2001
Symbolic evaluation of coefficients in Airy-type asymptotic expansions
Publication
Publication
Computer algebra algorithms are developed for evaluating the coefficientsin Airy-type asymptotic expansions that are obtained fromintegrals with a large parameter. The coefficients are defined from recursiveschemes obtained from integration by parts. An application is given forthe Weber parabolic cylinder function.
| Additional Metadata | |
|---|---|
| Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (msc 41A60), Bessel and Airy functions, cylinder functions, ${}_0F_1$ (msc 33C10), Confluent hypergeometric functions, Whittaker functions, ${}_1F_1$ (msc 33C15), Numerical approximation and evaluation (msc 33F05), Computation of special functions, construction of tables (msc 65D20) | |
| CWI | |
| Modelling, Analysis and Simulation [MAS] | |
| Organisation | Computational Dynamics |
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Vidunas, R, & Temme, N.M. (2001). Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Modelling, Analysis and Simulation [MAS]. CWI.
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