Discrete Entropy of Generalized Jacobi Polynomials

Andrei Martinez-Finkelshtein, Paul Nevai, Ana Peña

Given a sequence of orthonormal polynomials on $\mathbb{R}$,$\{p_n{\}}_{n\ge 0}$, with $p_n$ of degree $n$, we define the discrete probability distribution $Ψ_n(x) = \left(Ψ_{n,1}(x), \…