Search Results - "Orthogonal polynomials and functions associated with root systems"
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1
Authors:
Source: Indian Journal of Pure and Applied Mathematics. 55:1129-1141
Subject Terms: 0101 mathematics, umbral calculus and umbral algebra methods, special polynomial and numbers, 01 natural sciences, Fibonacci and Lucas numbers and polynomials and generalizations, Umbral calculus, Bernoulli and Euler numbers and polynomials, Orthogonal polynomials and functions associated with root systems, exponential generating functions, harmonic Fibonacci number
File Description: application/xml
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2
Authors: S. Ole Warnaar
Source: The Ramanujan Journal. 10:237-268
Subject Terms: \(q\)-gamma functions, \(q\)-beta functions and integrals, Selberg integrals, symmetric functions, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)
File Description: application/xml
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3
Authors: Frédéric Chapoton
Source: Bulletin of the London Mathematical Society. 37:755-760
Subject Terms: Reflection and Coxeter groups (group-theoretic aspects), 0103 physical sciences, 0101 mathematics, Exactly solvable models, Bethe ansatz, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, Higher logarithm functions
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4
Authors:
Source: Compositio Mathematica. 141:1310-1350
Subject Terms: Askey-Wilson polynomials, Heckman-Opdam polynomials, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), vector valued spherical functions, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Representation Theory (math.RT), 0101 mathematics, Macdonald-Koornwinder polynomials, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, quantum symmetric pairs, Mathematics - Representation Theory
File Description: application/xml; application/pdf
Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/124747E11ED7A17C8EE71FE163521D8F/S0010437X05001636a.pdf/div-class-title-vector-valued-spherical-
functions -and-macdonald-koornwinder-polynomials -div.pdf
http://arxiv.org/abs/math/0311512
https://hdl.handle.net/11245/1.247722
https://dare.uva.nl/personal/pure/en/publications/vector-valued-spherical-functions -and-macdonaldkoornwinder-polynomials (c17c04e8-ef77-419e-afb8-61008c3b180e).html
https://doi.org/10.1112/S0010437X05001636
http://dare.uva.nl/document/2/42510
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2Fc17c04e8-ef77-419e-afb8-61008c3b180e
https://pure.uva.nl/ws/files/3878799/42510_oblomkov.pdf -
5
Authors: Dumitru I. Caruntu
Source: Journal of Computational and Applied Mathematics. 180:107-118
Subject Terms: Computational Mathematics, Orthogonal polynomials, Applied Mathematics, 0103 physical sciences, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), Selfadjoint differential equations, General theory of ordinary differential operators, 0101 mathematics, 01 natural sciences, Self-adjoint differential equations, Orthogonal polynomials and functions associated with root systems, Singular eigenvalue problems
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Access URL: https://zbmath.org/2173175
https://doi.org/10.1016/j.cam.2004.10.004
https://www.sciencedirect.com/science/article/abs/pii/S0377042704004807
https://core.ac.uk/display/82776619
http://ui.adsabs.harvard.edu/abs/2005JCoAM.180..107C/abstract
https://www.sciencedirect.com/science/article/pii/S0377042704004807 -
6
Authors: Jun'ichi Shiraishi
Source: Letters in Mathematical Physics. 73:71-81
Subject Terms: basic hypergeometric series, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), raising operators, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), 33D15, 81R50, Macdonald polynomials, Combinatorics (math.CO), 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Basic hypergeometric functions associated with root systems
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Access URL: http://arxiv.org/pdf/math/0503727
http://arxiv.org/abs/math/0503727
https://link.springer.com/article/10.1007/s11005-005-7648-6
https://ui.adsabs.harvard.edu/abs/2005LMaPh..73...71S/abstract
https://arxiv.org/abs/math/0503727
https://core.ac.uk/display/21931096
https://arxiv.org/pdf/math/0503727 -
7
Authors: Van Diejen, J.F.
