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Charlier Polynomials
Definition
The Charlier polynomials are defined as
\[
\begin{align}
C_n(x,a) &= \sum_{k=0}^n {n \choose k} {x \choose k} k! \left(-\frac{1}{a}\right)^k\\
&= {}_2F_0 \left(\left. {-n, -x \atop -} \; \right| -\frac{1}{a} \right)
\end{align}
\]
