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.

---

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 +…

---

power series Scientific  

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

---

Etymology

Origin of power series

First recorded in 1890–95

Example Sentences

Next, we show how to find power series representations for many more functions by introducing Taylor series.

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

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 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 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