Airy function Ai (Q109729241)

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No description defined

• Airy function of the first kind

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Language	Label	Description	Also known as
English	Airy function Ai	No description defined	Airy function of the first kind

Statements

instance of

Airy function

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image

Plot of the Airy function Ai(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg
1,339 × 1,246; 2.05 MB

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named after

George Biddell Airy

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defining formula

${\displaystyle {\begin{array}{lcl}\mathrm {Ai} (z)&=&{\frac {1}{3}}{\sqrt {z}}\left(\mathrm {I} _{-{\frac {1}{3}}}(w)-\mathrm {I} _{\frac {1}{3}}(w)\right)\\w&=&{\frac {2}{3}}z^{\frac {3}{2}}\end{array}}}$

1 reference

stated in

ISO 80000-2:2019 Quantities and units — Part 2: Mathematics

section, verse, paragraph, or clause

2-20.30

in defining formula

${\displaystyle \mathrm {Ai} (z)}$

symbol represents

Airy function Ai

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${\displaystyle \mathrm {I} _{\nu }(z)}$

symbol represents

modified Bessel function of the first kind

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

MathWorld ID

AiryAi

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Sitelinks

Wikipedia(1 entry)

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• enwiki Airy function of the first kind

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