# Category:Polynomial Functions

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This category contains results about Polynomial Functions.

Definitions specific to this category can be found in Definitions/Polynomial Functions.

A **polynomial function** on $S$ is a mapping $f : S \to R$ for which there exist:

- a natural number $n \in \N$
- $a_0, \ldots, a_n \in R$

such that for all $x\in S$:

- $\map f x = \displaystyle \sum_{k \mathop = 0}^n a_k x^k$

where $\sum$ denotes indexed summation.