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Statements
j
ν
,
m
,
y
ν
,
m
∼
a
-
μ
-
1
8
a
-
4
(
μ
-
1
)
(
7
μ
-
31
)
3
(
8
a
)
3
-
32
(
μ
-
1
)
(
83
μ
2
-
982
μ
+
3779
)
15
(
8
a
)
5
-
64
(
μ
-
1
)
(
6949
μ
3
-
1 53855
μ
2
+
15 85743
μ
-
62 77237
)
105
(
8
a
)
7
-
⋯
,
asymptotic-expansion
zero-Bessel-J
𝜈
𝑚
zero-Bessel-Y-Weber
𝜈
𝑚
𝑎
𝜇
1
8
𝑎
4
𝜇
1
7
𝜇
31
3
superscript
8
𝑎
3
32
𝜇
1
83
superscript
𝜇
2
982
𝜇
3779
15
superscript
8
𝑎
5
64
𝜇
1
6949
superscript
𝜇
3
1 53855
superscript
𝜇
2
15 85743
𝜇
62 77237
105
superscript
8
𝑎
7
⋯
{\displaystyle{\displaystyle j_{\nu,m},y_{\nu,m}\sim a-\frac{\mu-1}{8a}-\frac{%
4(\mu-1)(7\mu-31)}{3(8a)^{3}}-\frac{32(\mu-1)(83\mu^{2}-982\mu+3779)}{15(8a)^{%
5}}-\frac{64(\mu-1)(6949\mu^{3}-1\;53855\mu^{2}+15\;85743\mu-62\;77237)}{105(8%
a)^{7}}-\cdots,}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
j
ν
,
m
zero-Bessel-J
𝜈
𝑚
{\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}}
y
ν
,
m
zero-Bessel-Y-Weber
𝜈
𝑚
{\displaystyle{\displaystyle y_{\NVar{\nu},\NVar{m}}}}
m
𝑚
{\displaystyle{\displaystyle m}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
