Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions
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coefficientsairy-typeasymptoticexpansionsobtainedalgebraalgorithmsapplication
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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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