LEADER 03725nam 2200577 450 001 9910788631503321 005 20220819025124.0 010 $a0-8218-8188-4 010 $a0-8218-4886-0 035 $a(CKB)3240000000070033 035 $a(EBL)3113378 035 $a(SSID)ssj0000629290 035 $a(PQKBManifestationID)11398662 035 $a(PQKBTitleCode)TC0000629290 035 $a(PQKBWorkID)10735693 035 $a(PQKB)11492789 035 $a(MiAaPQ)EBC3113378 035 $a(RPAM)15964146 035 $a(PPN)197108377 035 $a(EXLCZ)993240000000070033 100 $a20091028h20102010 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDifferential algebra, complex analysis and orthogonal polynomials $eJairo Charris Seminar 2007-2008, Escuela de Matema?ticas, Universidad Sergio Arboleda, Bogota?, Colombia /$fPrimitivo B. Acosta-Huma?nez, Francisco Marcella?n, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society ;$a[Bogota?, Colombia] :$cInstituto de Matema?ticas y sus Aplicaciones,$d[2010] 210 4$d©2010 215 $a1 online resource (241 p.) 225 1 $aContemporary mathematics,$v509$x0271-4132 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $aContents -- Preface -- Differential Galois Theory of Algebraic Lie-Vessiot Systems -- 1. Introduction -- 2. Algebraic Groups and Homogeneous Spaces -- 3. Differential Algebraic Geometry -- 4. Galois theory of Algebraic Lie-Vessiot Systems -- 5. Algebraic Reduction and Integration -- 6. Integrability of Linear Equations -- Appendix A. Stalk formula for affine morphisms -- References -- Recent Trends on Two Variable Orthogonal Polynomials -- 1. Introduction -- 2. Algebraic properties of orthogonal polynomials in two variables -- 3. Orthogonal polynomials in two variables and eigenfunctions of second order partial differential equations -- 4. Extended definition of classical orthogonal polynomials in two variables -- 5. Semiclassical orthogonal polynomials in two variables -- 6. Sobolev orthogonal polynomials in several variables -- 7. Open problems -- 8. Acknowledgements -- References -- On the Integrability of the Riccati Equation -- 1. Introduction -- 2. Symmetries to the one-parameter family of Riccati equations (1.2) -- 3. Applications -- 4. conclusions -- References -- Two Discrete Systems of q-orthogonal Polynomials -- Like-hyperbolic Bloch-Bergman Classes -- 1. Introduction -- 2. Properties of BI?±*A -- 3. Characterizations for I?±-Bloch-Bergman classes -- 4. Carleson and series characterization of BI?±* A and BI?±*A,0 -- 5. Properties of BI?±*A -- References -- Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem -- 1. Hilbert's 16th and Weak Hilbert's 16th Problems -- 2. Estimating the number of zeroes of an Abelian integral -- References. 410 0$aContemporary mathematics,$v509$x0271-4132 606 $aDifferentiable dynamical systems$vCongresses 606 $aOrthogonal polynomials$vCongresses 615 0$aDifferentiable dynamical systems 615 0$aOrthogonal polynomials 676 $a515/.39 702 $aCharris Castan?eda$b Jairo A. 702 $aAcosta Humanez$b Primitivo B. 702 $aMarcella?n$b Francisco 712 12$aJairo Charris Seminar 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788631503321 996 $aDifferential algebra, complex analysis and orthogonal polynomials$9774768 997 $aUNINA