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

In the preceding section on power series and functions we showed how to represent certain functions using power series.

From Textbooks • Mar. 30, 2016

In the next example, we show how to use Combining Power Series and the power series for a function f to construct power series for functions related to f.

From Textbooks • Mar. 30, 2016

We show how power series can be used to evaluate integrals involving functions whose antiderivatives cannot be expressed using elementary functions.

From Textbooks • Mar. 30, 2016

A method was given by J. H. Lambert for expressing as a continued fraction of the preceding type the quotient of two convergent power series.

From Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2 "Constantine Pavlovich" to "Convention" by Various