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DLMF:10.21.E35 - MaRDI portal
Statements
Y
ν
′
(
y
ν
,
m
)
∼
(
-
1
)
m
-
1
(
2
/
ν
)
2
3
π
M
(
b
m
)
∑
k
=
0
∞
β
k
ν
2
k
/
3
,
asymptotic-expansion
diffop
Bessel-Y-Weber
𝜈
1
zero-Bessel-Y-Weber
𝜈
𝑚
superscript
1
𝑚
1
superscript
2
𝜈
2
3
𝜋
modulus-Airy-M
zero-Airy-Bi
𝑚
superscript
subscript
𝑘
0
subscript
𝛽
𝑘
superscript
𝜈
2
𝑘
3
{\displaystyle{\displaystyle Y_{\nu}'\left(y_{\nu,m}\right)\sim(-1)^{m-1}\frac%
{(2/\nu)^{\frac{2}{3}}}{\pi M\left(b_{m}\right)}\sum_{k=0}^{\infty}\frac{\beta%
_{k}}{\nu^{2k/3}},}}
Y
ν
(
z
)
Bessel-Y-Weber
𝜈
𝑧
{\displaystyle{\displaystyle Y_{\NVar{\nu}}\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
M
(
z
)
modulus-Airy-M
𝑧
{\displaystyle{\displaystyle M\left(\NVar{z}\right)}}
b
k
zero-Airy-Bi
𝑘
{\displaystyle{\displaystyle b_{\NVar{k}}}}
y
ν
,
m
zero-Bessel-Y-Weber
𝜈
𝑚
{\displaystyle{\displaystyle y_{\NVar{\nu},\NVar{m}}}}
m
𝑚
{\displaystyle{\displaystyle m}}
k
𝑘
{\displaystyle{\displaystyle k}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
Identifiers