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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
Soggetto genere / forma: Electronic books.
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.: 9910480050703321
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Serie: Contemporary mathematics (American Mathematical Society) ; ; v. 509.