Source: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y DesarrolloSubject Terms: Computational Mathematics, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), asymptotics, (multivariate) orthogonal polynomials, Multivariate orthogonal polynomials, Applied Mathematics, (Multivariate) Orthogonal Polynomials, 0101 mathematics, Asymptotics, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)
File Description: application/xml; 5331 bytes; image/jpeg
Access URL: http://ui.adsabs.harvard.edu/abs/2005JCoAM.178..465V/abstract
https://www.sciencedirect.com/science/article/pii/S0377042704003942
http://repositorio.conicyt.cl/handle/10533/176296
https://www.sciencedirect.com/science/article/abs/pii/S0377042704003942
http://hdl.handle.net/10533/176296
https://repositorio-qa.anid.cl/handle/10533/176296
https://hdl.handle.net/10533/176296 -
8
Authors: Van Diejen, J.F.
Source: Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
Conicyt_qa
ANID
AMERICAN JOURNAL OF MATHEMATICS
Artículos CONICYT
CONICYT Chile
instacron:CONICYTSubject Terms: 33C52, Scattering theory of linear operators, Spectral problems, spectral geometry, scattering theory on manifolds, FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Orthogonal polynomials and functions associated with root systems, Harmonic analysis on homogeneous spaces, Mathematics - Spectral Theory, conjectures, integrable systems, multi-particle scattering, 47A40, solitons, FOS: Mathematics, orthogonal polynomials, Exactly solvable models, Bethe ansatz, Spectral Theory (math.SP), Mathematical Physics, root systems, Mathematical Physics (math-ph), 81U15, algebras, Scattering theory for PDEs, Macdonald polynomials, Q-Jacobi
File Description: application/xml; 5331 bytes; image/jpeg
Access URL: http://arxiv.org/pdf/math-ph/0412097
http://arxiv.org/abs/math-ph/0412097
https://arxiv.org/abs/math-ph/0412097
https://arxiv.org/pdf/math-ph/0412097v1
https://core.ac.uk/display/46743995
https://muse.jhu.edu/article/180947/summary
https://dialnet.unirioja.es/servlet/articulo?codigo=1157611
http://ui.adsabs.harvard.edu/abs/2004math.ph..12097V/abstract
https://documat.unirioja.es/servlet/articulo?codigo=1157611
https://hdl.handle.net/10533/175918
https://repositorio-qa.anid.cl/handle/10533/175918
http://hdl.handle.net/10533/175918 -
9
Authors: Rains, Eric M.
Source: Transformation Groups. 10:63-132
Subject Terms: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), binomial formula, \(BC_n\)-symmetric interpolation polynomials, multivariable Askey-Wilson polynomials, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Macdonald polynomials, Combinatorics (math.CO), 0101 mathematics, Koornwinder polynomials, Basic hypergeometric functions associated with root systems
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10
Authors: Yuan Xu
Source: Journal of Approximation Theory. 133:1-37
Subject Terms: Mathematics(all), Numerical Analysis, \(h\)-harmonics, orthogonal polynomials of several variables, Symmetric orthogonal polynomials, h-harmonics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, General harmonic expansions, frames, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, Orthogonal polynomials of several variables, Best L2 approximation, 0101 mathematics, symmetric orthogonal polynomials, Analysis, best \(L^2\) approximation
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Access URL: https://zbmath.org/2165387
https://doi.org/10.1016/j.jat.2004.12.012
https://core.ac.uk/display/81959167
https://darkwing.uoregon.edu/~yuan/paper/Monomial.pdf
https://dblp.uni-trier.de/db/journals/jat/jat133.html#Xu05
https://www.sciencedirect.com/science/article/pii/S0021904504002199
https://pages.uoregon.edu/yuan/paper/Monomial.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1362970 -
11
Authors: Charles F. Dunkl
Source: International Mathematics Research Notices. 2005(39):2409-2436
Subject Terms: Dunkl operators, Hypergeometric functions associated with root systems, Primary 20C30, 05E10, Representations of finite symmetric groups, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, Secondary 16S32, Combinatorial aspects of representation theory, FOS: Mathematics, singular polynomials, Jack polynomials, 0101 mathematics, Representation Theory (math.RT), Murphy elements, Mathematics - Representation Theory
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12
Authors: Masahiro Kasatani
Source: International Mathematics Research Notices. 2005(28):1717-1742
