power series

American  

noun

Mathematics.

1. an infinite series in which the terms are coefficients times successive powers of a given variable, or times products of powers of two or more variables.

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power series British  

noun

1. a mathematical series whose terms contain ascending positive integral powers of a variable, such as a 0 + a 1 x + a 2 x ² +…

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power series Scientific  

1. A sum of successively higher integral powers of a variable or combination of variables, each multiplied by a constant coefficient.

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Etymology

Origin of power series

First recorded in 1890–95

Example Sentences

Therefore, if a function f has a power series at a, then it must be the Taylor series for f at a.

From Textbooks • Mar. 30, 2016

Second, we show how power series can be used to evaluate integrals when the antiderivative of the integrand cannot be expressed in terms of elementary functions.

From Textbooks • Mar. 30, 2016

In the previous two sections we discussed how to find power series representations for certain types of functions––specifically, functions related to geometric series.

From Textbooks • Mar. 30, 2016

Being able to multiply two power series provides another way of finding power series representations for functions.

From Textbooks • Mar. 30, 2016

The theory of power series has been developed chiefly from the point of view of the theory of functions of complex variables.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" by Various