Matrix models for multilevel Heckman–Opdam and multivariate Bessel measures: Matrix models for multilevel Heckman-Opdam and multivariate Bessel measures

Συγγραφείς: Sun, Yi

Πηγή: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 61

Θεματικοί όροι: Jacobi ensemble, Random matrices (algebraic aspects), Generalized hypergeometric series, \({}_pF_q\), Probability (math.PR), FOS: Physical sciences, hypergeometric function, Connections of hypergeometric functions with groups and algebras, and related topics, Mathematical Physics (math-ph), random matrix theory, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Random matrices (probabilistic aspects), Other hypergeometric functions and integrals in several variables, 15B52 (primary), 60B20, 33C67 (secondary), Wishart ensemble, FOS: Mathematics, Random fields, Representation Theory (math.RT), Mathematics - Probability, Mathematical Physics, Mathematics - Representation Theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1609.09096
https://zbmath.org/8013054
https://doi.org/10.1214/22-aihp1296

Series identities and associated families of generating functions

Συγγραφείς: Kung-Yu Chen, Hari M. Srivastava

Πηγή: Journal of Mathematical Analysis and Applications. 311:582-599

Θεματικοί όροι: Hypergeometric functions and polynomials, Generalized hypergeometric series, \({}_pF_q\), hypergeometric functions and polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, series identities, Other special orthogonal polynomials and functions, double series identities, 01 natural sciences, Generating functions, Other hypergeometric functions and integrals in several variables, Quadratic transformations, generating functions, Pfaff–Saalschütz theorem, Whipple's transformation, 0101 mathematics, Series identities, hypergeometric functions in two variables, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2217433
https://doi.org/10.1016/j.jmaa.2005.03.030
https://www.sciencedirect.com/science/article/pii/S0022247X05001903
https://core.ac.uk/display/82178105
https://www.sciencedirect.com/science/article/abs/pii/S0022247X05001903
http://ui.adsabs.harvard.edu/abs/2005JMAA..311..582C/abstract

Bivariate hypergeometric D-modules: Bivariate hypergeometric \(D\)-modules

Συγγραφείς: Dickenstein, A., Matusevich, L.F., Sadykov, T.

Πηγή: Adv. Math. 2005;196(1):78-123
Biblioteca Digital (UBA-FCEN)
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN

Θεματικοί όροι: Mathematics(all), Overdetermined systems of PDEs with variable coefficients, 0102 computer and information sciences, 01 natural sciences, Holonomic D-module, holonomic \(D\)-modules, Other hypergeometric functions and integrals in several variables, holonomic rank, Mathematics - Algebraic Geometry, Appell, Horn and Lauricella functions, Sheaves of differential operators and their modules, \(D\)-modules, Holonomic rank, Horn systems, FOS: Mathematics, Hypergeometric function, 0101 mathematics, Horn system, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), hypergeometric functions

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/math/0310003
https://zbmath.org/2207380
https://doi.org/10.1016/j.aim.2004.08.012
https://core.ac.uk/display/82589113
https://dialnet.unirioja.es/servlet/articulo?codigo=1268660
https://www.sciencedirect.com/science/article/pii/S0001870804002828
https://www.sciencedirect.com/science/article/abs/pii/S0001870804002828
http://hdl.handle.net/20.500.12110/paper_00018708_v196_n1_p78_Dickenstein

