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Statements
H
2
/
3
(
1
)
(
ζ
)
=
e
-
2
π
i
/
3
H
-
2
/
3
(
1
)
(
ζ
)
=
e
π
i
/
6
(
3
/
z
)
(
Ai
′
(
-
z
)
-
i
Bi
′
(
-
z
)
)
,
Hankel-H-1-Bessel-third-kind
2
3
𝜁
superscript
𝑒
2
𝜋
𝑖
3
Hankel-H-1-Bessel-third-kind
2
3
𝜁
superscript
𝑒
𝜋
𝑖
6
3
𝑧
diffop
Airy-Ai
1
𝑧
𝑖
diffop
Airy-Bi
1
𝑧
{\displaystyle{\displaystyle{H^{(1)}_{2/3}}\left(\zeta\right)=e^{-2\pi i/3}{H^%
{(1)}_{-2/3}}\left(\zeta\right)=e^{\pi i/6}(\sqrt{3}/z)\left(\mathrm{Ai}'\left%
(-z\right)-i\mathrm{Bi}'\left(-z\right)\right),}}
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)}}
H
ν
(
1
)
(
z
)
Hankel-H-1-Bessel-third-kind
𝜈
𝑧
{\displaystyle{\displaystyle{H^{(1)}_{\NVar{\nu}}}\left(\NVar{z}\right)}}
π
{\displaystyle{\displaystyle\pi}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
z
𝑧
{\displaystyle{\displaystyle z}}
ζ
(
z
)
𝜁
𝑧
{\displaystyle{\displaystyle\zeta(z)}}
Identifiers
