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Statements
θ
ν
(
x
)
∼
x
-
(
1
2
ν
+
1
4
)
π
+
μ
-
1
2
(
4
x
)
+
(
μ
-
1
)
(
μ
-
25
)
6
(
4
x
)
3
+
(
μ
-
1
)
(
μ
2
-
114
μ
+
1073
)
5
(
4
x
)
5
+
(
μ
-
1
)
(
5
μ
3
-
1535
μ
2
+
54703
μ
-
3 75733
)
14
(
4
x
)
7
+
⋯
.
asymptotic-expansion
phase-Bessel-Theta
𝜈
𝑥
𝑥
1
2
𝜈
1
4
𝜋
𝜇
1
2
4
𝑥
𝜇
1
𝜇
25
6
superscript
4
𝑥
3
𝜇
1
superscript
𝜇
2
114
𝜇
1073
5
superscript
4
𝑥
5
𝜇
1
5
superscript
𝜇
3
1535
superscript
𝜇
2
54703
𝜇
3 75733
14
superscript
4
𝑥
7
⋯
{\displaystyle{\displaystyle\theta_{\nu}\left(x\right)\sim x-\left(\frac{1}{2}%
\nu+\frac{1}{4}\right)\pi+\frac{\mu-1}{2(4x)}+\frac{(\mu-1)(\mu-25)}{6(4x)^{3}%
}+\frac{(\mu-1)(\mu^{2}-114\mu+1073)}{5(4x)^{5}}+\frac{(\mu-1)(5\mu^{3}-1535%
\mu^{2}+54703\mu-3\;75733)}{14(4x)^{7}}+\cdots.}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
π
{\displaystyle{\displaystyle\pi}}
θ
ν
(
x
)
phase-Bessel-Theta
𝜈
𝑥
{\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
ν
𝜈
{\displaystyle{\displaystyle\nu}}
Identifiers