The continuous symmetric Hahn polynomials found in Ramanujan's lost notebook

Συγγραφείς: Jaebum Sohn, Sung Geun Lim, Soon Yi Kang

Πηγή: Journal of Mathematical Analysis and Applications. 307:153-166

Θεματικοί όροι: Orthogonal polynomials, Hamburger moment problems, Continued fractions, Applied Mathematics, 05 social sciences, Integration, transformation formulas, continued fractions, Other special orthogonal polynomials and functions, Hypergeometric functions, 01 natural sciences, Other hypergeometric functions and integrals in several variables, Moment problems, Stieltjes transform, 0101 mathematics, integral formulas, orthogonal polynomials, 0503 education, Analysis, hypergeometric functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2174930
https://doi.org/10.1016/j.jmaa.2004.12.054
https://core.ac.uk/display/82276447
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04010741
https://www.sciencedirect.com/science/article/pii/S0022247X04010741
http://ui.adsabs.harvard.edu/abs/2005JMAA..307..153K/abstract
https://yonsei.pure.elsevier.com/en/publications/the-continuous-symmetric-hahn-polynomials-found-in-ramanujans-los

A unified inverse Laplace transform formula involving the product of a general class of polynomials and the Fox $H$-function: A unified inverse Laplace transform formula involving the product of a general class of polynomials and the Fox \(H\)-function

Συγγραφείς: Deepika Singh, R. C. Soni

Πηγή: Tamkang Journal of Mathematics. 36:87-92

Θεματικοί όροι: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Other hypergeometric functions and integrals in several variables, Hermite polynomials, Laplace transform, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Integral transforms of special functions, inverse Laplace transform, general polynomial, Fox \(H\)-function, Laguerre polynomials, modified Bessel function, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://journals.math.tku.edu.tw/index.php/TKJM/article/download/120/131
https://zbmath.org/2220060
http://journals.math.tku.edu.tw/index.php/TKJM/article/view/120/0

Homological methods for hypergeometric families

Συγγραφείς: Uli Walther, Ezra Miller, Laura Felicia Matusevich

Πηγή: Journal of the American Mathematical Society. 18:919-941

Θεματικοί όροι: hypergeometric system, holomorphic D-module, semigroup ring, Determinantal varieties, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 01 natural sciences, Other hypergeometric functions and integrals in several variables, Mathematics - Algebraic Geometry, Commutative rings of differential operators and their modules, Local cohomology and commutative rings, FOS: Mathematics, 0101 mathematics, Algebraic Geometry (math.AG)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.ams.org/jams/2005-18-04/S0894-0347-05-00488-1/S0894-0347-05-00488-1.pdf
http://arxiv.org/abs/math/0406383
https://zbmath.org/2199897
https://doi.org/10.1090/s0894-0347-05-00488-1
https://www.jstor.org/stable/20161262
https://www.ams.org/journals/jams/2005-18-04/S0894-0347-05-00488-1/home.html
https://www.arxiv-vanity.com/papers/math/0406383/
https://www.ams.org/jams/2005-18-04/S0894-0347-05-00488-1/S0894-0347-05-00488-1.pdf

Noncommutative Hypergeometry: Noncommutative hypergeometry

Συγγραφείς: Volkov, Alexandre

Συνεισφορές: Theoretical Physics

Πηγή: Communications in Mathematical Physics. 258:257-273

Θεματικοί όροι: Geometry of quantum groups, Other hypergeometric functions and integrals in several variables, double sine, Euler's Gamma function, \(\gamma \)-function, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Groups and algebras in quantum theory and relations with integrable systems, noncompact quantum dilogarithm, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0312084
http://arxiv.org/abs/math/0312084
https://arxiv.org/pdf/math/0312084
https://arxiv.org/abs/math/0312084
https://biblio.vub.ac.be/vubir/noncommutative-hypergeometry(c28e6101-66e3-489a-8027-860b1ca6098f).html

Some Closed-Form Evaluations of Multiple Hypergeometric and q-Hypergeometric Series: Some closed-form evaluations of multiple hypergeometric and \(q\)-hypergeometric series

Συγγραφείς: Hari M. Srivastava, Shy-Der Lin

Πηγή: Acta Applicandae Mathematicae. 86:309-327

Θεματικοί όροι: multiple hypergeometric and \(q\)-hypergeometric series, summation formulas, Other hypergeometric functions and integrals in several variables, Classical hypergeometric functions, \({}_2F_1\), Appell, Horn and Lauricella functions, Generalized hypergeometric series, \({}_pF_q\), Appel and Lauricella series, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Other basic hypergeometric functions and integrals in several variables, transformation and reduction formulas, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/article/10.1007%2Fs10440-004-7465-4
https://link.springer.com/content/pdf/10.1007/s10440-004-7465-4.pdf

