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