3 problems

Let $T$ be a positive integer and define the Racah polynomial … Here $R_n(s,T)$ is symmetric in $n$ and $s$. Uniform Racah bound conjecture. For any integers $n,s$ with…

Kresch–Tamvakis conjecture. The following terminating hypergeometric series has absolute value at most $1$:

Let $T$ be a positive integer and let $R_n(s,T)$ be the special Racah polynomial … where $0\leq n,s\leq T-1$. Kresch–Tamvakis conjecture. For all $0\leq n,s\leq T-1$ and $T\geq 1$,…