Balanced Configurations of 2n + 1 Plane Vectors: Balanced configurations of \(2 n + 1\) plane vectors

Συγγραφείς: N. Ressayre

Πηγή: Journal of Algebraic Combinatorics. 21:281-287

Θεματικοί όροι: regular plane polygons, Basic linear algebra, Mathematics - Rings and Algebras, 0102 computer and information sciences, 01 natural sciences, Other hypergeometric functions and integrals in several variables, Mathematics - Algebraic Geometry, Rings and Algebras (math.RA), FOS: Mathematics, Mathematics - Combinatorics, Symmetry properties of polytopes, Combinatorics (math.CO), 0101 mathematics, Algebraic Geometry (math.AG)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1007%2Fs10801-005-6912-2.pdf
http://arxiv.org/abs/math/0206234
https://hal.archives-ouvertes.fr/hal-00122680
https://link.springer.com/article/10.1007/s10801-005-6912-2
https://paperity.org/p/6203643/balanced-configurations-of-2n-1-plane-vectors
https://link.springer.com/content/pdf/10.1007%2Fs10801-005-6912-2.pdf

Singularities of hypergeometric functions in several variables

Συγγραφείς: Mikael Passare, A. K. Tsikh, Timur Sadykov

Πηγή: Compositio Mathematica. 141:787-810

Θεματικοί όροι: nonconfluency, discriminant, supports, Bergman kernels of complex ellipsoidal domains, Ore-Sato coefficient, Gauss equation, vector differential operator, toric geometry, 01 natural sciences, hypergeometric series, fan, two-sided Abel lemma, Other hypergeometric functions and integrals in several variables, amoebas, Puiseux series solution to the Horn hypergeometric system, meromorphic nonconfluent hypergeometric functions, 0101 mathematics, Newton polytopes, Gelfand-Kapranov-Zelevinskij system, minimality, singularities of nonconfluent hypergeometric functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2183041
https://doi.org/10.1112/s0010437x04001411
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8BCF4C3A8644C42F3569E83EDCA90E1C/S0010437X04001411a.pdf/div-class-title-singularities-of-hypergeometric-functions-in-several-variables-div.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124455
https://www.cambridge.org/core/journals/compositio-mathematica/article/singularities-of-hypergeometric-functions-in-several-variables/8BCF4C3A8644C42F3569E83EDCA90E1C
http://journals.cambridge.org/abstract_S0010437X04001411

Identities for Hypergeometric Integrals of Different Dimensions: Identities for hypergeometric integrals of different dimensions

Συγγραφείς: Alexander Varchenko, Vitaly Tarasov

Πηγή: Letters in Mathematical Physics. 71:89-99

Θεματικοί όροι: hypergeometric integrals, Knizhnik-Zamolodchikov equations, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, FOS: Physical sciences, Connections of hypergeometric functions with groups and algebras, and related topics, Mathematical Physics (math-ph), 01 natural sciences, Other hypergeometric functions and integrals in several variables, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Representation Theory (math.RT), 0101 mathematics, Mathematical Physics, Mathematics - Representation Theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0305224
http://arxiv.org/abs/math/0305224
https://zbmath.org/2168123
https://doi.org/10.1007/s11005-004-6364-y
https://ui.adsabs.harvard.edu/abs/2005LMaPh..71...89T/abstract
https://link.springer.com/content/pdf/10.1007/s11005-004-6364-y.pdf
https://rd.springer.com/article/10.1007/s11005-004-6364-y
https://link.springer.com/article/10.1007/s11005-004-6364-y

