Výsledky vyhledávání - Multivariable basic hypergeometric functions
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Autoři: Stokman, Jasper V.
Zdroj: Transactions of the American Mathematical Society, 2000 Apr 01. 352(4), 1527-1579.
Přístupová URL adresa: https://www.jstor.org/stable/118075
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2
Autoři:
Zdroj: Methods and Applications of Analysis. 6:147-164
Témata: Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, transformation formulas, Quantum Algebra (math.QA), Macdonald polynomials, basic hypergeometric series, 0102 computer and information sciences, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 01 natural sciences
Popis souboru: application/xml
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3
Autoři:
Zdroj: Journal of Physics A: Mathematical and General. 27:6781-6797
Témata: 0103 physical sciences, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences
Popis souboru: application/xml
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4
Autoři:
Zdroj: Acta Mathematica Universitatis Comenianae. 2009, Vol. 78 Issue 2, p187-195. 9p.
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Autoři: Jasper V. Stokman
Zdroj: Transactions of the American Mathematical Society. 352:1527-1579
Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), multivariable basic hypergeometric orthogonal polynomials, 33D45 (Primary) 33D25 (Secondary), 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Mathematics - Quantum Algebra, 0103 physical sciences, multivariable \(q\)-Racah polynomials, FOS: Mathematics, Quantum Algebra (math.QA), multivariable big and little \(q\)-Jacobi polynomials, residue calculus, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Koornwinder polynomials, \(q\)-Selberg type integrals
Popis souboru: application/xml
Přístupová URL adresa: https://www.ams.org/tran/2000-352-04/S0002-9947-99-02551-9/S0002-9947-99-02551-9.pdf
http://arxiv.org/abs/q-alg/9707005
https://hdl.handle.net/11245/1.175209
https://dare.uva.nl/personal/pure/en/publications/on-bc-type-basic -hypergeometric -orthogonal-polynomials(fa69a2cd-4c80-4cb9-a16c-db78996c4c26).html
https://doi.org/10.1090/S0002-9947-99-02551-9
https://www.ams.org/journals/tran/2000-352-04/S0002-9947-99-02551-9/home.html
http://ui.adsabs.harvard.edu/abs/1997q.alg.....7005S/abstract
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2Ffa69a2cd-4c80-4cb9-a16c-db78996c4c26 -
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Autoři:
Zdroj: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5207-5213, 7p
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Autoři: Hjalmar Rosengren
Zdroj: Advances in Mathematics. 181:417-447
Témata: 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
Popis souboru: application/xml
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Autoři: Hjalmar Rosengren
Zdroj: Constructive Approximation. 20:525-548
Témata: 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
Popis souboru: application/xml
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Autoři: Hjalmar Rosengren
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 28, Iss 6, Pp 331-358 (2001)
Témata: Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable, 0103 physical sciences, QA1-939, Quantum groups (quantized enveloping algebras) and related deformations, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, Mathematics
Popis souboru: application/xml
Přístupová URL adresa: http://downloads.hindawi.com/journals/ijmms/2001/412685.pdf
https://doaj.org/article/1e65699da09b4274a14fb0fe306d4424
http://emis.maths.adelaide.edu.au/journals/HOA/IJMMS/28/6331.pdf
http://www.emis.de/journals/HOA/IJMMS/Volume28_6/412685.pdf
https://downloads.hindawi.com/journals/ijmms/2001/412685.pdf
https://www.hindawi.com/journals/ijmms/2001/412685/ -
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Autoři:
Zdroj: Discrete Mathematics. 204:281-317
Témata: Unitary groups \(U(n)\), \(q\)-Whipple transformations, Other basic hypergeometric functions and integrals in several variables, Dihedral group symmetries, 01 natural sciences, η-functions, Very-well-poised on unitary groups U(n + 1), U(n + 1) q-Whipple transformations, Theoretical Computer Science, \(\eta\)-functions, dihedral group symmetries, Algebraic combinatorics, \(q\)-calculus and related topics, Discrete Mathematics and Combinatorics, Multiple basic hypergeometric series, 0101 mathematics, Macdonald identities, Combinatorial identities, bijective combinatorics
Popis souboru: application/xml
Přístupová URL adresa: https://zbmath.org/1331477
https://doi.org/10.1016/s0012-365x(98)00375-6
https://dblp.uni-trier.de/db/journals/dm/dm204.html#LeiningerM99
https://doi.org/10.1016/S0012-365X(98)00375-6
https://www.sciencedirect.com/science/article/pii/S0012365X98003756
https://www.sciencedirect.com/science/article/abs/pii/S0012365X98003756 -
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Autoři:
Zdroj: Indagationes Mathematicae. 14:483-513
Témata: 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
Popis souboru: application/xml
Přístupová URL adresa: 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 -
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Autoři:
Zdroj: Pacific Journal of Mathematics. 194:19-41
Témata: Carlitz polynomials, Dunkl operators, Hecke algebra, Al-Salam polynomials, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), non-symmetric Macdonald polynomial, 0101 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.), Hecke algebras and their representations
Popis souboru: application/xml
Přístupová URL adresa: http://msp.org/pjm/2000/194-1/pjm-v194-n1-p02-s.pdf
http://arxiv.org/abs/q-alg/9710036
https://zbmath.org/1537827
https://doi.org/10.2140/pjm.2000.194.19
https://msp.org/pjm/2000/194-1/pjm-v194-n1-p02-s.pdf
https://core.ac.uk/display/101581506
https://findanexpert.unimelb.edu.au/scholarlywork/1252270-isomorphisms-of-type-a-affine-hecke-algebras-and-multivariable -orthogonal-polynomials
https://msp.org/pjm/2000/194-1/p02.xhtml -
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Autoři: a další
Zdroj: Nuclear Physics B. 571:632-648
Témata: Basic hypergeometric functions, Many-body theory, quantum Hall effect, Lie algebras and Lie superalgebras, Groups and algebras in quantum theory, 0101 mathematics, Macdonald-Koornwinder polynomials, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)
Popis souboru: application/xml
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Autoři: Stokman, J.V.
