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Statements
Bi
(
x
)
=
3
x
5
/
4
e
(
2
/
3
)
x
3
/
2
2
π
⨍
0
∞
t
-
3
/
4
e
-
(
2
/
3
)
t
3
/
2
Ai
(
t
)
x
3
/
2
-
t
3
/
2
d
t
,
Airy-Bi
𝑥
3
superscript
𝑥
5
4
superscript
𝑒
2
3
superscript
𝑥
3
2
2
𝜋
superscript
subscript
principal-value-integral
0
superscript
𝑡
3
4
superscript
𝑒
2
3
superscript
𝑡
3
2
Airy-Ai
𝑡
superscript
𝑥
3
2
superscript
𝑡
3
2
𝑡
{\displaystyle{\displaystyle\mathrm{Bi}\left(x\right)=\frac{3x^{5/4}e^{(2/3)x^%
{3/2}}}{2\pi}\*\pvint_{0}^{\infty}\frac{t^{-3/4}e^{-(2/3)t^{3/2}}\mathrm{Ai}%
\left(t\right)}{x^{3/2}-t^{3/2}}\mathrm{d}t,}}
x
>
0
𝑥
0
{\displaystyle{\displaystyle x>0}}
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}}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
⨍
a
b
superscript
subscript
principal-value-integral
𝑎
𝑏
{\displaystyle{\displaystyle\pvint_{\NVar{a}}^{\NVar{b}}}}
x
𝑥
{\displaystyle{\displaystyle x}}
Identifiers
