 Airy function asymptotics in the Digital Library of Mathematical Functions

Digital Library of Mathematical Functions, section 9.7 gives the Airy function asymptotic expansions. Equations 9.7.5 and 9.7.7 give the positive-argument exponential forms; equations 9.7.9 and 9.7.11 give the negative-argument oscillatory forms. Their leading terms determine the factor two and phase shift in the Airy turning-point connection formula.