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Concept information

mathematical analysis > complex analysis > asymptotic expansion
mathematical physics > asymptotic expansion
mathematical analysis > real analysis > asymptotic expansion

Preferred term

asymptotic expansion  

Definition

  • In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point. Investigations by Dingle (1973) revealed that the divergent part of an asymptotic expansion is latently meaningful, i.e. contains information about the exact value of the expanded function.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Asymptotic_expansion)

Entry terms

  • asymptotic series
  • Poincaré expansion

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URI

http://data.loterre.fr/ark:/67375/PSR-RHCS7KGF-C

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