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

At this point, however, we are still limited as to the functions for which we can find power series representations.

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

In Example 6.6 we show how to do the opposite: given a power series, determine which function it represents.

From Textbooks • Mar. 30, 2016

The multiplier of e−tx under the sign of integration can be expanded in the power series B1 − B2 t2 + B3 t4 − ...,

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