Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
J. Baik
Sold by Kennys Bookstore, Olney, MD, U.S.A.
AbeBooks Seller since 9 October 2009
New - Soft cover
Condition: New
Quantity: 1 available
Add to basketSold by Kennys Bookstore, Olney, MD, U.S.A.
AbeBooks Seller since 9 October 2009
Condition: New
Quantity: 1 available
Add to basketDescribes the theory and applications of discrete orthogonal polynomials - polynomials that are orthogonal on a finite set. This book addresses general weight functions and presents a fresh methodology for handling the discrete weights case. Series: Annals of Mathematics Studies. Num Pages: 184 pages, 14 halftones. 6 line illus. BIC Classification: PB. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 254 x 203 x 9. Weight in Grams: 371. . 2007. Paperback. . . . . Books ship from the US and Ireland.
Seller Inventory # V9780691127347
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.
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