Discrete Orthogonal Polynomials. (AM-164) : : Asymptotics and Applications (AM-164) /

Discrete Orthogonal Polynomials. (AM-164) : : Asymptotics and Applications (AM-164) / / Kenneth D.T-R McLaughlin, Peter D. Miller, T. Kriecherbauer, J. Baik.

This book describes the theory and applications of discrete orthogonal polynomials--polynomials that are orthogonal on a finite set. Unlike other books, Discrete Orthogonal Polynomials addresses completely general weight functions and presents a new methodology for handling the discrete weights case...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Baik, J.,
Kriecherbauer, T.,
McLaughlin, Kenneth D.T-R,
Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2007]
©2007
Year of Publication:2007
Edition:Course Book
Language:English
Series:Annals of Mathematics Studies ; 164
Online Access:
Physical Description:1 online resource (184 p.) :; 14 halftones. 6 line illus.
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Chapter 1. Introduction
  • Chapter 2. Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane
  • Chapter 3. Applications
  • Chapter 4. An Equivalent Riemann-Hilbert Problem
  • Chapter 5. Asymptotic Analysis
  • Chapter 6. Discrete Orthogonal Polynomials: Proofs of Theorems Stated in §2.3
  • Chapter 7. Universality: Proofs of Theorems Stated in §3.3
  • Appendix A. The Explicit Solution of Riemann-Hilbert Problem 5.1
  • Appendix B. Construction of the Hahn Equilibrium Measure: the Proof of Theorem 2.17
  • Appendix C. List of Important Symbols
  • Bibliography
  • Index

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