An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here we will identify one of them as Wilson polynomials. The other family seems to be new but we show that they are discrete orthogonal polynomials on a bounded countable set with one accumulation point at 0 and we give some asymptotics as the degree tends to infinity.
Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point
The reproducing kernel structure arising from a combination of continuous and discrete orthogonal polynomials into Fourier systems
Pearson Equations for Discrete Orthogonal Polynomials: II. Generalized Charlier, Meixner and Hahn of type I cases
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