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- Airy_function abstract "In the physical sciences, the Airy function Ai(x) is a special function named after the British astronomer George Biddell Airy (1801–92). The function Ai(x) and the related function Bi(x), which is also called the Airy function, but sometimes referred to as the Bairy function, are solutions to the differential equation known as the Airy equation or the Stokes equation. This is the simplest second-order linear differential equation with a turning point (a point where the character of the solutions changes from oscillatory to exponential).The Airy function is the solution to Schrödinger's equation for a particle confined within a triangular potential well and for a particle in a one-dimensional constant force field. For the same reason, it also serves to provide uniform semiclassical approximations near a turning point in the WKB method, when the potential may be locally approximated by a linear function of position. The triangular potential well solution is directly relevant for the understanding of many semiconductor devices. The Airy function also underlies the form of the intensity near an optical directional caustic, such as that of the rainbow. Historically, this was the mathematical problem that led Airy to develop this special function. The Airy function is also important in microscopy and astronomy; it describes the pattern, due to diffraction and interference, produced by a point source of light (one which is smaller than the resolution limit of a microscope or telescope).".
- Airy_function thumbnail Airy_Functions.svg?width=300.
- Airy_function wikiPageExternalLink pg=289.
- Airy_function wikiPageExternalLink AiryAi.
- Airy_function wikiPageExternalLink AiryBi.
- Airy_function wikiPageExternalLink p345.html.
- Airy_function wikiPageID "406896".
- Airy_function wikiPageRevisionID "602162870".
- Airy_function first "F. W. J.".
- Airy_function hasPhotoCollection Airy_function.
- Airy_function id "9".
- Airy_function id "p/a011210".
- Airy_function last "Olver".
- Airy_function title "Airy Functions".
- Airy_function title "Airy and related functions".
- Airy_function title "Airy functions".
- Airy_function urlname "AiryFunctions".
- Airy_function subject Category:Ordinary_differential_equations.
- Airy_function subject Category:Special_functions.
- Airy_function subject Category:Special_hypergeometric_functions.
- Airy_function type Abstraction100002137.
- Airy_function type Communication100033020.
- Airy_function type DifferentialEquation106670521.
- Airy_function type Equation106669864.
- Airy_function type Function113783816.
- Airy_function type MathematicalRelation113783581.
- Airy_function type MathematicalStatement106732169.
- Airy_function type Message106598915.
- Airy_function type OrdinaryDifferentialEquations.
- Airy_function type Relation100031921.
- Airy_function type SpecialFunctions.
- Airy_function type SpecialHypergeometricFunctions.
- Airy_function type Statement106722453.
- Airy_function comment "In the physical sciences, the Airy function Ai(x) is a special function named after the British astronomer George Biddell Airy (1801–92). The function Ai(x) and the related function Bi(x), which is also called the Airy function, but sometimes referred to as the Bairy function, are solutions to the differential equation known as the Airy equation or the Stokes equation.".
- Airy_function label "Airy function".
- Airy_function label "Airy-Funktion".
- Airy_function label "Fonction d'Airy".
- Airy_function label "Función de Airy".
- Airy_function label "Funzioni di Airy".
- Airy_function label "Функция Эйри".
- Airy_function label "エアリー関数".
- Airy_function label "艾里函数".
- Airy_function sameAs Airy-Funktion.
- Airy_function sameAs Función_de_Airy.
- Airy_function sameAs Fonction_d'Airy.
- Airy_function sameAs Funzioni_di_Airy.
- Airy_function sameAs エアリー関数.
- Airy_function sameAs 에어리_함수.
- Airy_function sameAs m.024jz8.
- Airy_function sameAs Q409415.
- Airy_function sameAs Q409415.
- Airy_function sameAs Airy_function.
- Airy_function wasDerivedFrom Airy_function?oldid=602162870.
- Airy_function depiction Airy_Functions.svg.
- Airy_function isPrimaryTopicOf Airy_function.
