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Statements
∫
0
∞
d
t
Ai
2
(
t
)
+
Bi
2
(
t
)
=
∫
0
∞
t
d
t
Ai
′
2
(
t
)
+
Bi
′
2
(
t
)
=
π
2
6
.
superscript
subscript
0
𝑡
Airy-Ai
2
𝑡
Airy-Bi
2
𝑡
superscript
subscript
0
𝑡
𝑡
diffop
Airy-Ai
1
2
𝑡
diffop
Airy-Bi
1
2
𝑡
superscript
𝜋
2
6
{\displaystyle{\displaystyle\int_{0}^{\infty}\frac{\mathrm{d}t}{{\mathrm{Ai}^{%
2}}\left(t\right)+{\mathrm{Bi}^{2}}\left(t\right)}=\int_{0}^{\infty}\frac{t%
\mathrm{d}t}{{\mathrm{Ai}'^{2}}\left(t\right)+{\mathrm{Bi}'^{2}}\left(t\right)%
}=\frac{\pi^{2}}{6}.}}
Ai
(
z
)
Airy-Ai
𝑧
{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
Bi
(
z
)
Airy-Bi
𝑧
{\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
d
x
𝑥
{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
∫
{\displaystyle{\displaystyle\int}}
M
(
z
)
modulus-Airy-M
𝑧
{\displaystyle{\displaystyle M\left(\NVar{z}\right)}}
N
(
z
)
modulus-Airy-N
𝑧
{\displaystyle{\displaystyle N\left(\NVar{z}\right)}}
ϕ
(
z
)
phase-Airy-Phi
𝑧
{\displaystyle{\displaystyle\phi\left(\NVar{z}\right)}}
θ
(
z
)
phase-Airy-Theta
𝑧
{\displaystyle{\displaystyle\theta\left(\NVar{z}\right)}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
