: Matemáticas: asymptotic expansion

mathematical analysis > complex analysis > asymptotic expansion

mathematical physics > asymptotic expansion

mathematical analysis > real analysis > asymptotic expansion

asymptotic expansion

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)

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