Search Results - "Basic hypergeometric functions associated with root systems"
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1
Authors: Milne, Stephen C.
Source: Developments in Mathematics ISBN: 9781441952134
Subject Terms: Mathematics - Number Theory, Other basic hypergeometric functions and integrals in several variables, Exact enumeration problems, generating functions, 0102 computer and information sciences, 01 natural sciences, Elliptic functions and integrals, Binomial coefficients, factorials, \(q\)-identities, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Theta series, Weil representation, theta correspondences, Number Theory (math.NT), 0101 mathematics, Sums of squares and representations by other particular quadratic forms, Basic hypergeometric functions associated with root systems
File Description: application/xml
Access URL: http://arxiv.org/abs/math/0008068
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2
Authors:
Source: Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
RAMANUJAN JOURNAL
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANIDSubject Terms: elliptic gamma functions, 33D99, 33E20, 01 natural sciences, \(q\)-gamma functions, \(q\)-beta functions and integrals, Bibasic functions and multiple bases, Mathematics - Classical Analysis and ODEs, 0103 physical sciences, Jacobi forms, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, elliptic hypergeometric integrals, Basic hypergeometric functions associated with root systems, beta integrals
File Description: application/xml; 2974 bytes; text/html
Access URL: http://arxiv.org/pdf/math/0309279
http://arxiv.org/abs/math/0309279
https://arxiv.org/pdf/math/0309279.pdf
http://core.ac.uk/display/2573348
https://arxiv.org/abs/math/0309279
https://link.springer.com/article/10.1007/s11139-005-4846-x
http://ui.adsabs.harvard.edu/abs/2003math......9279V/abstract
https://link.springer.com/content/pdf/10.1007/s11139-005-4846-x.pdf
https://hdl.handle.net/10533/176248
http://hdl.handle.net/10533/176248
https://repositorio-qa.anid.cl/handle/10533/176248 -
3
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
File Description: application/xml
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 -
4
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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5
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 -
6
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
File Description: application/xml
Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X04001246
https://squ.pure.elsevier.com/en/publications/multivariate-basic -hypergeometric -series-associated -to-root -syste
https://core.ac.uk/display/82398993
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04001246 -
7
Authors: De La Maza, A.C.
Source: Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANIDSubject Terms: 0101 mathematics, Trigonometric and exponential sums (general theory), 01 natural sciences, Basic hypergeometric functions associated with root systems, Combinatorial identities, bijective combinatorics
File Description: application/xml; 2648 bytes; text/html
Access URL: https://www.ams.org/proc/2004-132-07/S0002-9939-04-07305-8/S0002-9939-04-07305-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=921180
https://www.jstor.org/stable/4097184
https://www.ams.org/proc/2004-132-07/S0002-9939-04-07305-8/S0002-9939-04-07305-8.pdf
https://www.ams.org/journals/proc/2004-132-07/S0002-9939-04-07305-8/home.html
https://documat.unirioja.es/servlet/articulo?codigo=921180
https://hdl.handle.net/10533/175401
http://hdl.handle.net/10533/175401
https://repositorio-qa.anid.cl/handle/10533/175401 -
8
Authors: Hjalmar Rosengren
Source: Advances in Mathematics. 181:417-447
Subject Terms: Mathematics(all), Multivariable Bailey transformation, 33D67, 11F50, Elliptic hypergeometric series, 01 natural sciences, Jackson summation, hypergeometric series on root systems, Multivariable Jackson summation, Mathematics - Classical Analysis and ODEs, Bailey transforms, Hypergeometric series on root systems, Mathematics - Quantum Algebra, 0103 physical sciences, Jacobi forms, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), elliptic hypergeometric series, 0101 mathematics, Basic hypergeometric functions associated with root systems
File Description: application/xml
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9
Authors:
Source: Indagationes Mathematicae. 14:483-513
Subject Terms: 1010 Mathematics, Mathematics(all), 1010 Mathematik, basic hypergeometric series, 01 natural sciences, \(q\)-gamma functions, \(q\)-beta functions and integrals, Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), 33D67 (Primary) 05A30, 33D05 (Secondary), 0101 mathematics, Basic hypergeometric functions associated with root systems
File Description: application/xml
Access URL: http://arxiv.org/abs/math/0304249
https://zbmath.org/2077016
https://doi.org/10.1016/s0019-3577(03)90058-9
https://ucrisportal.univie.ac.at/de/publications/d803c47c-5ec9-4121-9077-521d66aca8b2
https://research.chalmers.se/en/publication/102509
https://www.sciencedirect.com/science/article/pii/S0019357703900589
https://www.arxiv-vanity.com/papers/math/0304249/
https://www.sciencedirect.com/science/article/abs/pii/S0019357703900589 -
10
Authors: et al.
Contributors: et al.
Source: idUS. Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
instnameSubject Terms: Mathematics(all), Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), root systems, Hypergeometric functions associated with root systems, basic hypergeometric series, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), q-polynomials, 0103 physical sciences, Dunkl-Cherednik operators, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, \(q\)-polynomials, Basic hypergeometric functions associated with root systems, hypergeometric functions
File Description: application/pdf; application/xml
Access URL: https://idus.us.es/xmlui/handle/11441/41721
http://hdl.handle.net/11441/41721
https://idus.us.es/handle/11441/41721
https://zbmath.org/2077005
https://doi.org/10.1016/s0019-3577(03)90047-4
https://www.sciencedirect.com/science/article/pii/S0019357703900474
https://idus.us.es/bitstream/11441/41721/1/Some%20limit%20relations%20in%20the%20A1%20tableau%20of%20Dunkl-Cherednik%20operators.pdf
https://idus.us.es/handle/11441/41721
https://www.sciencedirect.com/science/article/abs/pii/S0019357703900474
http://hera.ugr.es/doi/15059510.pdf -
11
Authors:
Source: Indagationes Mathematicae. 14:395-421
Subject Terms: duality transformation, Mathematics(all), Cauchy determinant formula, 01 natural sciences, Other hypergeometric functions and integrals in several variables, very well-poised multiple hypergeometric series, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, 0103 physical sciences, Bailey transformation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, multiple elliptic hypergeometric series, Basic hypergeometric functions associated with root systems
File Description: application/xml
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12
Authors: Michael J. Schlosser
Source: Journal of Computational and Applied Mathematics. 160:283-296
Subject Terms: 1010 Mathematics, 1010 Mathematik, multiple \(q\)-integrals, \(q\)-series, q-series, 01 natural sciences, Nonterminating 3φ2 summation, root system \(C_r\), Cr series, \(q\)-gamma functions, \(q\)-beta functions and integrals, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Sp(r) series, Quantum Algebra (math.QA), 0101 mathematics, Ar series, Basic hypergeometric functions associated with root systems, U(n) series, Applied Mathematics, determinant method, Computational Mathematics, Nonterminating 8φ7 summation, nonterminating \(_8\phi_7\) summation, Mathematics - Classical Analysis and ODEs, Multiple q-integrals, 33D67 (Primary) 05A30, 33D05 (Secondary)
File Description: application/xml
Access URL: http://arxiv.org/abs/math/0211151
https://zbmath.org/2006435
https://doi.org/10.1016/s0377-0427(03)00632-0
http://arxiv.org/pdf/math/0211151.pdf
https://arxiv.org/abs/math/0211151
https://www.sciencedirect.com/science/article/abs/pii/S0377042703006320
https://www.sciencedirect.com/science/article/pii/S0377042703006320
https://ui.adsabs.harvard.edu/abs/2003JCoAM.160..283S/abstract -
13
Authors: Hjalmar Rosengren
Source: Constructive Approximation. 20:525-548
Subject Terms: hypergeometric series on root systems, 33D15, 33D67, Karlsson-Minton-type hypergeometric series, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, 01 natural sciences, Basic hypergeometric functions associated with root systems
File Description: application/xml
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14
Authors: Hjalmar Rosengren
Source: Journal of Mathematical Analysis and Applications. 281:332-345
Subject Terms: Mathematics - Classical Analysis and ODEs, Applied Mathematics, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33D67, basic hypergeometric series, 0101 mathematics, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Analysis, Basic hypergeometric functions associated with root systems
File Description: application/xml
Access URL: http://arxiv.org/abs/math/0205108
https://zbmath.org/1956865
https://doi.org/10.1016/s0022-247x(03)00103-3
https://www.sciencedirect.com/science/article/abs/pii/S0022247X03001033
https://www.sciencedirect.com/science/article/pii/S0022247X03001033
https://research.chalmers.se/en/publication/102506 -
15
Authors: Tadayoshi Takebayashi
Source: Journal of Algebraic Combinatorics. 17:211-223
Subject Terms: Generators, relations, and presentations of groups, Reflection and Coxeter groups (group-theoretic aspects), elliptic root systems, 0101 mathematics, elliptic Weyl groups, Poincaré series, 01 natural sciences, Basic hypergeometric functions associated with root systems
File Description: application/xml
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16
Authors: et al.
