Symbolic evaluation of coefficients in Airy-type asymptotic expansions |
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| Authors: | Raimundas Vidunas Nico M. Temme |
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| Affiliation: | a Korteweg de Vries Instituut voor Wiskunde, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
b CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands |
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| Abstract: | Computer algebra algorithms are developed for evaluating the coefficients in Airy-type asymptotic expansions that are obtained from integrals with a large parameter. The coefficients are defined from recursive schemes obtained from integration by parts. An application is given for the Weber parabolic cylinder function. |
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| Keywords: | Airy-type asymptotic expansions Maple algorithms Parabolic cylinder functions |
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