2014/07/12 by Oksana Bihun, F. Calogero, Francesco Calogero · 15 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Askey–Wilson polynomials #Chebyshev polynomials #Classical orthogonal polynomials #Diophantine equation #Discrete mathematics #Discrete orthogonal polynomials #Gegenbauer polynomials #Hahn polynomials #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Orthogonal polynomials #Pure mathematics #Scheme (mathematics) #Wilson polynomials #math.CA #msc:11D41 #msc:15A18 #msc:33C45
paper · pdf · doi:10.1007/s11005-014-0728-8
published in Letters in Mathematical Physics 104(12), 1571-1588 (Springer Science+Business Media)
arxiv created 2014/07/12 · openalex publication_date 2014/10/25 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.