# CAOP

## Graphical Representation of Charlier Polynomials

### Definition

The Charlier polynomials are defined as

\begin{align} C_n(x,a) &= \sum_{k=0}^n {n \choose k} {x \choose k} k! \left(-\frac{1}{a}\right)^k\\ &= {}_2F_0 \left(\left. {-n, -x \atop -} \; \right| -\frac{1}{a} \right) \end{align}

### Plot

Note: You can choose a selection on the small graph in order to zoom. Mark the check boxes on the left side for which n you want to plot the graph.

### Parameters

Parameters

$$a$$ $$a > 0$$

factor (use Maple-style input)