Classical and quantum orthogonal polynomials in one variable / Ismail, Mourad E. H.

Public ISBD Titre : Classical and quantum orthogonal polynomials in one variable : with two chapters by Walter van Assche Type de document : texte imprimé Auteurs : Ismail, Mourad E. H., Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 2005 Collection : Encyclopedia of Mathematics and Its Applications num. 98 Importance : xviii - 706 p. ISBN/ISSN/EAN : 978-0-521-78201-2 Langues : Anglais Catégories : 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 42-XX Fourier analysis:42CXX Nontrigonometric Fourier analysis:42C05 Orthogonal functions and polynomials, general theory 42-XX Fourier analysis:42CXX Nontrigonometric Fourier analysis:42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions Mots-clés : multiple orthogonal polynomials  riemann-hilbert problem  $q$-orthogonal polynomials  linearization and integral representation  polynomials on the unit circle  zeros and inequalities  discrete orthogonal polynomials  classical orthogonal polynomials Index. décimale : 42C Monographie Classical and quantum orthogonal polynomials in one variable : with two chapters by Walter van Assche [texte imprimé] / Ismail, Mourad E. H., Auteur . - Cambridge : Cambridge University Press, 2005 . - xviii - 706 p.. - (Encyclopedia of Mathematics and Its Applications; 98) . ISBN : 978-0-521-78201-2 Langues : Anglais Catégories : 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 42-XX Fourier analysis:42CXX Nontrigonometric Fourier analysis:42C05 Orthogonal functions and polynomials, general theory 42-XX Fourier analysis:42CXX Nontrigonometric Fourier analysis:42C15 Series of general orthogonal functions, generalized Fourier expansions, nonorthogonal expansions Mots-clés : multiple orthogonal polynomials  riemann-hilbert problem  $q$-orthogonal polynomials  linearization and integral representation  polynomials on the unit circle  zeros and inequalities  discrete orthogonal polynomials  classical orthogonal polynomials Index. décimale : 42C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
16784	42C97	imprimé / autre	CRDM	42/ANALYSE DE FOURIER	Disponible

Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups / V. Tarasov

Public ISBD Titre : Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups Type de document : texte imprimé Auteurs : V. Tarasov ; A. N. Varchenko Editeur : Paris : Société Mathématiques de France Année de publication : 1997 Collection : Astérisque, ISSN 0303-1179 num. 246 Importance : vi - 135 p. Langues : Anglais Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D60 Basic hypergeometric integrals and functions defined by them 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D70 Other basic hypergeometric functions and integrals in several variables 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations Mots-clés : r-matrix  asymptotic solutions  transition functions  tensor coordinates  quantized knihnik-zamolodchokov equation  discrete gauss-manin connection Index. décimale : AST Geometry of q-hypergeometric functions, quantum affine algebras and elliptic quantum groups [texte imprimé] / V. Tarasov ; A. N. Varchenko . - Paris : Société Mathématiques de France, 1997 . - vi - 135 p. . - (Astérisque, ISSN 0303-1179; 246) . Langues : Anglais Catégories : 17-XX Nonassociative rings and algebras:17-02 Research exposition (monographs, survey articles) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 33-XX Special functions (33-XX deals with the properties of functions as functions) :33-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D60 Basic hypergeometric integrals and functions defined by them 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D70 Other basic hypergeometric functions and integrals in several variables 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 81-XX Quantum theory:81RXX Groups and algebras in quantum theory:81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations Mots-clés : r-matrix  asymptotic solutions  transition functions  tensor coordinates  quantized knihnik-zamolodchokov equation  discrete gauss-manin connection Index. décimale : AST

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
14207	AST/246	imprimé / autre	CRDM	AST/ASTÉRISQUE	Disponible

Representation of Lie groups and special functions / Vilenkin, N. Ya.

