Generic asymptotic expansions

Research output: Contribution to journalArticlepeer-review

Abstract

We give an expansion algorithm for germs of exp-log functions at infinity which is correct modulo Schanuel's conjecture. We also show how the algorithm can be made generic. More precisely, we reduce the expansion algorithm for exp-log functions depending on parameters to the problem of deciding whether a given system of exp-log equations and inequalities in several variables admits a solution.

Original languageEnglish
Pages (from-to)25-44
Number of pages20
JournalApplicable Algebra in Engineering, Communication and Computing
Volume9
Issue number1
DOIs
Publication statusPublished - 1 Jan 1998

Keywords

  • Algorithm
  • Asymptotic expansion
  • Exp-log function
  • Genericity

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