A GENERALIZATION OF THE BETA INTEGRAL ARISING FROM THE KNIZHNIK-ZAMOLODCHIKOV EQUATION FOR THE VECTOR REPRESENTATIONS OF TYPES Bn, Cn AND Dn: A generalization of the beta integral arising from the Knizhnik-Zamolodchikov equation for the vector representations of types \(B_n\), \(C_n\) and \(D_n\)

Συγγραφείς: K. Mimachi, T.Takamuki

Πηγή: Kyushu Journal of Mathematics. 59:117-126

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, 4. Education, Beta integral, 0101 mathematics, 16. Peace & justice, Knizhnik-Zamolodchikov equation, Selberg integral, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.jstage.jst.go.jp/article/kyushujm/59/1/59_1_117/_pdf
https://zbmath.org/2186554
https://doi.org/10.2206/kyushujm.59.117
http://catalog.lib.kyushu-u.ac.jp/en/recordID/11723

Theta hypergeometric integrals

Συγγραφείς: Vyacheslav P. Spiridonov

Πηγή: St. Petersburg Mathematical Journal. 15:929-968

Θεματικοί όροι: Other basic hypergeometric functions and integrals in several variables, Hypergeometric functions associated with root systems, theta hypergeometric integrals, 01 natural sciences, 33Dxx, 33E20, 39A13, Other hypergeometric functions and integrals in several variables, Elliptic functions and integrals, \(q\)-gamma functions, \(q\)-beta functions and integrals, Mathematics - Classical Analysis and ODEs, 0103 physical sciences, Elliptic integrals as hypergeometric functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Jacobi theta functions, multiple hypergeometric integrals, 0101 mathematics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math/0303205v2.pdf
http://arxiv.org/abs/math/0303205
https://zbmath.org/2165587
https://doi.org/10.1090/s1061-0022-04-00839-8
https://www.ams.org/spmj/2004-15-06/S1061-0022-04-00839-8/S1061-0022-04-00839-8.pdf
https://www.ams.org/journals/spmj/2004-15-06/S1061-0022-04-00839-8/home.html
https://www.arxiv-vanity.com/papers/math/0303205/
https://arxiv.org/pdf/math/0303205
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_3124942

Hypergeometric functions over an arbitrary field: Hypergeometric functions over an arbitrary field.

Συγγραφείς: Vladimir Retakh, Mark Iosifovich Graev, I M Gel'fand

Πηγή: Russian Mathematical Surveys. 59:831-905

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, Special functions in characteristic \(p\) (gamma functions, etc.), hypergeometric function locally compact field, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Mellin transform

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2170107
https://doi.org/10.1070/rm2004v059n05abeh000771
http://ui.adsabs.harvard.edu/abs/2004RuMaS..59R...2G/abstract
https://iopscience.iop.org/article/10.1070/RM2004v059n05ABEH000771

A SUMMATION FORMULA OF6F5(1): A summation formula of \(_ 6F_ 5(1)\).

Συγγραφείς: Shaloo Malani, Arjun K. Rathie, Junesang Choi

Πηγή: Communications of the Korean Mathematical Society. 19:775-778

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, Appell, Horn and Lauricella functions, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://society.kisti.re.kr/sv/SV_svpsbs03V.do?method=download&cn1=JAKO200413842030341
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHCJ_2004_v19n4_775
https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART000927722

GENERALIZATION OF WATSON'S THEOREM FOR DOUBLE SERIES: Generalization of Watson's theorem for double series.

