Power series
id:
power-series-232-1781944
title:
Power series
text:
In mathematics, a power series is an infinite series of the form ∑ n = 0 ∞ a n n = a 0 + a 1 + a 2 2 + … where an represents the coefficient of the nth term and c is a constant. Power series are useful in mathematical analysis, where they arise as Taylor series of infinitely differentiable functions. In fact, Borel's theorem implies that every power series is the Taylor series of some smooth function. In many situations, c is equal to zero, for instance when considering a Maclaurin series. In su
brand slug:
wiki
category slug:
encyclopedia
description:
Infinite sum of monomials
original url:
https://en.wikipedia.org/wiki/Power_series
date created:
2002-06-29T08:41:48Z
date modified:
2024-09-15T23:58:01Z
main entity:
{"identifier":"Q206925","url":"https://www.wikidata.org/entity/Q206925"}
image:
fields total:
13
integrity:
15