LEADER 03817nam 2200601 450 001 9910480050703321 005 20180731044131.0 010 $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(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 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $a""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"" 327 $a""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"" 327 $a""Two Discrete Systems of q-orthogonal Polynomials""""Like-hyperbolic Bloch-Bergman Classes""; ""1. Introduction""; ""2. Properties of BI?±*A""; ""3. Characterizations for I?±-Bloch-Bergman classes""; ""4. Carleson and series characterization of BI?±* A and BI?±*A,0""; ""5. Properties of BI?±*A""; ""References""; ""Some words about the application of Tchebycheff systems to Weak Hilbert's 16th Problem""; ""1. Hilberta???s 16th and Weak Hilbert's 16th Problems""; ""2. Estimating the number of zeroes of an Abelian integral""; ""References"" 410 0$aContemporary mathematics (American Mathematical Society) ;$vv. 509. 606 $aDifferentiable dynamical systems$vCongresses 606 $aOrthogonal polynomials$vCongresses 608 $aElectronic books. 615 0$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 $a9910480050703321 996 $aDifferential algebra, complex analysis and orthogonal polynomials$9774768 997 $aUNINA