Výsledky vyhledávání - Multivariable basic hypergeometric functions

On BC Type Basic Hypergeometric Orthogonal Polynomials

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

Transformation formulas for multivariable basic hypergeometric series

Autoři: T. H. Baker P. J. Forrester

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

Přístupová URL adresa: http://www.intlpress.com/site/pub/files/_fulltext/journals/maa/1999/0006/0002/MAA-1999-0006-0002-a002.pdf
http://arxiv.org/abs/math/9803146
https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/1999/0006/0002/MAA-1999-0006-0002-a002.pdf

A quantum algebra approach to basic multivariable special functions

Autoři: Roberto Floreanini Luc Vinet L Lapointe

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

Přístupová URL adresa: https://iopscience.iop.org/article/10.1088/0305-4470/27/20/016/meta
http://ui.adsabs.harvard.edu/abs/1994JPhA...27.6781F/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/27/20/016/pdf
http://iopscience.iop.org/article/10.1088/0305-4470/27/20/016/pdf

ON CERTAIN OPERATIONAL FORMULA FOR MULTIVARIABLE BASIC HYPERGEOMETRIC FUNCTIONS.

Autoři: Purohit, S. D. Raina, R. K.

Zdroj: Acta Mathematica Universitatis Comenianae. 2009, Vol. 78 Issue 2, p187-195. 9p.

Témata: *HYPERGEOMETRIC functions, *RIEMANN integral, *FRACTIONAL integrals, *ANALYTIC functions, *CALCULUS

On $BC$ type basic hypergeometric orthogonal polynomials: On \(BC\) type basic hypergeometric orthogonal polynomials

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

A Study To Investigate One-Variable Feyman Diagrams Based On Differential Reduction Of Hypergeometric Functions.

Autoři: Xing Kongduo Midhunchakkaravarthy

Zdroj: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5207-5213, 7p

Témata: MATHEMATICAL transformations, QUANTUM field theory, FEYNMAN integrals, SCATTERING amplitude (Physics), MATHEMATICAL physics

Elliptic hypergeometric series on root systems: Elliptic hypergeometric series on root systems.

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

Přístupová URL adresa: http://arxiv.org/abs/math/0207046
https://research.chalmers.se/en/publication/23706
https://www.sciencedirect.com/science/article/abs/pii/S0001870803000719
https://www.sciencedirect.com/science/article/pii/S0001870803000719

Reduction Formulas for Karlsson–Minton-Type Hypergeometric Functions: Reduction formulas for Karlsson-Minton-type hypergeometric functions

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

Přístupová URL adresa: http://arxiv.org/pdf/math/0202232v3.pdf
http://arxiv.org/abs/math/0202232
https://zbmath.org/2132294
https://doi.org/10.1007/s00365-003-0541-6
https://link.springer.com/article/10.1007/s00365-003-0541-6
https://research.chalmers.se/en/publication/23705

Multivariable q‐Hahn polynomials as coupling coefficients for quantum algebra representations: Multivariable \(q\)-Hahn polynomials as coupling coefficients for quantum algebra representations

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/

Expansions for (q)∞n2+2n and basic hypergeometric series in U(n): Expansions for \((q)_\infty^{n^2+2n}\) and basic hypergeometric series in \(U(n)\)

Autoři: Stephen C. Milne Verne E. Leininger

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

Summations and transformations for multiple basic and elliptic hypergeometric series by determinant evaluations

Autoři: Michael J. Schlosser Hjalmar Rosengren

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

Isomorphisms of type A affine Hecke algebras and multivariable orthogonal polynomials: Isomorphisms of type \(A\) affine Hecke algebras and multivariable orthogonal polynomials

Autoři: Peter J. Forrester T. H. Baker

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

Rodrigues formulas for the non-symmetric multivariable polynomials associated with the BCN-type root system: Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system

Autoři: Miki Wadati Akinori Nishino Hideaki Ujino 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

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2000NuPhB.571..632N/abstract
https://www.sciencedirect.com/science/article/pii/S0550321399007610

Multivariable Big and Little q-Jacobi Polynomials: Multivariable big and little \(q\)-Jacobi polynomials

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

Multivariable BC Type Askey-Wilson Polynomials With Partly Discrete Orthogonality Measure: Multivariable BC type Askey-Wilson polynomials with partly discrete orthogonality measure

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

Limit Transitions for BC Type Multivariable Orthogonal Polynomials: Limit transitions for BC type multivariable orthogonal polynomials

Autoři: Stokman, J.V. Koornwinder, T.H.

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

Multivariable continuous Hahn and Wilson polynomials related to integrable difference systems

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

Přístupová URL adresa: http://arxiv.org/pdf/solv-int/9507002
http://arxiv.org/abs/solv-int/9507002
http://ui.adsabs.harvard.edu/abs/1995JPhA...28L.369V/abstract
https://arxiv.org/pdf/solv-int/9507002v1
https://arxiv.org/abs/solv-int/9507002

A Study To Examine Single-Variable Feyman Diagrams Utilising Differential Reduction Of Hypergeometric Functions.

Autoři: Xing Kongduo Midhunchakkaravarthy

Zdroj: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5165-5171, 7p

Témata: MATHEMATICAL transformations, QUANTUM field theory, FEYNMAN integrals, SCATTERING amplitude (Physics), MATHEMATICAL physics

Macdonald Polynomials and Multivariable Basic Hypergeometric Series

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

BCn-symmetric polynomials: BC\(_n\)-symmetric polynomials

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

Přístupová URL adresa: https://authors.library.caltech.edu/81978/2/0112035.pdf
http://arxiv.org/abs/math/0112035
https://link.springer.com/article/10.1007/s00031-005-1003-y
https://link.springer.com/content/pdf/10.1007/s00031-005-1003-y.pdf