Romanovski polynomials, Gegenbauer connections, and $\mathrm{su}(1,1)$ ladder structures

José A. Vallejo, Mariana Kirchbach

We study the monic Romanovski (pseudo-Jacobi) polynomials corresponding to the degree dependent parameters ${\beta }_K=-K$, ${\alpha }_K=c/(K+1)$, with $K=n+\ell$. We write down, in explicit form…