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in terms of Airy functions

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11: 32.10 Special Function Solutions
P II  has solutions expressible in terms of Airy functions9.2) iff …
12: 33.20 Expansions for Small | ϵ |
These expansions are in terms of elementary functions, Airy functions, and Bessel functions of orders 2 + 1 and 2 + 2 .
13: 12.14 The Function W ( a , x )
Airy-type Uniform Expansions
14: 30.9 Asymptotic Approximations and Expansions
For uniform asymptotic expansions in terms of Airy or Bessel functions for real values of the parameters, complex values of the variable, and with explicit error bounds see Dunster (1986). … For uniform asymptotic expansions in terms of elementary, Airy, or Bessel functions for real values of the parameters, complex values of the variable, and with explicit error bounds see Dunster (1992, 1995). …
15: 18.34 Bessel Polynomials
For uniform asymptotic expansions of y n ( x ; a ) as n in terms of Airy functions9.2) see Wong and Zhang (1997) and Dunster (2001c). …
16: 13.20 Uniform Asymptotic Approximations for Large μ
These approximations are in terms of Airy functions. …
17: 9.6 Relations to Other Functions
To express Airy functions in terms of hypergeometric functions combine §9.6(i) with (10.39.9).
18: 13.21 Uniform Asymptotic Approximations for Large κ
For a uniform asymptotic expansion in terms of Airy functions for W κ , μ ( 4 κ x ) when κ is large and positive, μ is real with | μ | bounded, and x [ δ , ) see Olver (1997b, Chapter 11, Ex. 7.3). …
19: 18.35 Pollaczek Polynomials
This expansion is in terms of the Airy function Ai ( x ) and its derivative (§9.2), and is uniform in any compact θ -interval in ( 0 , ) . …
20: 9.16 Physical Applications
In the case of the rainbow, the scattering amplitude is expressed in terms of Ai ( x ) , the analysis being similar to that given originally by Airy (1838) for the corresponding problem in optics. …