The Resource Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others]
Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others]
Resource Information
The item Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries.
This item is available to borrow from 1 library branch.
- Summary
- "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."--Jacket
- Language
- eng
- Extent
- 1 online resource (vi, 170 pages)
- Contents
-
- Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane
- Applications
- An Equivalent Riemann-Hilbert Problem
- Asymptotic Analysis
- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3
- Universality: Proofs of Theorems Stated in 3.3
- Isbn
- 9781299224124
- Label
- Discrete orthogonal polynomials : asymptotics and applications
- Title
- Discrete orthogonal polynomials
- Title remainder
- asymptotics and applications
- Statement of responsibility
- J. Baik [and others]
- Language
- eng
- Summary
- "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."--Jacket
- Action
- digitized
- Cataloging source
- REB
- Dewey number
- 515/.55
- Illustrations
- illustrations
- Index
- index present
- Language note
- In English
- LC call number
- QA404.5
- LC item number
- .D57 2007
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
- 1973-
- http://library.link/vocab/relatedWorkOrContributorName
- Baik, Jinho
- Series statement
- Annals of mathematics studies
- Series volume
- no. 164
- http://library.link/vocab/subjectName
-
- Orthogonal polynomials
- MATHEMATICS
- MATHEMATICS
- MATHEMATICS
- Orthogonal polynomials
- Orthogonale Polynome
- Asymptotik
- Label
- Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others]
- Bibliography note
- Includes bibliographical references (pages 163-166) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane -- Applications -- An Equivalent Riemann-Hilbert Problem -- Asymptotic Analysis -- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 -- Universality: Proofs of Theorems Stated in 3.3
- Control code
- 793400543
- Dimensions
- unknown
- Extent
- 1 online resource (vi, 170 pages)
- Form of item
- online
- Isbn
- 9781299224124
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1515/9781400837137
- Other physical details
- illustrations
- http://library.link/vocab/ext/overdrive/overdriveId
- 22573/ctt2613xp
- Reproduction note
- Electronic reproduction.
- Specific material designation
- remote
- System control number
- (OCoLC)793400543
- System details
- Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
- Label
- Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others]
- Bibliography note
- Includes bibliographical references (pages 163-166) and index
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
- Asymptotics of General Discrete Orthogonal Polynomials in the Complex Plane -- Applications -- An Equivalent Riemann-Hilbert Problem -- Asymptotic Analysis -- Discrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 -- Universality: Proofs of Theorems Stated in 3.3
- Control code
- 793400543
- Dimensions
- unknown
- Extent
- 1 online resource (vi, 170 pages)
- Form of item
- online
- Isbn
- 9781299224124
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1515/9781400837137
- Other physical details
- illustrations
- http://library.link/vocab/ext/overdrive/overdriveId
- 22573/ctt2613xp
- Reproduction note
- Electronic reproduction.
- Specific material designation
- remote
- System control number
- (OCoLC)793400543
- System details
- Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.umsl.edu/portal/Discrete-orthogonal-polynomials--asymptotics-and/S3LvN9ukUmc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Discrete-orthogonal-polynomials--asymptotics-and/S3LvN9ukUmc/">Discrete orthogonal polynomials : asymptotics and applications, J. Baik [and others]</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of Missouri-St. Louis Libraries</a></span></span></span></span></div>
