000 02784nam a2200361Ki 4500
001 ocn829714549
003 OCoLC
005 20240726105341.0
008 130311s2007 njua ob 001 0 eng d
040 _aNT
_beng
_erda
_cNT
020 _a9781400837137
_q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk.
050 0 4 _aQA404
_b.D573 2007
049 _aNTA
245 1 0 _aDiscrete orthogonal polynomials
_basymptotics and applications /
_cJ. Baik ... [and others.
260 _aPrinceton :
_bPrinceton University Press,
_c(c)2007.
300 _a1 online resource (vi, 170 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _adata file
_2rda
490 1 _aAnnals of mathematics studies ;
_vno. 164
504 _a2
505 0 0 _aAsymptotics of General Discrete Orthogonal Polynomials in the Complex Plane --
_tApplications --
_tAn Equivalent Riemann-Hilbert Problem --
_tAsymptotic Analysis --
_tDiscrete Orthogonal Polynomials: Proofs of Theorems Stated in 2.3 --
_tUniversality: 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."--BOOK JACKET.
530 _a2
_ub
650 0 _aOrthogonal polynomials
_xAsymptotic theory.
655 1 _aElectronic Books.
700 1 _aBaik, Jinho,
_d1973-
856 4 0 _uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=544759&site=eds-live&custid=s3260518
_zClick to access digital title | log in using your CIU ID number and my.ciu.edu password
942 _cOB
_D
_eEB
_hQA.
_m2007
_QOL
_R
_x
_8NFIC
_2LOC
994 _a02
_bNT
999 _c97463
_d97463
902 _a1
_bCynthia Snell
_c1
_dCynthia Snell