Properties of the zeros of the polynomials belonging to the Askey scheme
arXiv:1407.3379 · doi:10.1007/s11005-014-0728-8
Abstract
In this paper we provide properties---which are, to the best of our knowledge, new---of the zeros of the polynomials belonging to the Askey scheme. These findings include Diophantine relations satisfied by these zeros when the parameters characterizing these polynomials are appropriately restricted.
References in corpus (1)
Cited by in corpus (4)
- Properties of the zeros of the polynomials belonging to the Askey scheme
- Finite-dimensional representations of difference operators, and the identification of remarkable matrices
- Perturbations around the zeros of classical orthogonal polynomials
- Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials