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Differential Algebra, Complex Analysis and Orthogonal Polynomials
 
Edited by: Primitivo B. Acosta-Humánez Universidad Sergio Arboleda, Bogotá, Colombia
Francisco Marcellán Universidad Carlos III de Madrid, Leganés, Spain
Differential Algebra, Complex Analysis and Orthogonal Polynomials
eBook ISBN:  978-0-8218-8188-0
Product Code:  CONM/509.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Differential Algebra, Complex Analysis and Orthogonal Polynomials
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Differential Algebra, Complex Analysis and Orthogonal Polynomials
Edited by: Primitivo B. Acosta-Humánez Universidad Sergio Arboleda, Bogotá, Colombia
Francisco Marcellán Universidad Carlos III de Madrid, Leganés, Spain
eBook ISBN:  978-0-8218-8188-0
Product Code:  CONM/509.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5092010; 231 pp
    MSC: Primary 05; 12; 14; 20; 30; 33; 34;

    This volume represents the 2007–2008 Jairo Charris Seminar in Algebra and Analysis on Differential Algebra, Complex Analysis and Orthogonal Polynomials, which was held at the Universidad Sergio Arboleda in Bogotá, Colombia.

    It provides the state of the art in the theory of Integrable Dynamical Systems based on such approaches as Differential Galois Theory and Lie Groups as well as some recent developments in the theory of multivariable and \(q\)-orthogonal polynomials, weak Hilbert's 16th Problem, Singularity Theory, Tournaments in flag manifolds, and spaces of bounded analytic functions on the unit circle.

    The reader will also find survey presentations, an account of recent developments, and the exposition of new trends in the areas of Differential Galois Theory, Integrable Dynamical Systems, Orthogonal Polynomials and Special Functions, and Bloch–Bergman classes of analytic functions from a theoretical and an applied perspective.

    The contributions present new results and methods, as well as applications and open problems, to foster interest in research in these areas.

    This book is published in cooperation with Instituto de Matemáticas y sus Aplicaciones (IMA).
    Readership

    Graduate students and research mathematicians interested in orthogonal polynomials, differential algebra, and integrability of dynamical systems.

  • Table of Contents
     
     
    • Articles
    • David Blázquez-Sanz and Juan José Morales-Ruiz — Differential Galois theory of algebraic Lie-Vessiot systems [ MR 2647636 ]
    • Lidia Fernández, Francisco Marcellán, Teresa E. Pérez and Miguel A. Piñar — Recent trends on two variable orthogonal polynomials [ MR 2647637 ]
    • Cesar A. Gomez S. — On the integrability of the Riccati equation [ MR 2647638 ]
    • Mourad E. H. Ismail — Two discrete systems of $q$-orthogonal polynomials [ MR 2647639 ]
    • J. Ławrynowicz, L. F. Reséndis O. and L. M. Tovar S. — Like-hyperbolic Bloch-Bergman classes [ MR 2647640 ]
    • J. Tomás Lázaro — Some words about the application of Tchebycheff systems to weak Hilbert’s 16th problem [ MR 2647641 ]
    • David Mond — From the index of a differential operator to the Milnor number of a singularity [ MR 2647642 ]
    • Juan J. Morales-Ruiz and Jean-Pierre Ramis — Integrability of dynamical systems through differential Galois theory: a practical guide [ MR 2647643 ]
    • Marlio Paredes and Sofía Pinzón — Tournaments and parabolic almost complex structures on flag manifolds [ MR 2647644 ]
  • 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: 5092010; 231 pp
MSC: Primary 05; 12; 14; 20; 30; 33; 34;

This volume represents the 2007–2008 Jairo Charris Seminar in Algebra and Analysis on Differential Algebra, Complex Analysis and Orthogonal Polynomials, which was held at the Universidad Sergio Arboleda in Bogotá, Colombia.

It provides the state of the art in the theory of Integrable Dynamical Systems based on such approaches as Differential Galois Theory and Lie Groups as well as some recent developments in the theory of multivariable and \(q\)-orthogonal polynomials, weak Hilbert's 16th Problem, Singularity Theory, Tournaments in flag manifolds, and spaces of bounded analytic functions on the unit circle.

The reader will also find survey presentations, an account of recent developments, and the exposition of new trends in the areas of Differential Galois Theory, Integrable Dynamical Systems, Orthogonal Polynomials and Special Functions, and Bloch–Bergman classes of analytic functions from a theoretical and an applied perspective.

The contributions present new results and methods, as well as applications and open problems, to foster interest in research in these areas.

This book is published in cooperation with Instituto de Matemáticas y sus Aplicaciones (IMA).
Readership

Graduate students and research mathematicians interested in orthogonal polynomials, differential algebra, and integrability of dynamical systems.

  • Articles
  • David Blázquez-Sanz and Juan José Morales-Ruiz — Differential Galois theory of algebraic Lie-Vessiot systems [ MR 2647636 ]
  • Lidia Fernández, Francisco Marcellán, Teresa E. Pérez and Miguel A. Piñar — Recent trends on two variable orthogonal polynomials [ MR 2647637 ]
  • Cesar A. Gomez S. — On the integrability of the Riccati equation [ MR 2647638 ]
  • Mourad E. H. Ismail — Two discrete systems of $q$-orthogonal polynomials [ MR 2647639 ]
  • J. Ławrynowicz, L. F. Reséndis O. and L. M. Tovar S. — Like-hyperbolic Bloch-Bergman classes [ MR 2647640 ]
  • J. Tomás Lázaro — Some words about the application of Tchebycheff systems to weak Hilbert’s 16th problem [ MR 2647641 ]
  • David Mond — From the index of a differential operator to the Milnor number of a singularity [ MR 2647642 ]
  • Juan J. Morales-Ruiz and Jean-Pierre Ramis — Integrability of dynamical systems through differential Galois theory: a practical guide [ MR 2647643 ]
  • Marlio Paredes and Sofía Pinzón — Tournaments and parabolic almost complex structures on flag manifolds [ MR 2647644 ]
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
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