The story
Named after Scottish mathematician Colin Maclaurin (1698-1746), who made extensive use of the series.
Etymology from Wiktionary, CC BY-SA 4.0.
Maclaurin series
Today it means: 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. Full definition →