Classical orthogonal polynomials

1985/01/01 by George E. Andrews, Richard Askey · 89 citations
Mathematics · #Advanced Mathematical Identities #Algebra over a field #Classical orthogonal polynomials #Discrete orthogonal polynomials #Gegenbauer polynomials #Geometry #Hahn polynomials #Jacobi polynomials #Kravchuk polynomials #Mathematical functions and polynomials #Mathematics #Mathematics and Applications #Mehler–Heine formula #Orthogonal polynomials #Orthogonality #Pure mathematics #Wilson polynomials

paper · doi:10.1007/bfb0076530

published in Lecture Notes in Mathematics, 36-62 (Springer Berlin Heidelberg)

crossref issued 1985/01/01 · crossref published 1985/01/01 · crossref published-print 1985/01/01 · openalex publication_date 1985/01/01 · crossref published-online 2006/09/16 · crossref created 2006/11/21 · crossref deposited 2019/04/22 · openalex created_date 2025/10/10 · crossref indexed 2026/07/25 · openalex updated_date 2026/07/29

Citations

• Über Sturm-Liouvillesche Polynomsysteme
• �ber die Jacobischen Polynome und zwei verwandte Polynomklassen
• Positive Jacobi Polynomial Sums, II

Cited by

• The Darboux-like transform and some integrable cases of theq-Riccati equation
• Full indefinite Stieltjes moment problem and Padé approximants
• Asymptotics and Zeros of Sobolev Orthogonal Polynomials on Unbounded Supports
• Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures
• The generating function of bivariate Chebyshev polynomials associated with the Lie algebra G 2
• Classical orthogonal polynomials [wikipedia]