3 problems

Let $P_n^{(\lambda)}(x;\phi)$ be the Meixner–Pollaczek polynomials, and let $\{y_{k,n+1}\}_{k=1}^{n+1}$ denote the zeros of $P_{n+1}^{(\lambda+1)}(x;\phi)$. Let $E_1$ and $E_2$ be…

Consider the continuous Hahn to Meixner–Pollaczek limit … The continuous Hahn and Meixner–Pollaczek systems are related by this limit, and the deformed systems considered have only…

Let $a$ be the Meixner–Pollaczek parameter and let $d_1,\ldots,d_M$ satisfy … The condition … is … This is supported by numerical calculations for small $M$ and $d_j$, but no analy…