Meta-expansion of transseries
The asymptotic behavior of many univariate functions can only expressed in generalized asymptotic scales, which are not merely formed of powers of a single variable. The computation of asymptotic expansions of functions in such generalized scales may lead to infinite cancellations, which complicate the design and implementation of practical algorithms. The author introduces a new heuristic technique of meta-expansions, which is both simple and efficient in practice, even though the answers are not guaranteed to be correct in general.
scientific article; zbMATH DE number 5862844
scientific article