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Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications
 
Edited by: J. Arvesú Universidad Carlos III de Madrid, Leganés, Spain
Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications
Softcover ISBN:  978-0-8218-6896-6
Product Code:  CONM/578
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-9102-5
Product Code:  CONM/578.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-6896-6
eBook: ISBN:  978-0-8218-9102-5
Product Code:  CONM/578.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications
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Recent Advances in Orthogonal Polynomials, Special Functions, and Their Applications
Edited by: J. Arvesú Universidad Carlos III de Madrid, Leganés, Spain
Softcover ISBN:  978-0-8218-6896-6
Product Code:  CONM/578
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-9102-5
Product Code:  CONM/578.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-6896-6
eBook ISBN:  978-0-8218-9102-5
Product Code:  CONM/578.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5782012; 254 pp
    MSC: Primary 30; 33; 42; 41;

    This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29–September 2, 2011, at the Universidad Carlos III de Madrid in Leganés, Spain.

    The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann–Hilbert approach in the study of Padé approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann–Hilbert analysis, and the steepest descent method.

    Readership

    Graduate students and research mathematicians interested in special functions and orthogonal polynomials.

  • Table of Contents
     
     
    • Articles
    • Manuel Alfaro and Walter Van Assche — Life and work (so far) of Paco Marcellán
    • A. I. Aptekarev, J. S. Dehesa, P. Sánchez-Moreno and D. N. Tulyakov — Asymptotics of $L_p$-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states
    • J. S. Brauchart, D. P. Hardin and E. B. Saff — The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
    • M. J. Cantero, L. Moral and L. Velázquez — Spectral transformations of hermitian linear functionals
    • T. Claeys and S. Olver — Numerical study of higher order analogues of the Tracy–Widom distribution
    • Alexandre Eremenko and Peter Yuditskii — Comb functions
    • Jeffrey S. Geronimo, Plamen Iliev and Greg Knese — Orthogonality relations for bivariate Bernstein-Szegő measures
    • F. Alberto Grünbaum — Quantum walks and CMV matrices
    • D. S. Lubinsky — Discrete beta ensembles based on Gauss type quadratures
    • Andrei Martínez-Finkelshtein, Evgenii A. Rakhmanov and Sergey P. Suetin — Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later
    • E. A. Rakhmanov — Orthogonal Polynomials and $S$-curves
    • Vilmos Totik — Fast decreasing and orthogonal polynomials
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5782012; 254 pp
MSC: Primary 30; 33; 42; 41;

This volume contains the proceedings of the 11th International Symposium on Orthogonal Polynomials, Special Functions, and their Applications, held August 29–September 2, 2011, at the Universidad Carlos III de Madrid in Leganés, Spain.

The papers cover asymptotic properties of polynomials on curves of the complex plane, universality behavior of sequences of orthogonal polynomials for large classes of measures and its application in random matrix theory, the Riemann–Hilbert approach in the study of Padé approximation and asymptotics of orthogonal polynomials, quantum walks and CMV matrices, spectral modifications of linear functionals and their effect on the associated orthogonal polynomials, bivariate orthogonal polynomials, and optimal Riesz and logarithmic energy distribution of points. The methods used include potential theory, boundary values of analytic functions, Riemann–Hilbert analysis, and the steepest descent method.

Readership

Graduate students and research mathematicians interested in special functions and orthogonal polynomials.

  • Articles
  • Manuel Alfaro and Walter Van Assche — Life and work (so far) of Paco Marcellán
  • A. I. Aptekarev, J. S. Dehesa, P. Sánchez-Moreno and D. N. Tulyakov — Asymptotics of $L_p$-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states
  • J. S. Brauchart, D. P. Hardin and E. B. Saff — The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
  • M. J. Cantero, L. Moral and L. Velázquez — Spectral transformations of hermitian linear functionals
  • T. Claeys and S. Olver — Numerical study of higher order analogues of the Tracy–Widom distribution
  • Alexandre Eremenko and Peter Yuditskii — Comb functions
  • Jeffrey S. Geronimo, Plamen Iliev and Greg Knese — Orthogonality relations for bivariate Bernstein-Szegő measures
  • F. Alberto Grünbaum — Quantum walks and CMV matrices
  • D. S. Lubinsky — Discrete beta ensembles based on Gauss type quadratures
  • Andrei Martínez-Finkelshtein, Evgenii A. Rakhmanov and Sergey P. Suetin — Heine, Hilbert, Padé, Riemann, and Stieltjes: John Nuttall’s work 25 years later
  • E. A. Rakhmanov — Orthogonal Polynomials and $S$-curves
  • Vilmos Totik — Fast decreasing and orthogonal polynomials
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.