4 problems

Let $n$ be a positive integer, let $x$ be a variable, and let $a$, $b$, $c$, $d$, and $q$ be parameters. Let $p_n(x;a,b,c,d;q)$ denote the Askey–Wilson polynomial. Quadratic relati…

Let $\{p_n\}$ be an Askey–Wilson polynomial system with parameters $\pm(a,b,c,d)$. Let $C_1,C_2,D,G_1,G_2,\om$ be the associated quantities, considered up to their equivalence clas…

Let $M=2s$, let $\bar u=\\{u_1,u_2,\ldots,u_{2s}\\}$ be a generic set of parameters, and let $|\Psi_{g,\epsilon}^{2s}(\bar u,m_0)\rangle$ be the Bethe vector defined by … For…

q-Rodrigues conjecture. The identity