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 MissouriSt. 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 MissouriSt. 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 RiemannHilbert 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 RiemannHilbert 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 RiemannHilbert 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 163166) 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 RiemannHilbert 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 163166) 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 RiemannHilbert 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 faexternallinksquare fafw"></i> Data from <span resource="http://link.umsl.edu/portal/Discreteorthogonalpolynomialsasymptoticsand/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/Discreteorthogonalpolynomialsasymptoticsand/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 MissouriSt. Louis Libraries</a></span></span></span></span></div>