Lecture Notes in Mathematics _ 1265 _ Asymptotics for Orthogonal Polynomials

Van Assche, Walter; Dold, A. (eds); Eckmann, B. (eds)

ISBN 10: 3540180230 / ISBN 13: 9783540180234

Published by Springer Publishing Company, Berlin, 1987

About this Item

wraps, 201 pp, signed by author on copyright page, erratum page laid in Standard shipping (no tracking or insurance) / Priority (with tracking) / Custom quote for large or heavy orders.

Seller Inventory # 96711

Bibliographic Details

• Title: Lecture Notes in Mathematics _ 1265 _ Asymptotics for Orthogonal Polynomials
• Publisher: Springer Publishing Company, Berlin
• Publication Date: 1987
• Language: English
• ISBN 10: 3540180230
• ISBN 13: 9783540180234
• Binding: Paperback
• Edition: Paperback Small Quarto.
• Condition: Very good
• Signed: Signed by Author(s)
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Recently there has been a great deal of interest in the theory of orthogonal polynomials. The number of books treating the subject, however, is limited. This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. Another possible approach is to start from properties of the coefficients in the three-term recurrence relation for orthogonal polynomials. This is done using the methods of (discrete) scattering theory. A new method, based on limit theorems in probability theory, to obtain asymptotic formulas for some polynomials is also given. Various consequences of all the results are described and applications are given ranging from random matrices and birth-death processes to discrete Schrödinger operators, illustrating the close interaction with different branches of applied mathematics.