Συγγραφείς: Arjun K. Rathie, Yong Sup Kim, Chang Hyun Lee, Chan Bong Park

Πηγή: Communications of the Korean Mathematical Society. 19:569-576

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, Classical hypergeometric functions, \({}_2F_1\), Generalized hypergeometric series, \({}_pF_q\), Other functions defined by series and integrals, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://koreascience.or.kr:80/article/JAKO200411922639329.pdf
https://zbmath.org/2237806
https://doi.org/10.4134/ckms.2004.19.3.569
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHCJ_2004_v19n3_569

Singularity Dominated Strong Fluctuations for Some Random Matrix Averages: Singularity dominated strong fluctuations for some random matrix averages

Συγγραφείς: Forrester, PJ, Keating, JP

Πηγή: Communications in Mathematical Physics. 250:119-131

Θεματικοί όροι: Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\), Riemann and other hypotheses, Other hypergeometric functions and integrals in several variables, Random matrices (algebraic aspects), 0103 physical sciences, FOS: Physical sciences, Central limit and other weak theorems, Mathematical Physics (math-ph), 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, 01 natural sciences, Mathematical Physics

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/math-ph/0402001
http://arxiv.org/abs/math-ph/0402001
https://zbmath.org/2158333
https://doi.org/10.1007/s00220-004-1121-8
https://128.84.21.199/abs/math-ph/0402001
https://arxiv.org/pdf/math-ph/0402001
https://arxiv.org/abs/math-ph/0402001
https://link.springer.com/article/10.1007/s00220-004-1121-8
http://ui.adsabs.harvard.edu/abs/2004CMaPh.250..119F/abstract
https://www.maths.bris.ac.uk/~majpk/papers/65.pdf

Some generalizations of the Hadamard expansion for the modified Bessel function: Some generalizations of the Hadamard expansion for the modified Bessel function.

Συγγραφείς: S. Yang, Hari M. Srivastava

Πηγή: Applied Mathematics Letters. 17:591-596

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, Generalized hypergeometric series, \({}_pF_q\), Applied Mathematics, incomplete gamma function, Bessel and Airy functions, cylinder functions, \({}_0F_1\), 0101 mathematics, Kampé de Fériet functions, 01 natural sciences, Hadamard expansion modified Bessel function, hypergeometric functions

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2138628
https://doi.org/10.1016/s0893-9659(04)90131-0
https://www.sciencedirect.com/science/article/abs/pii/S0893965904901310
https://dblp.uni-trier.de/db/journals/appml/appml17.html#YangS04

ON THE GENERALIZED GAUSS HYPERGEOMETRIC SYSTEM OF THREE VARIABLES: On the generalized Gauss hypergeometric system of three variables

Συγγραφείς: Katsushige Higashi, Takeshi Sasaki

Πηγή: Kyushu Journal of Mathematics. 58:105-120

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, Pfaffian system, Jack polynomial, 0101 mathematics, generalized Gauss hypergeometric function, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://www.jstage.jst.go.jp/article/kyushujm/58/1/58_1_105/_pdf

Planar Configurations of Lattice Vectors and GKZ-Rational Toric Fourfolds in ℙ6: Planar configurations of lattice vectors and GKZ-rational toric fourfolds in \(\mathbb P^6\)

Συγγραφείς: Cattani, E, Dickenstein, A

Πηγή: Journal of Algebraic Combinatorics. 19:47-65

Θεματικοί όροι: Other hypergeometric functions and integrals in several variables, balanced configurations, A-hypergeometric functions, GKZ-rational configurations, Residues for several complex variables, \(A\)-hpergeometric functions, 0102 computer and information sciences, 0101 mathematics, Combinatorial aspects of matroids and geometric lattices, Algebraic Geometry, Cayley configurations, 01 natural sciences, toric residues

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: https://link.springer.com/content/pdf/10.1023%2FB%3AJACO.0000022566.81227.03.pdf
https://works.bepress.com/eduardo_cattani/5/
https://scholarworks.umass.edu/cgi/viewcontent.cgi?article=1238&context=math_faculty_pubs
https://scholarworks.umass.edu/math_faculty_pubs/239/
https://works.bepress.com/eduardo_cattani/30/download/
https://people.math.umass.edu/~cattani/cd_jac.pdf
https://paperity.org/p/6134219/planar-configurations-of-lattice-vectors-and-gkz-rational-toric-fourfolds-in-p6