Source: Journal of Physics A: Mathematical and General. 36:L263-L272
Subject Terms: Painlevé-type functions, Nonlinear Sciences - Exactly Solvable and Integrable Systems, elliptic Painlevé equation, Multiplicative and other generalized difference equations, non-autonomous deformation, FOS: Physical sciences, 01 natural sciences, Birational automorphisms, Cremona group and generalizations, Mathematics - Quantum Algebra, 0103 physical sciences, Painlevé and other special ordinary differential equations in the complex domain, classification, hierarchies, elliptic curves, FOS: Mathematics, Elliptic curves, elliptic hypergeometric function, Quantum Algebra (math.QA), Discrete version of topics in analysis, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, Basic hypergeometric functions associated with root systems
File Description: application/xml
Access URL: http://arxiv.org/abs/nlin/0303032
http://iopscience.iop.org/article/10.1088/0305-4470/36/17/102/pdf
https://ui.adsabs.harvard.edu/abs/2003JPhA...36L.263K/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/36/17/102/pdf
https://kyushu-u.pure.elsevier.com/ja/publications/10e9-solution-to-the-elliptic-painlev%C3%A9-equation
https://iopscience.iop.org/article/10.1088/0305-4470/36/17/102 -
17
Authors: Masahiko Ito
Source: Compositio Mathematica. 136(2):209-216
Subject Terms: Jackson integrals, non-reduced root system, Bailey's very-well-poised \(_6\psi _6\) sum, van Diejen's \(BC_n\)-type sum, Gustafson's \(C_n\)-type sum, Basic hypergeometric functions associated with root systems
File Description: application/xml
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18
Authors: Michael J. Schlosser
Source: Constructive Approximation. 19:163-178
Subject Terms: 1010 Mathematics, 33D15, 33D67, 1010 Mathematik, \(q\)-series, basic hypergeometric series, \(U(r)\) series, \(_8\psi_8\) summation, 01 natural sciences, \(_6\phi_5\) summation, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Mathematics - Classical Analysis and ODEs, \(A_r\) series, bilateral series, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), 0101 mathematics, Basic hypergeometric functions associated with root systems
File Description: application/xml
Access URL: http://arxiv.org/pdf/math/0103024
http://arxiv.org/abs/math/0103024
https://zbmath.org/1903774
https://doi.org/10.1007/s00365-001-0016-6
https://ucrisportal.univie.ac.at/de/publications/348d34a7-2ebf-4d6f-a128-df0562ad5534
http://ui.adsabs.harvard.edu/abs/2001math......3024S/abstract
https://link.springer.com/article/10.1007/s00365-001-0016-6
https://arxiv.org/pdf/math/0103024v1 -
19
Authors:
Source: International Journal of Mathematics and Mathematical Sciences, Vol 2003, Iss 67, Pp 4241-4248 (2003)
Subject Terms: Basic hypergeometric functions in one variable, \({}_r\phi_s\), QA1-939, 0101 mathematics, 01 natural sciences, Mathematics, Basic hypergeometric functions associated with root systems
File Description: application/xml
Access URL: http://downloads.hindawi.com/journals/ijmms/2003/709476.pdf
https://doaj.org/article/e407503974e04b3089c936304aff5241
http://www.mat.uc.pt/preprints/ps/p0209.pdf
https://www.emis.de/journals/HOA/IJMMS/Volume2003_67/709476.pdf
https://estudogeral.sib.uc.pt/bitstream/10316/11450/1/The%20roots%20of%20the%20third%20Jackson%20q-Bessel%20function.pdf
https://downloads.hindawi.com/journals/ijmms/2003/709476.pdf
https://estudogeral.sib.uc.pt/handle/10316/11450
https://www.hindawi.com/journals/ijmms/2003/709476/
https://hdl.handle.net/10316/11450
https://hdl.handle.net/10316/110959 -
20
Authors: Warnaar, SO
Source: Constructive Approximation. 18:479-502
Subject Terms: Lattices and Combinatorics, q-analog, bailey, 0102 computer and information sciences, 01 natural sciences, Mathematical Sciences, q-lagrange inversion, 0101 Pure Mathematics, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Mathematics - Quantum Algebra, FOS: Mathematics, Mathematical Logic, Mathematics - Combinatorics, Quantum Algebra (math.QA), elliptic hypergeometric series, 0101 mathematics, Determinants, Basic hypergeometric functions associated with root systems, poised (10)PHI(9) transformations, Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable, U(N), combinatorial identities, Elliptic functions and integrals, \(q\)-calculus and related topics, Set Theory, Combinatorics (math.CO), elliptic functions, elliptic hypergeomeytric series, Primary 33D15, 33D67, 33E05, Secondary 05A30
File Description: application/xml; application/pdf
Access URL: http://arxiv.org/pdf/math/0001006
http://arxiv.org/abs/math/0001006
https://zbmath.org/1885732
https://doi.org/10.1007/s00365-002-0501-6
https://ui.adsabs.harvard.edu/abs/2000math......1006W/abstract
https://arxiv.org/pdf/math/0001006
https://arxiv.org/abs/math/0001006
https://espace.library.uq.edu.au/view/UQ:188975
https://link.springer.com/article/10.1007/s00365-002-0501-6
https://minerva-access.unimelb.edu.au/handle/11343/26188
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