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DLMF:9.2.E12
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Formula:3462
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MaRDI QID
Q3462
Label: DLMF:9.2.E12
Digital Library of Mathematical Functions ID
9.2.E12
Ai
(
z
)
+
e
-
2
π
i
/
3
Ai
(
z
e
-
2
π
i
/
3
)
+
e
2
π
i
/
3
Ai
(
z
e
2
π
i
/
3
)
=
0
,
Airy-Ai
𝑧
superscript
𝑒
2
𝜋
𝑖
3
Airy-Ai
𝑧
superscript
𝑒
2
𝜋
𝑖
3
superscript
𝑒
2
𝜋
𝑖
3
Airy-Ai
𝑧
superscript
𝑒
2
𝜋
𝑖
3
0
{\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)+e^{-2\pi i/3}\mathrm{Ai}% \left(ze^{-2\pi i/3}\right)+e^{2\pi i/3}\mathrm{Ai}\left(ze^{2\pi i/3}\right)=% 0,}}
Constraint(s)
Symbols List
Ai
(
z
)
Airy-Ai
𝑧
{\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}}
:
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
e
{\displaystyle{\displaystyle\mathrm{e}}}
: base of natural logarithm
i
imaginary-unit
{\displaystyle{\displaystyle\mathrm{i}}}
: imaginary unit
z
𝑧
{\displaystyle{\displaystyle z}}
: complex variable
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