Maclaurin series

名词 n.
中文释义

英文释义

名词 n.
  1. Any Taylor series that is centred at 0 (i.e., for which the origin is the reference point used to derive the series from its associated function); for a given infinitely differentiable complex function f, the power series f(0)+(f'(0))/(1!)x+(f(0))/(2!)x²+(f'(0))/(3!)x³+⋯=∑ₙ₌₀ ᪲(f⁽ⁿ⁾(0))/(n!),xⁿ.
    — Analytically there are, of course, two Jacobi series branching off the Maclaurin series, but they are geometrically and physically identical, and involve only an interchange of a and b.

词形变化

Maclaurin series plural

词源

Named after Scottish mathematician Colin Maclaurin (1698-1746), who made extensive use of the series.
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