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Discrete Orthogonal Polynomials : Asymptotics & Applications (Paperback)

Author: Baik, J.

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Product Overview

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.

J. Baik, T. Kriecherbauer, K. T.-R. McLaughlin & P. D. Miller focus on asymptotic aspects of general, nonclassical discrete orthogonal polynomials and set out applications of current interest. Topics covered include the probability theory of discrete orthogonal polynomial ensembles and the continuum limit of the Toda lattice. The primary concern throughout is the asymptotic behavior of discrete orthogonal polynomials for general, nonclassical measures, in the joint limit where the degree increases as some fraction of the total number of points of collocation. The book formulates the orthogonality conditions defining these polynomials as a kind of Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis.

Specifications

Publisher Princeton Univ Pr
Mfg Part# 9780691127347
SKU 204133793
Format Paperback
ISBN10 0691127344
Release Date 11/12/2012
Product Attributes
Book Format Paperback
Number of Pages 0170
Publisher Princeton University Press
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