Airy function
In mathematics, the Airy function (or Airy function of the first kind) A i ( x ) {\displaystyle \mathbf {Ai({\boldsymbol {x}})} } is a special function named after the British astronomer George Biddell Airy. The function Ai ( x ) {\displaystyle \operatorname {Ai} (x)} and the related function B i ( x ) {\displaystyle \mathbf {Bi({\boldsymbol {x}})} } are linearly independent solutions to the differential equation d 2 y d x 2 − x y = 0 , {\displaystyle {\frac {d^{2}y}{dx^{2}}}-xy=0,} known as the Airy equation or the Stokes equation.