
𝜈
𝜈
𝑧
superscript
4
𝜁
1
superscript
𝑧
2
1
4
Airy-Bi
superscript
𝜈
2
3
𝜁
superscript
𝜈
1
3
superscript
subscript
𝑘
0
subscript
𝐴
𝑘
𝜁
superscript
𝜈
2
𝑘
diffop
Airy-Bi
1
superscript
𝜈
2
3
𝜁
superscript
𝜈
5
3
superscript
subscript
𝑘
0
subscript
𝐵
𝑘
𝜁
superscript
𝜈
2
𝑘
{\displaystyle{\displaystyle Y_{\nu}\left(\nu z\right)\sim-\left(\frac{4\zeta}%
{1-z^{2}}\right)^{\frac{1}{4}}\left(\frac{\mathrm{Bi}\left(\nu^{\frac{2}{3}}%
\zeta\right)}{\nu^{\frac{1}{3}}}\sum_{k=0}^{\infty}\frac{A_{k}(\zeta)}{\nu^{2k%
}}+\frac{\mathrm{Bi}'\left(\nu^{\frac{2}{3}}\zeta\right)}{\nu^{\frac{5}{3}}}%
\sum_{k=0}^{\infty}\frac{B_{k}(\zeta)}{\nu^{2k}}\right),}}
Bi
(
z
)
Airy-Bi
𝑧
{\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
k
𝑘
{\displaystyle{\displaystyle k}}
z
𝑧
{\displaystyle{\displaystyle z}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
ζ
(
z
)
𝜁
𝑧
{\displaystyle{\displaystyle\zeta(z)}}
A
k
(
ζ
)
subscript
𝐴
𝑘
𝜁
{\displaystyle{\displaystyle A_{k}(\zeta)}}
B
k
(
ζ
)
subscript
𝐵
𝑘
𝜁
{\displaystyle{\displaystyle B_{k}(\zeta)}}
Identifiers
