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Discrete Orthogonal Polynomials. (AM-164) : Asymptotics and Applications (AM-164) /

"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
Otros Autores: Baik, Jinho, 1973-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2007.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Discrete Orthogonal Polynomials. (AM-164) :   |b Asymptotics and Applications (AM-164) /   |c J. Baik [and others]. 
264 1 |a Princeton :  |b Princeton University Press,  |c 2007. 
264 3 |a Baltimore, Md. :  |b Project MUSE,   |c 0000 
264 4 |c ©2007. 
300 |a 1 online resource:   |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 0 |a Annals of mathematics studies ;  |v no. 164 
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. 
546 |a In English. 
588 |a Description based on print version record. 
650 0 7 |a Asymptotik.  |2 swd 
650 0 7 |a Orthogonale Polynome.  |2 swd 
650 7 |a Asymptotik  |2 gnd 
650 7 |a Orthogonale Polynome  |2 gnd 
650 7 |a Orthogonal polynomials  |x Asymptotic theory.  |2 fast  |0 (OCoLC)fst01048522 
650 7 |a MATHEMATICS  |x Discrete Mathematics.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 6 |a Polynômes orthogonaux  |x Theorie asymptotique. 
650 0 |a Orthogonal polynomials  |x Asymptotic theory. 
655 7 |a Electronic books.   |2 local 
700 1 |a Baik, Jinho,  |d 1973- 
710 2 |a Project Muse.  |e distributor 
830 0 |a Book collections on Project MUSE. 
856 4 0 |z Texto completo  |u https://projectmuse.uam.elogim.com/book/33478/ 
945 |a Project MUSE - Custom Collection