Loterre: Mathématiques: Airy function

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mathematical analysis > functional analysis > special function > hypergeometric function > Airy function

Airy function

In the physical sciences, the Airy function (or Airy function of the first kind) $Ai(x)$ is a special function named after the British astronomer George Biddell Airy (1801–1892). The function $Ai(x)$ and the related function $Bi(x)$ , are linearly independent solutions to the differential equation
${\\displaystyle {\ rac {d^{2}y}{dx^{2}}}-xy=0,}$
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).
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Airy_function)

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