History of Hahn polynomials $Q_n(x;\alpha,\beta,N)$

 - Hahn class Definition: For rational $\alpha,\beta>-1$, integer $N\geq1$ and $0\leq n\leq N$,-  the Hahn polynomial $Q_n(x;\alpha,\beta,N)$ is the degree-$n$ polynomial given by-  the finite sum CITE{formula-hypergeometric}. Equivalently, it is the terminating-  ${}_3F_2\left(\begin{matrix}-n,n+\alpha+\beta+1,-x\\ \alpha+1,-N\end{matrix};1\right)$-  of DLMF CITE{DLMFExplicit}.+  $Q_n(x;\alpha,\beta,N)$ is the degree-$n$ Hahn polynomial defined by the finite+  sum CITE{formula-hypergeometric}, the terminating ${}_3F_2$ of DLMF CITE{DLMFExplicit}. Parameters:   alpha: