Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions

Details Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions

2001-03-27

arxiv.org/abs/math/0103184v1

J. Math. Analysis and Appl., 269(2002), pp 317-331

Mathematics

Classical Analysis and ODEs

14 pages; with Maple routines

Scientific paper

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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