Zdroj: SIAM Journal on Mathematical Analysis. 28:452-480
Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, \(q\)-Jacobi polynomials, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 01 natural sciences, big \(q\)-polynomials, Selberg's beta integrals
Popis souboru: application/xml; application/pdf
Přístupová URL adresa: https://pure.uva.nl/ws/files/3034119/3006_28652y.pdf
https://dare.uva.nl/personal/pure/en/publications/multivariable -big-and-little-qjacobi-polynomials(9e08a5c6-cc16-4b2b-b634-1cb7e2605b58).html
https://hdl.handle.net/11245/1.136481
https://doi.org/10.1137/S0036141095287192
https://pure.uva.nl/ws/files/3034119/3006_28652y.pdf
http://dare.uva.nl/document/2/3006
https://locus.siam.org/doi/abs/10.1137/S0036141095287192
https://epubs.siam.org/doi/abs/10.1137/S0036141095287192?journalCode=sjmaah -
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Autoři: Stokman, J.V.
Zdroj: The Ramanujan Journal. 1:275-297
Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, multi-variable, orthogonality measure, Basic hypergeometric integrals and functions defined by them, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics
Popis souboru: application/xml; application/pdf
Přístupová URL adresa: https://zbmath.org/1185668
https://doi.org/10.1023/a:1009757113226
https://hdl.handle.net/11245/1.427664
https://dare.uva.nl/personal/pure/en/publications/multivariable -bc-type-askeywilson-polynomials-with-partly-discrete-orthogonality-measure(188d9ccb-674b-4f79-9613-9ba8079dd0b7).html
https://dare.uva.nl/record/1/427664
https://link.springer.com/content/pdf/10.1023/A:1009757113226.pdf
https://pure.uva.nl/ws/files/2114419/29854_134582y.pdf
https://link.springer.com/article/10.1023/A%3A1009757113226
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F188d9ccb-674b-4f79-9613-9ba8079dd0b7 -
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Autoři:
Zdroj: Canadian Journal of Mathematics. 49:374-405
Témata: little \(q\)-Jacobi polynomials, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, selfadjoint, triangular opertors, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, \(\text{BC}_ n\) type polynomials, big \(q\)-Jacobi polynomials, generalized Jacobi polynomials, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 01 natural sciences
Popis souboru: application/xml
Přístupová URL adresa: https://zbmath.org/1044205
https://doi.org/10.4153/cjm-1997-019-9
https://hdl.handle.net/11245/1.136483
https://dare.uva.nl/personal/pure/en/publications/limit-transitions-for-bc-type-multivariable -orthogonal-polynomials(45bd2b89-b5b7-431c-b54e-4efb57efbc03).html
https://doi.org/10.4153/CJM-1997-019-9
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F45bd2b89-b5b7-431c-b54e-4efb57efbc03
https://cms.math.ca/10.4153/CJM-1997-019-9
https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/limit-transitions-for-bc-type-multivariable -orthogonal-polynomials/DCCE9882AF05D422EF350D08C911648A -
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Autoři: J. F. van Diejen
Zdroj: Journal of Physics A: Mathematical and General. 28:L369-L374
Témata: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Hahn polynomials, Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 0103 physical sciences, FOS: Physical sciences, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, Wilson polynomials, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 01 natural sciences, Additive difference equations
Popis souboru: application/xml
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Autoři:
Zdroj: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5165-5171, 7p
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Autoři: Schlosser, M.J.
Zdroj: Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 056 (2007)
Témata: 1010 Mathematics, 1010 Mathematik, $A_{n-1}$ series, FOS: Physical sciences, basic hypergeometric series, Mathematical Physics (math-ph), 01 natural sciences, matrix inversion, recursion formula, 33D52 (Primary) 15A09, 33D67 (Secondary), Pieri formula, Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Macdonald polynomials, Jackson's ${}_8phi_7$ summation, Combinatorics (math.CO), 0101 mathematics, ${}_6phi_5$ summation, Mathematics, Mathematical Physics
Přístupová URL adresa: http://www.emis.de/journals/SIGMA/2007/056/sigma07-056.pdf
http://arxiv.org/abs/math/0611639
https://doaj.org/article/338ca04bfd094c04a6729c0a40741e10
https://ucrisportal.univie.ac.at/de/publications/9b04deb1-0f5d-4da4-8a05-cb70d421cc99
http://www.emis.de/journals/SIGMA/2007/056/
https://arxiv.org/abs/math.CO/0611639
https://arxiv.org/pdf/math/0611639
http://ui.adsabs.harvard.edu/abs/2007SIGMA...3..056S/abstract
http://dspace.nbuv.gov.ua/handle/123456789/147804 -
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Autoři: Rains, Eric M.
Zdroj: Transformation Groups. 10:63-132
Témata: 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
Popis souboru: application/xml
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