2006/04/30 by Francisco Marcellán, Francisco Marcellan, Juan J. Moreno–Balcázar +1 · 54 citations
Mathematics · Physics and Astronomy · #Classical orthogonal polynomials #Differential Equations and Boundary Problems #Electromagnetic Scattering and Analysis #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Partial differential equation #Pure mathematics #Sobolev space #math.CA #msc:33C45 #msc:42C05
paper · pdf · open access · doi:10.1007/s10440-006-9073-y
published in Acta Applicandae Mathematicae 94(2), 163-192 (Springer Science+Business Media) · Changed content; 34 pages, 41 references
openalex publication_date 2006/10/04 · arxiv created 2007/06/15 · arxiv updated 2011/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we present a survey about analytic properties of polynomials orthogonal with respect to a weighted Sobolev inner product such that the vector of measures has an unbounded support. In particular, we are focused in the study of the asymptotic behaviour of such polynomials as well as in the distribution of their zeros. Some open problems as well as some new directions for a future research are formulated.