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

A polar point of indetermination is a point about which the function can be expressed as a quotient of two converging power series, both of which vanish at the point.

From Project Gutenberg

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 Project Gutenberg

As regards power series we have the following theorems: 1.

From Project Gutenberg

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

From Project Gutenberg

This function is analytic in the domain, and the power series representing it is the Taylor’s series for the function.

From Project Gutenberg