in terms of parabolic cylinder functions
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1—10 of 28 matching pages
1: 12.16 Mathematical Applications
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2: 18.24 Hahn Class: Asymptotic Approximations
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►This expansion is in terms of the parabolic cylinder function and its derivative.
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►Both expansions are in terms of parabolic cylinder functions.
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►This expansion is uniformly valid in any compact -interval on the real line and is in terms of parabolic cylinder functions.
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3: Bibliography O
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Whittaker functions with both parameters large: Uniform approximations in terms of parabolic cylinder functions.
Proc. Roy. Soc. Edinburgh Sect. A 86 (3-4), pp. 213–234.
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4: Bibliography L
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Integral representation of the Hankel function in terms of parabolic cylinder functions.
Quart. J. Mech. Appl. Math. 23 (3), pp. 315–327.
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5: 32.10 Special Function Solutions
6: 12.10 Uniform Asymptotic Expansions for Large Parameter
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§12.10(ii) Negative ,
… ►§12.10(vi) Modifications of Expansions in Elementary Functions
… ►§12.10(vii) Negative , . Expansions in Terms of Airy Functions
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… ►7: Bibliography C
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Expansions in terms of parabolic cylinder functions.
Proc. Edinburgh Math. Soc. (2) 8, pp. 50–65.
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8: 12.14 The Function
9: 2.8 Differential Equations with a Parameter
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►For further examples of uniform asymptotic approximations in terms of parabolic cylinder functions see §§13.20(iii), 13.20(iv), 14.15(v), 15.12(iii), 18.24.
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