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Discrete Orthogonal Polynomials. (Am-164): Asymptotics and Applications (Am-164)
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Discrete Orthogonal Polynomials. (Am-164): Asymptotics and Applications (Am-164) Paperback - 2007

by J. Baik; T. Kriecherbauer; Kenneth D. McLaughlin


From the publisher

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.

Details

  • Title Discrete Orthogonal Polynomials. (Am-164): Asymptotics and Applications (Am-164)
  • Author J. Baik; T. Kriecherbauer; Kenneth D. McLaughlin
  • Binding Paperback
  • Pages 184
  • Volumes 1
  • Language ENG
  • Publisher Princeton University Press
  • Date 2007-01-22
  • Features Bibliography, Index, Table of Contents
  • ISBN 9780691127347 / 0691127344
  • Weight 0.96 lbs (0.44 kg)
  • Dimensions 10.08 x 7.8 x 0.45 in (25.60 x 19.81 x 1.14 cm)
  • Library of Congress subjects Orthogonal polynomials - Asymptotic theory
  • Library of Congress Catalog Number 2006050587
  • Dewey Decimal Code 515.55

About the author

J. Baik is Associate Professor of Mathematics at the University of Michigan. T. Kriecherbauer is Professor of Mathematics at Ruhr-Universitt Bochum in Bochum, Germany. K. T.-R. McLaughlin is Professor of Mathematics at the University of Arizona. P. D. Miller is Associate Professor of Mathematics at the University of Michigan.
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Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)

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

by J. Baik

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Paperback / softback. New. Describes 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.
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Discrete Orthogonal Polynomials. (AM�164) � Asymptotics and Applications (AM�164)
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Discrete Orthogonal Polynomials. (AM�164) � Asymptotics and Applications (AM�164)

by Baik, J./ T. Kriecherbauer/ Mclaughlin, K. T.-r./ Miller, P. D.

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Princeton Univ Pr, 2006. Paperback. New. 170 pages. 9.75x8.00x0.50 inches.
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Discrete Orthogonal Polynomials. (AM�164) � Asymptotics and Applications (AM�164)
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Discrete Orthogonal Polynomials. (AM�164) � Asymptotics and Applications (AM�164)

by Baik, J./ T. Kriecherbauer/ Mclaughlin, K. T.-r./ Miller, P. D.

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0691127344
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Princeton Univ Pr, 2006. Paperback. New. 170 pages. 9.75x8.00x0.50 inches.
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Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) (Annals of...
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Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) (Annals of Mathematics Studies)

by Baik, J.; Kriecherbauer, T.; McLaughlin, Kenneth D.T-R; Miller, Peter D

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0691127344
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Princeton University Press, 2007-01-22. Paperback. New. New. In shrink wrap. Looks like an interesting title!
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Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) (Annals of...
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Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164) (Annals of Mathematics Studies, 164)

by Baik, J.; Kriecherbauer, T.; McLaughlin, Kenneth D.T-R; Miller, Peter D

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