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Discrete orthogonal polynomials : asymptotics and applications /

"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 weigh...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Baik, Jinho, 1973-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, ©2007.
Colección:Annals of mathematics studies ; no. 164.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Discrete orthogonal polynomials :  |b asymptotics and applications /  |c J. Baik [and others]. 
260 |a Princeton :  |b Princeton University Press,  |c ©2007. 
300 |a 1 online resource (vi, 170 pages) :  |b illustrations 
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490 1 |a Annals of mathematics studies ;  |v no. 164 
504 |a Includes bibliographical references (pages 163-166) and index. 
505 0 |a 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. 
520 1 |a "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. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
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650 0 |a Orthogonal polynomials  |x Asymptotic theory. 
650 6 |a Polynômes orthogonaux  |x Théorie asymptotique. 
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650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Discrete Mathematics.  |2 bisacsh 
650 7 |a Orthogonal polynomials  |x Asymptotic theory.  |2 fast  |0 (OCoLC)fst01048522 
650 7 |a Orthogonale Polynome  |2 gnd 
650 7 |a Asymptotik  |2 gnd 
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650 0 7 |a Asymptotik.  |2 swd 
700 1 |a Baik, Jinho,  |d 1973- 
776 0 8 |i Print version:  |t Discrete orthogonal polynomials.  |d Princeton : Princeton University Press, 2007  |z 9780691127330  |w (DLC) 2006050587  |w (OCoLC)71006840 
830 0 |a Annals of mathematics studies ;  |v no. 164. 
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