Public ISBD Titre : Representation of Lie groups and special functions : recent advances Type de document : texte imprimé Auteurs : Vilenkin, N. Ya., Auteur ; A. U. Klimyk Editeur : Dordrecht : Kluwer Academic Année de publication : 1995 Collection : Mathematics and its applications (Kluwer Academic Publishers num. 316 Importance : xvi, 497 p. Présentation : ill. Format : 25 cm. ISBN/ISSN/EAN : 978-0-7923-3210-7 Langues : Anglais Catégories : 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 43-XX Abstract harmonic analysis :43A65 Representations of groups, semigroups, etc. Mots-clés : Gel'fand hypergeometric functions  special functions  spherical functions on groups  matrix elements  irreducible group representations  Coxeter groups  h-harmonic polynomials  h-Hankel transforms  orthogonal groups  differential difference operators Index. décimale : 22C Monographie Representation of Lie groups and special functions : recent advances [texte imprimé] / Vilenkin, N. Ya., Auteur ; A. U. Klimyk . - Dordrecht : Kluwer Academic, 1995 . - xvi, 497 p. : ill. ; 25 cm.. - (Mathematics and its applications (Kluwer Academic Publishers; 316) . ISBN : 978-0-7923-3210-7 Langues : Anglais Catégories : 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 22-XX Topological groups, Lie groups :22EXX Lie groups :22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics 43-XX Abstract harmonic analysis :43A65 Representations of groups, semigroups, etc. Mots-clés : Gel'fand hypergeometric functions  special functions  spherical functions on groups  matrix elements  irreducible group representations  Coxeter groups  h-harmonic polynomials  h-Hankel transforms  orthogonal groups  differential difference operators Index. décimale : 22C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
18897	22C81	imprimé / autre	CRDM	22/GROUPES TOPOLOGIQUES ET GROUPES DE LIE	Disponible

Representation of Lie groups and special functions. Vol. III / Vilenkin, N. Ya.

Public ISBD Titre : Representation of Lie groups and special functions. Vol. III : Classical and quantum groups and special functions Type de document : texte imprimé Auteurs : Vilenkin, N. Ya., Auteur ; A. U. Klimyk, Auteur Editeur : Dordrechtn : Kluwer Academic Publishers Année de publication : 1992 Collection : Mathematics and its Applications num. 75 Importance : xix - 629 p. ISBN/ISSN/EAN : 978-0-7923-1493-6 Langues : Anglais Langues originales : Russe Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33CXX Hypergeometric functions:33C80 Connections with groups and algebras, and related topics 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics Mots-clés : spherical functions on groups  matrix elements  irreducible group representations  integral transforms  Clebsch-Gordan coefficients  Racah coefficients  tensor products  orthogonality relations  quantum groups  q-orthogonal polynomials  basic hypergeometric functions  quantum algebra  semisimple Lie groups  homogeneous spaces  principal series representations Index. décimale : 22C Monographie Representation of Lie groups and special functions. Vol. III : Classical and quantum groups and special functions [texte imprimé] / Vilenkin, N. Ya., Auteur ; A. U. Klimyk, Auteur . - Dordrechtn : Kluwer Academic Publishers, 1992 . - xix - 629 p.. - (Mathematics and its Applications; 75) . ISBN : 978-0-7923-1493-6 Langues : Anglais Langues originales : Russe Catégories : 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B37 Quantum groups (quantized enveloping algebras) and related deformations 22-XX Topological groups, Lie groups :22-02 Research exposition (monographs, survey articles) 33-XX Special functions (33-XX deals with the properties of functions as functions) :33CXX Hypergeometric functions:33C80 Connections with groups and algebras, and related topics 33-XX Special functions (33-XX deals with the properties of functions as functions) :33DXX Basic hypergeometric functions:33D80 Connections with quantum groups, Chevalley groups, $p$-adic groups, Hecke algebras, and related topics Mots-clés : spherical functions on groups  matrix elements  irreducible group representations  integral transforms  Clebsch-Gordan coefficients  Racah coefficients  tensor products  orthogonality relations  quantum groups  q-orthogonal polynomials  basic hypergeometric functions  quantum algebra  semisimple Lie groups  homogeneous spaces  principal series representations Index. décimale : 22C Monographie

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité
19585	22C88	imprimé / autre	CRDM	22/GROUPES TOPOLOGIQUES ET GROUPES DE LIE	Disponible

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