Airy function asymptotics in the Digital Library of Mathematical Functions (source code)

= Airy function asymptotics in the Digital Library of Mathematical Functions
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https://dlmf.nist.gov/9.7[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>.