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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



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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 Visualizza cluster
Pubblicazione: Providence, Rhode Island : , : American Mathematical Society
[Bogotá, Colombia] : , : Instituto de Matemáticas y sus Aplicaciones, , [2010]
©2010
Descrizione fisica: 1 online resource (241 p.)
Disciplina: 515/.39
Soggetto topico: Differentiable dynamical systems
Orthogonal polynomials
Persona (resp. second.): Charris CastañedaJairo A.
Acosta HumanezPrimitivo B.
MarcellánFrancisco
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. Hilbert's 16th and Weak Hilbert's 16th Problems -- 2. Estimating the number of zeroes of an Abelian integral -- References.
Titolo autorizzato: Differential algebra, complex analysis and orthogonal polynomials  Visualizza cluster
ISBN: 0-8218-8188-4
0-8218-4886-0
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910809227103321
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Serie: Contemporary mathematics, ; 509 . 0271-4132