Výsledky vyhľadávania - "Other hypergeometric functions and integrals in several variables"

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

Autori: Sun, Yi

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Kung-Yu Chen Hari M. Srivastava

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

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

Zdroj: 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

Predmety: 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

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: 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

Autori: Jaebum Sohn Sung Geun Lim Soon Yi Kang

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Deepika Singh R. C. Soni

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Uli Walther Ezra Miller Laura Felicia Matusevich

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

Predmety: 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)

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Volkov, Alexandre Theoretical Physics

Prispievatelia: Volkov, Alexandre Theoretical Physics

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Hari M. Srivastava Shy-Der Lin

Zdroj: Acta Applicandae Mathematicae. 86:309-327

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: N. Ressayre

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

Predmety: 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)

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Mikael Passare A. K. Tsikh Timur Sadykov

Zdroj: Compositio Mathematica. 141:787-810

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Alexander Varchenko Vitaly Tarasov

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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 \(D_n\)

Autori: K. Mimachi T.Takamuki

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Vyacheslav P. Spiridonov

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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.

Autori: Vladimir Retakh Mark Iosifovich Graev I M Gel'fand

Zdroj: Russian Mathematical Surveys. 59:831-905

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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 \(_ 6F_ 5(1)\).

Autori: Shaloo Malani Arjun K. Rathie Junesang Choi

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

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

Popis súboru: application/xml

Prístupová URL adresa: 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.

Autori: Arjun K. Rathie Yong Sup Kim Chang Hyun Lee a ďalší

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Forrester, PJ Keating, JP

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

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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.

Autori: S. Yang Hari M. Srivastava

Zdroj: Applied Mathematics Letters. 17:591-596

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

Autori: Katsushige Higashi Takeshi Sasaki

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

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

Popis súboru: application/xml

Prístupová URL adresa: 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 \(\mathbb P^6\)

Autori: Cattani, E Dickenstein, A

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

Predmety: 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

Popis súboru: application/xml; application/pdf

Prístupová URL adresa: 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