Topic
Macdonald polynomials
About: Macdonald polynomials is a research topic. Over the lifetime, 3467 publications have been published within this topic receiving 63163 citations.
Papers published on a yearly basis
1 / 2
Papers
Book•
1 Oct 2000TL;DR: In this paper, the authors present an asymptotics for orthogonal polynomials in Riemann-Hilbert problems and Jacobi operators for continued fractions.
Abstract: Riemann-Hilbert problems Jacobi operators Orthogonal polynomials Continued fractions Random matrix theory Equilibrium measures Asymptotics for orthogonal polynomials Universality Bibliography.
1,854 citations
Book•
19 Mar 2001TL;DR: In this article, the authors considered the properties of orthogonal polynomials on the unit sphere, root systems and Coxeter groups, and the Summability of Orthogonal expansions.
Abstract: Preface to the second edition Preface to the first edition 1. Background 2. Orthogonal polynomials in two variables 3. General properties of orthogonal polynomials in several variables 4. Orthogonal polynomials on the unit sphere 5. Examples of orthogonal polynomials in several variables 6. Root systems and Coxeter groups 7. Spherical harmonics associated with reflection groups 8. Generalized classical orthogonal polynomials 9. Summability of orthogonal expansions 10. Orthogonal polynomials associated with symmetric groups 11. Orthogonal polynomials associated with octahedral groups and applications References Author index Symbol index Subject index.
1,213 citations
920 citations
TL;DR: Results parallel to the theory of orthogonal polynomials in one variable are established using a vectormatrix notation, which reports on the recent development on the general theory of hospitalisation in several variables.
615 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 18 |
| 2024 | 18 |
| 2023 | 40 |
| 2022 | 91 |
| 2021 | 42 |
| 2020 | 48 |