Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions
نویسندگان
چکیده
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. 1991 Mathematics Subject Classification: 41A60, 33C10, 33C15, 33F05, 65D20.
منابع مشابه
Modelling, Analysis and Simulation Symbolic evaluation of coefficients in Airy-type asymptotic expansions
Computer algebra algorithms are developed for evaluating the oeÆ ients in Airy-type asymptoti expansions that are obtained from integrals with a large parameter. The oeÆ ients are de ned from re ursive s hemes obtained from integration by parts. An appli ation is given for the Weber paraboli ylinder fun tion. 2000 Mathemati s Subje t Classi ation: 41A60, 33C10, 33C15, 33F05, 65D20.
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