Subject Terms: Symmetric functions and generalizations, symmetric polynomials, subrepresentations, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Hecke algebras and their representations, polynomial representations, double affine Hecke algebras, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, irreducible representations, 0101 mathematics, Representation Theory (math.RT), Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Mathematics - Representation Theory
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13
Authors: Gail Letzter
Source: Advances in Mathematics. 189:88-147
Subject Terms: Mathematics(all), zonal spherical function, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, Macdonald polynomial, 17B37, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Mathematics - Quantum Algebra, Zonal spherical functions, FOS: Mathematics, Quantum Algebra (math.QA), Macdonald polynomials, Quantum groups (quantized function algebras) and their representations, quantum group, Representation Theory (math.RT), 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Harmonic analysis and spherical functions, Mathematics - Representation Theory
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Access URL: http://arxiv.org/abs/math/0210447
https://zbmath.org/2119095
https://doi.org/10.1016/j.aim.2003.11.007
https://dialnet.unirioja.es/servlet/articulo?codigo=956728
https://core.ac.uk/display/82590127
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.239.8114&rep=rep1&type=pdf
https://www.sciencedirect.com/science/article/pii/S0001870803003530
http://ui.adsabs.harvard.edu/abs/2002math.....10447L/abstract -
14
Authors: Yasushi Kajihara
Source: Advances in Mathematics. 187:53-97
Subject Terms: Mathematics(all), Heine transformation, Pfaff-Saalschütz summation formula, Hypergeometric functions associated with root systems, Multiple basic hypergeometric series of type A, Gauß summation formula, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Watson type transformation, Pfaff–Saalschutz summation, basic hypergeometric series associated to root systems, Euler transformation, Macdonald polynomials, 0101 mathematics, Bailey–Jackson type transformation–summation formula, Bailey's transformation formula, Basic hypergeometric functions associated with root systems, Watson's transformation formula
File Description: application/xml
Access URL: https://zbmath.org/2093004
https://doi.org/10.1016/j.aim.2003.08.012
https://dialnet.unirioja.es/servlet/articulo?codigo=928457
https://www.sciencedirect.com/science/article/pii/S0001870803002603
https://core.ac.uk/display/82561434
https://www.infona.pl/resource/bwmeta1.element.elsevier-6c111077-163f-3382-9c84-c08a24fcdd85
https://www.sciencedirect.com/science/article/abs/pii/S0001870803002603 -
15
Authors: Alexei Oblomkov
Source: Advances in Mathematics. 186:153-180
Subject Terms: Spherical functions, Mathematics(all), The radial part of the differential operators, 0103 physical sciences, Heckman–Opdam's Jacobi polynomials, 0101 mathematics, 01 natural sciences, Orthogonal polynomials and functions associated with root systems
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16
Authors: Medhat A. Rakha
Source: Journal of Mathematical Analysis and Applications. 294:181-195
Subject Terms: Integral transformations, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), hypergeometric series very well poised on Lie algebras, q-beta integrals, Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, \(q\)-series, 0102 computer and information sciences, \(q\)-beta integrals, q-series, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), integral transformations, Hypergeometric series very well poised on Lie algebras, \(q\)-gamma functions, \(q\)-beta functions and integrals, multivariate basic hypergeometric series associated with root systems, 0101 mathematics, Analysis, Basic hypergeometric functions associated with root systems
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17
Authors: Lassalle, Michel
Contributors: Lassalle, Michel
Source: Transactions of the American Mathematical Society. 356:3455-3476
Subject Terms: Combinatorial aspects of partitions of integers, Symmetric functions and generalizations, probability distributions, Connections of hypergeometric functions with groups and algebras, and related topics, 16. Peace & justice, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, random variable, generating function, [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], FOS: Mathematics, Mathematics - Combinatorics, combinatorial coefficients, symmetric functions, Combinatorics (math.CO), Jack polynomials, 0101 mathematics, 05A10, 05A17, 05E05, 33C52, 33C80, Factorials, binomial coefficients, combinatorial functions
