Mathematical functions

(See page 1091.) BesselJ[0, x] goes like Sin[x]/√x for large x while AiryAi[-x] goes like Sin[x^3/2]/x^1/4. Other standard mathematical functions that oscillate at large x include JacobiSN and MathieuC. Most hypergeometric-type functions either increase or decrease exponentially for large arguments, though in the directions of Stokes lines in the complex plane they can oscillate sinusoidally. (For AiryAi[x] the Stokes lines are in directions (-1)^({1, 2, 3}/3).)