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Statements
Ai
(
z
)
=
1
2
π
-
1
/
2
z
-
1
/
4
W
0
,
1
/
3
(
2
ζ
)
=
3
-
1
/
6
π
-
1
/
2
ζ
2
/
3
e
-
ζ
U
(
5
6
,
5
3
,
2
ζ
)
,
Airy-Ai
𝑧
1
2
superscript
𝜋
1
2
superscript
𝑧
1
4
Whittaker-confluent-hypergeometric-W
0
1
3
2
𝜁
superscript
3
1
6
superscript
𝜋
1
2
superscript
𝜁
2
3
superscript
𝑒
𝜁
Kummer-confluent-hypergeometric-U
5
6
5
3
2
𝜁
{\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)=\tfrac{1}{2}\pi^{-1/2}z^%
{-1/4}W_{0,1/3}\left(2\zeta\right)=3^{-1/6}\pi^{-1/2}\zeta^{2/3}e^{-\zeta}U%
\left(\tfrac{5}{6},\tfrac{5}{3},2\zeta\right),}}
Ai
(
z
)
Airy-Ai
𝑧
{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
U
(
a
,
b
,
z
)
Kummer-confluent-hypergeometric-U
𝑎
𝑏
𝑧
{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
W
κ
,
μ
(
z
)
Whittaker-confluent-hypergeometric-W
𝜅
𝜇
𝑧
{\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ζ
𝜁
{\displaystyle{\displaystyle\zeta}}
Identifiers
