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Statements
J
ν
(
j
ν
,
m
′
)
∼
(
-
1
)
m
-
1
(
2
/
ν
)
1
3
π
N
(
a
m
′
)
∑
k
=
0
∞
β
k
′
ν
2
k
/
3
,
asymptotic-expansion
Bessel-J
𝜈
diffop
zero-Bessel-J
𝜈
𝑚
1
superscript
1
𝑚
1
superscript
2
𝜈
1
3
𝜋
modulus-Airy-N
zero-derivative-Airy-Ai
𝑚
superscript
subscript
𝑘
0
subscript
superscript
𝛽
′
𝑘
superscript
𝜈
2
𝑘
3
{\displaystyle{\displaystyle J_{\nu}\left(j_{\nu,m}'\right)\sim(-1)^{m-1}\frac%
{(2/\nu)^{\frac{1}{3}}}{\pi N\left(a^{\prime}_{m}\right)}\sum_{k=0}^{\infty}%
\frac{\beta^{\prime}_{k}}{\nu^{2k/3}},}}
J
ν
(
z
)
Bessel-J
𝜈
𝑧
{\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
N
(
z
)
modulus-Airy-N
𝑧
{\displaystyle{\displaystyle N\left(\NVar{z}\right)}}
j
ν
,
m
zero-Bessel-J
𝜈
𝑚
{\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}}
a
k
′
zero-derivative-Airy-Ai
𝑘
{\displaystyle{\displaystyle a^{\prime}_{\NVar{k}}}}
m
𝑚
{\displaystyle{\displaystyle m}}
k
𝑘
{\displaystyle{\displaystyle k}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
β
𝛽
{\displaystyle{\displaystyle\beta}}
Identifiers
