# Definition of *power series* in English:

## power series

Syllabification: pow·er se·ries### noun

*Mathematics*

- 1An infinite series of the form Σ
*a*_{n}*x*^{n}(where*n*is a positive integer).More example sentences- Not surprisingly, he also discovered the infinite power series for the cosine and the tangent.
- This is called a power series for sin because it is a series in terms of powers of x.
- Already at this stage he began to undertake research, investigating the problem of finding an estimate for the determinant generated by coefficients of a power series.

- 1.1A generalization of a power series for more than one variable.More example sentences
- It also contains continued fractions, quadratic equations, sums of power series and a table of sines.
- He worked on power series and on potential theory.
- Some of his most well-known contributions are a theorem connected to the Phragmén-Lindelöf principle, a theorem about the zeros of the V-function and several theorems about power series with integer coefficients.

## More definitions of **power series**

Definition of **power series**in:

- The British & World English dictionary