LEADER 04441nam 22004815 450 001 9910483901103321 005 20200701014225.0 010 $a3-030-36744-4 024 7 $a10.1007/978-3-030-36744-2 035 $a(CKB)4100000010660952 035 $a(DE-He213)978-3-030-36744-2 035 $a(MiAaPQ)EBC6133710 035 $a(PPN)243227701 035 $a(EXLCZ)994100000010660952 100 $a20200311d2020 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOrthogonal Polynomials $e2nd AIMS-Volkswagen Stiftung Workshop, Douala, Cameroon, 5-12 October, 2018 /$fedited by Mama Foupouagnigni, Wolfram Koepf 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2020. 215 $a1 online resource (X, 683 p. 31 illus., 22 illus. in color.) 225 1 $aTutorials, Schools, and Workshops in the Mathematical Sciences ,$x2522-0969 311 $a3-030-36743-6 327 $aPart I: Introduction to Orthogonal Polynomials -- An Introduction to Orthogonal Polynomials -- Classical Continuous Orthogonal Polynomials -- Generating Functions and Hypergeometric Representations of Classical Continuous Orthogonal Polynomials -- Properties and Applications of the Zeros of Classical Continuous Orthogonal Polynomials -- Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials -- Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable -- Computer Algebra, Power Series and Summation -- On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hypergeometric Functions -- The Gamma Function -- Part II: Recent Research Topics in Orthogonal Polynomials and Applications -- Hypergeometric Multivariate Orthogonal Polynomials -- Signal Processing, Orthogonal Polynomials, and Heun Equations -- Some Characterization Problems Related to Sheffer Polynomial Sets -- From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals -- Two Variable Orthogonal Polynomials and Fejér-Riesz Factorization -- Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations -- (R, p, q)-Rogers?Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras -- Zeros of Orthogonal Polynomials -- Properties of Certain Classes of Semiclassical Orthogonal Polynomials -- Orthogonal Polynomials and Computer Algebra -- Spin Chains, Graphs and State Revival -- An Introduction to Special Functions with Some Applications to Quantum Mechanics -- Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations. 330 $aThis book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations. The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5?12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation. 410 0$aTutorials, Schools, and Workshops in the Mathematical Sciences ,$x2522-0969 606 $aSpecial functions 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 615 0$aSpecial functions. 615 14$aSpecial Functions. 676 $a515.55 702 $aFoupouagnigni$b Mama$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKoepf$b Wolfram$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483901103321 996 $aOrthogonal Polynomials$92201432 997 $aUNINA