Power series

id: power-series-297-665868
title: Power series
text: In mathematics, a power series is an infinite series of the form 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 such cases, the power series takes the sim
brand slug: wiki
category slug: encyclopedia
description: Infinite sum of monomials
original url: https://en.wikipedia.org/wiki/Power_series
date created:
date modified: 2024-03-18T20:17:02Z
main entity: {"identifier":"Q206925","url":"https://www.wikidata.org/entity/Q206925"}
image:
fields total: 13
integrity: 14

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