Discrete orthogonal polynomials : asymptotics and applications / J. Baik [and others].

Contributor(s):

Baik, Jinho, 1973-

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9781400837137
1400837138
1299224121
9781299224124

Subject(s): Genre/Form:

Additional physical formats: Print version:: Discrete orthogonal polynomials.DDC classification:

515/.55 22

LOC classification:

QA404.5 .D57 2007

Other classification:

SK 470

Online resources:

Click here to access online

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.

Action note:

digitized 2011 HathiTrust Digital Library committed to preserve

Review: "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.

Item type:

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 163-166) and index.

"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.

Use copy Restrictions unspecified star MiAaHDL

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2011. MiAaHDL

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. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL

In English.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide

There are no comments on this title.

to post a comment.