M. Kirchbach

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

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, the parameter preserving first order lowering and raising relations at fixed $(\alpha,\beta)$, with real proportionality constant...