File Description: application/xml
Access URL: https://www.ams.org/tran/2004-356-09/S0002-9947-04-03500-7/S0002-9947-04-03500-7.pdf
http://arxiv.org/abs/math/0306222
https://www.ams.org/tran/2004-356-09/S0002-9947-04-03500-7/S0002-9947-04-03500-7.pdf
https://www.ams.org/journals/tran/2004-356-09/S0002-9947-04-03500-7/home.html
https://hal-upec-upem.archives-ouvertes.fr/hal-00622658
http://ui.adsabs.harvard.edu/abs/2003math......6222L/abstract
https://hal.science/hal-00622658v1 -
18
Authors:
Source: Commentarii Mathematici Helvetici. 79:1-24
Subject Terms: recurrence relations, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 0102 computer and information sciences, 0101 mathematics, Orthogonal polynomials (combinatorics), Pure Mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)
File Description: application/xml
Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0010-2571&vol=79&iss=1&rank=1
http://arxiv.org/abs/math/0006006
https://dialnet.unirioja.es/servlet/articulo?codigo=818365
http://www.ems-ph.org/doi/10.1007/s00014-003-0789-2
https://www.ems-ph.org/journals/show_pdf.php?issn=0010-2571&vol=79&iss=1&rank=1
https://findanexpert.unimelb.edu.au/scholarlywork/267059-pieri-type-formulas-for-the-non-symmetric-jack-polynomials
https://link.springer.com/article/10.1007/s00014-003-0789-2 -
19
Authors:
Source: COMPOSITIO MATHEMATICA
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y DesarrolloSubject Terms: Macdonald families, polynomials, determinantal formulas, root systems, Heckman-Opdam polynomials, Heckman–Opdam, generalized Haar measure, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, Heckman-Opdam generalized Jacobi polynomials, 05E35, Calogero-Suther\-land systems, Mathematics - Quantum Algebra, Heckman-Opdam families, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Macdonald polynomials, Combinatorics (math.CO), 0101 mathematics, Orthogonal polynomials (combinatorics), zonal spherical functions
File Description: application/xml; 2974 bytes; text/html
Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2A0B1365921794943D6E4BEDCBB59D74/S0010437X03000149a.pdf/div-class-title-determinantal-construction-of-
orthogonal -polynomials -associated -with-root -systems -div.pdf
http://arxiv.org/abs/math/0303263
https://www.cambridge.org/core/journals/compositio-mathematica/article/determinantal-construction-of-orthogonal -polynomials -associated -with-root -systems /2A0B1365921794943D6E4BEDCBB59D74
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2A0B1365921794943D6E4BEDCBB59D74/S0010437X03000149a.pdf/div-class-title-determinantal-construction-of-orthogonal -polynomials -associated -with-root -systems -div.pdf
https://www.arxiv-vanity.com/papers/math/0303263/
https://arxiv.org/pdf/math/0303263
https://arxiv.org/abs/math/0303263
http://ui.adsabs.harvard.edu/abs/2003math......3263V/abstract
http://hdl.handle.net/10533/175552
https://repositorio-qa.anid.cl/handle/10533/175552
https://hdl.handle.net/10533/175552 -
20
Authors: Igor Loutsenko
Source: Journal of Physics A: Mathematical and General. 37:1309-1321
Subject Terms: High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematics - Complex Variables, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), Adler-Moser polynomials, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, High Energy Physics - Theory (hep-th), Explicit solutions, first integrals of ordinary differential equations, 0103 physical sciences, Motion of charged particles, FOS: Mathematics, Complex Variables (math.CV), Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, modified rational Baker-Akhiezer functions, scaling, reparametrization and bispectrality for eigenvalues, Mathematical Physics
File Description: application/xml
Access URL: http://arxiv.org/pdf/math-ph/0304008
http://arxiv.org/abs/math-ph/0304008
https://zbmath.org/2063375
https://doi.org/10.1088/0305-4470/37/4/017
https://iopscience.iop.org/0305-4470/37/4/017
https://iopscience.iop.org/article/10.1088/0305-4470/37/4/017/meta
https://www.arxiv-vanity.com/papers/math-ph/0304008/
https://ui.adsabs.harvard.edu/abs/2004JPhA...37.1309L/abstract
https://arxiv.org/pdf/math-ph/0304008v1
https://128.84.21.199/abs/math-ph/0304008
https://arxiv.org/abs/math-ph/0304008
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