Symbolic Evaluation of Coefficients in Airy-type Asymptotic Expansions

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.

14 pages; with Maple routines

Cited by in corpus (4)

• Large Degree Asymptotics of Generalized Bernoulli and Euler Polynomials
• Large Degree Asymptotics of Generalized Bessel Polynomials
• Computation of the coefficients appearing in the uniform asymptotic expansions of integrals
• Multi-point Taylor Expansions of Analytic Functions