Record Nr.

UNINA9910809227103321

Titolo

Differential algebra, complex analysis and orthogonal polynomials : Jairo Charris Seminar 2007-2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia / / Primitivo B. Acosta-Humánez, Francisco Marcellán, editors

Pubbl/distr/stampa


Providence, Rhode Island : , : American Mathematical Society
[Bogotá, Colombia] : , : Instituto de Matemáticas y sus Aplicaciones, , [2010]
©2010

ISBN

0-8218-8188-4

0-8218-4886-0

Descrizione fisica

1 online resource (241 p.)

Collana

Contemporary mathematics, ; 509 , 0271-4132

Disciplina

515/.39

Soggetti

Differentiable dynamical systems

Orthogonal polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents -- Preface -- Differential Galois Theory of Algebraic Lie-Vessiot Systems -- 1. Introduction -- 2. Algebraic Groups and Homogeneous Spaces -- 3. Differential Algebraic Geometry -- 4. Galois theory of Algebraic Lie-Vessiot Systems -- 5. Algebraic Reduction and Integration -- 6. Integrability of Linear Equations -- Appendix A. Stalk formula for affine morphisms -- References -- Recent Trends on Two Variable Orthogonal Polynomials -- 1. Introduction -- 2. Algebraic properties of orthogonal polynomials in two variables -- 3. Orthogonal polynomials in two variables and eigenfunctions of second order partial differential equations -- 4. Extended definition of classical orthogonal polynomials in two variables -- 5. Semiclassical orthogonal polynomials in two variables -- 6. Sobolev orthogonal polynomials in several variables -- 7. Open problems -- 8. Acknowledgements -- References -- On the Integrability of the Riccati Equation -- 1. Introduction -- 2. Symmetries to the one-parameter family of Riccati equations (1.2) -- 3. Applications -- 4. conclusions -- References -- Two Discrete

Systems of q-orthogonal Polynomials -- Like-hyperbolic Bloch-Bergman Classes -- 1. Introduction -- 2. Properties of BÎ±*A -- 3. Characterizations for Î±-Bloch-Bergman classes -- 4. Carleson and series characterization of BÎ±* A and BÎ±*A,0 -- 5. Properties of BÎ±*A -- References -- Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem -- 1. Hilbert's 16th and Weak Hilbert's 16th Problems -- 2. Estimating the number of zeroes of an Abelian integral -- References.