Equations
Graphical Representation of Hahn Polynomials
Definition
The Hahn polynomials are defined as
\[
\begin{align}
Q_n(x;\alpha,\beta,N) &= \sum_{k=0}^n \frac{(-n)_k (n+\alpha+\beta+1)_k (-x)_k}{(\alpha+1)_k (-N)_k k!}\\
&= {}_3F_2 \left(\left. {-n, n+\alpha+\beta+1, -x \atop \alpha+1, -N} \; \right| 1 \right)
\end{align}
\]
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.
