Editing Newton polynomial (section)

==General case==
For the special case of ''x<sub>i</sub>'' = ''i'', there is a closely related set of polynomials, also called the Newton polynomials, that are simply the [[binomial coefficient]]s for general argument. That is, one also has the Newton polynomials <math>p_n(z)</math> given by

:<math>p_n(z)={z \choose n}= \frac{z(z-1)\cdots(z-n+1)}{n!}</math>

In this form, the Newton polynomials generate the [[Newton series]]. These are in turn a special case of the general [[difference polynomials]] which allow the representation of [[analytic function]]s through generalized difference equations.