in terms of Airy functions
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11—20 of 52 matching pages
11: 32.10 Special Function Solutions
12: 33.20 Expansions for Small
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►These expansions are in terms of elementary functions, Airy functions, and Bessel functions of orders and .
13: 12.14 The Function
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Airy-type Uniform Expansions
…14: 30.9 Asymptotic Approximations and Expansions
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►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).
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►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).
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15: 18.34 Bessel Polynomials
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►For uniform asymptotic expansions of as
in terms of Airy functions (§9.2) see Wong and Zhang (1997) and Dunster (2001c).
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16: 13.20 Uniform Asymptotic Approximations for Large
17: 9.6 Relations to Other Functions
18: 13.21 Uniform Asymptotic Approximations for Large
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►For a uniform asymptotic expansion in terms of Airy functions for when is large and positive, is real with bounded, and see Olver (1997b, Chapter 11, Ex. 7.3).
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19: 18.35 Pollaczek Polynomials
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►This expansion is in terms of the Airy function
and its derivative (§9.2), and is uniform in any compact -interval in
.
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