Discrete Orthogonal Polynomials AM 164 is popular PDF and ePub book, written by J. Baik in 2007-01-02, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Discrete Orthogonal Polynomials AM 164 can be Read Online from any device for your convenience.
Discrete Orthogonal Polynomials AM 164 Book PDF 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 Riemann-Hilbert problem and then generalizes the steepest descent method for such a problem to carry out the necessary asymptotic analysis.
Detail Book of Discrete Orthogonal Polynomials AM 164 PDF
- Author : J. Baik
- Release : 02 January 2007
- Publisher : Princeton University Press
- ISBN : 9781400837137
- Genre : Mathematics
- Total Page : 179 pages
- Language : English
- PDF File Size : 9,8 Mb
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