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

• Record Nr.: UNINA9910480050703321
• 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
• Disciplina: 515/.39
• Soggetti: Differentiable dynamical systems; Orthogonal polynomials; Electronic books.
• 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 Bα*A""; ""3. Characterizations for α-Bloch-Bergman classes""; ""4. Carleson and series characterization of Bα* A and Bα*A,0""; ""5. Properties of Bα*A""; ""References""; ""Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem""; ""1. Hilbertâ€?s 16th and Weak Hilbert's 16th Problems""; ""2. Estimating the number of zeroes of an Abelian integral""; ""References""