Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions
Classical Analysis and ODEs
2013-10-04 v1
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.
Keywords
Cite
@article{arxiv.math/0103184,
title = {Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions},
author = {Raimundas Vidunas and Nico M. Temme},
journal= {arXiv preprint arXiv:math/0103184},
year = {2013}
}
Comments
14 pages; with Maple routines