3 problems

Let $p$ be the sequence of orthonormal polynomials satisfying $xp=J_{N+1}p$, where $J_{N+1}$ is the Jacobi matrix associated with the measure $(x-c)^{N+1}d\mu(x)$. Suppose that the…

Let $\mathbf{P}_n$ be the Sobolev orthogonal polynomials considered in the paper, and let $\delta$ denote the number of parameters $c_1,\ldots,c_\delta$ appearing in the associated…

Let $Q_n^{\lambda}$ be the Sobolev-type Charlier polynomials considered under the assumptions on $c$ above, and let their zeros be the points whose electrostatic behavior is under…