asymptotic expansion
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asymptotic expansion [ā‚sim′täd·ik ik′span·shən]

(mathematics)

A series of the forma₀+ (a₁/x) + (a₂/x²) + · · · + (a_n/x_n) + · · · is an asymptotic expansion of the functionf(x) if there exists a numberNsuch that for alln≠Nthe quantityx_n[f(x) -S_n(x)] approaches zero asxapproaches infinity, whereS_n(x) is the sum of the firstnterms in the series. Also known as asymptotic series.

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asymptotic expansion (redirected from Poincare expansion)

asymptotic expansion
(redirected from Poincare expansion)