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

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

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

From Textbooks • Mar. 30, 2016

First, we state Term-by-Term Differentiation and Integration for Power Series, which provides the main result regarding differentiation and integration of power series.

From Textbooks • Mar. 30, 2016

In the following exercises, use partial fractions to find the power series of each function.

From Textbooks • Mar. 30, 2016

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