03725nam 2200577 450 991080922710332120220819025124.00-8218-8188-40-8218-4886-0(CKB)3240000000070033(EBL)3113378(SSID)ssj0000629290(PQKBManifestationID)11398662(PQKBTitleCode)TC0000629290(PQKBWorkID)10735693(PQKB)11492789(MiAaPQ)EBC3113378(RPAM)15964146(PPN)197108377(EXLCZ)99324000000007003320091028h20102010 uy| 0engur|n|---|||||txtccrDifferential 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, editorsProvidence, Rhode Island :American Mathematical Society ;[Bogotá, Colombia] :Instituto de Matemáticas y sus Aplicaciones,[2010]©20101 online resource (241 p.)Contemporary mathematics,5090271-4132Description based upon print version of record.Includes bibliographical references and index.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.Contemporary mathematics,5090271-4132Differentiable dynamical systemsCongressesOrthogonal polynomialsCongressesDifferentiable dynamical systemsOrthogonal polynomials515/.39Charris Castañeda Jairo A.Acosta Humanez Primitivo B.Marcellán FranciscoJairo Charris SeminarMiAaPQMiAaPQMiAaPQBOOK9910809227103321Differential algebra, complex analysis and orthogonal polynomials774768UNINA