Suchergebnisse - hypergeometric functions and integrals in several variables

Two New Degenerate Hypergeometric Functions of Several Variables and Integral Equations Containing These Functions: Two new degenerate hypergeometric functions of several variables and integral equations containing these functions

Autoren: V. I. Khudozhnikov

Quelle: Differential Equations. 39:881-891

Schlagwörter: Other hypergeometric functions and integrals in several variables, Appell, Horn and Lauricella functions, Volterra integral equations, 0103 physical sciences, 0101 mathematics, 01 natural sciences, hypergeometric functions, Lauricella functions

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/B%3ADIEQ.0000008415.44977.30

Properties of Some Families of Hypergeometric Orthogonal Polynomials in Several Variables

Autoren: Van Diejen, J. F.

Quelle: Transactions of the American Mathematical Society, 1999 Jan 01. 351(1), 233-270.

Zugangs-URL: https://www.jstor.org/stable/117896

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

Autoren: Xing Kongduo Midhunchakkaravarthy

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

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

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

Autoren: Xing Kongduo Midhunchakkaravarthy

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

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

Singularities of hypergeometric functions in several variables

Autoren: Mikael Passare A. K. Tsikh Timur Sadykov

Quelle: Compositio Mathematica. 141:787-810

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Fractional Derivatives of Certain Generalized Hypergeometric Functions of Several Variables: Fractional derivatives of certain generalized hypergeometric functions of several variables

Autoren: P.K. Vishwakarma Hari M. Srivastava R.C.S. Chandel

Quelle: Journal of Mathematical Analysis and Applications. 184:560-572

Schlagwörter: multivariable \(H\)-function, Other hypergeometric functions and integrals in several variables, Fractional derivatives and integrals, Applied Mathematics, Integral transforms of special functions, 0101 mathematics, 01 natural sciences, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/635945
https://doi.org/10.1006/jmaa.1994.1221
https://core.ac.uk/display/82207870
https://www.sciencedirect.com/science/article/abs/pii/S0022247X84712212#!
https://www.sciencedirect.com/science/article/pii/S0022247X84712212

A Class of Generalized Hypergeometric Functions in Several Variables: A class of generalized hypergeometric functions in several variables

Autoren: Zhi Min Yan

Quelle: Canadian Journal of Mathematics. 44:1317-1338

Schlagwörter: Other hypergeometric functions and integrals in several variables, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Jack polynomials, 0101 mathematics, 16. Peace & justice, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/class-of-generalized-hypergeometric-functions-in-several-variables/6084B18E34F0DD000F3491A4E48A03AA

The integral analogue of the Leibniz rule for fractional calculus and its applications involving functions of several variables

Autoren: N. Shrivastava B.B. Jaimini Hari M. Srivastava

Quelle: Computers & Mathematics with Applications. 41:149-155

Schlagwörter: Infinite integrals, Fractional calculus, Leibniz rule, fractional calculus, 01 natural sciences, Multivariable hypergeometric functions, Lauricella functions, Other hypergeometric functions and integrals in several variables, Computational Mathematics, Appell, Horn and Lauricella functions, Computational Theory and Mathematics, Fractional derivatives and integrals, Modelling and Simulation, infinite integrals, (Srivastava-Daoust) Generalized Lauricella function, multivariable hypergeometric functions, 0101 mathematics, generalized Lauricella function

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1671923
https://doi.org/10.1016/s0898-1221(01)85013-6
https://www.sciencedirect.com/science/article/pii/S0898122101850136

An integral equation involving the confluent hypergeometric function of several complex variables†: An integral equation involving the confluent hypergeometric function of several complex variables

Autoren: H. M. Srivastava

Quelle: Applicable Analysis. 5:251-256

Schlagwörter: Other hypergeometric functions and integrals in several variables, 0101 mathematics, Integral equations with miscellaneous special kernels, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3359135
https://www.tandfonline.com/doi/full/10.1080/00036817608839128

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

Autoren: Sun, Yi

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Fractional integration of the H-function of several variables: Fractional integration of the \(H\)-function of several variables

Autoren: Mudhir A. Abdul Hussain Hari M. Srivastava

Quelle: Computers & Mathematics with Applications. 30:73-85

Schlagwörter: multivariable \(H\)-function, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), H-functions of one and more variables, Fractional calculus, 01 natural sciences, Eulerian integrals, (Srivastava-Daoust) generalized Lauricella function, Other hypergeometric functions and integrals in several variables, Computational Mathematics, Fractional integration, Computational Theory and Mathematics, Fractional derivatives and integrals, Modelling and Simulation, Gamma and Beta functions, Appell functions, fractional integration, 0101 mathematics, Mellin-Barnes contour integrals, Binomial expansion

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/820326
https://doi.org/10.1016/0898-1221(95)00148-r
https://dspace.library.uvic.ca/handle/1828/2602
https://www.sciencedirect.com/science/article/pii/089812219500148R

Formulas for Computing the Lauricella Function in the Case of Crowding of Variables.

Autoren: Bezrodnykh, S. I.¹ (AUTHOR) sbezrodnykh@mail.ru

Quelle: Computational Mathematics & Mathematical Physics. Dec2022, Vol. 62 Issue 12, p2069-2090. 22p.

Schlagwörter: *FUNCTIONS of several complex variables, *INTERSECTION numbers, *HYPERGEOMETRIC functions, *HYPERGEOMETRIC series, *PARTIAL differential equations, *INTEGRAL functions, *CONFORMAL mapping

Separation of Variables and Integral Relations for Special Functions: Separation of variables and integral relations for special functions

Autoren: Vadim B. Kuznetsov Evgueni K. Sklyanin

Quelle: The Ramanujan Journal. 3:5-35

Schlagwörter: product formulas, Mathematics - Classical Analysis and ODEs, Lamé, Mathieu, and spheroidal wave functions, Other basic hypergeometric functions and integrals in several variables, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Quantum Algebra (math.QA), method of separation of variables, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/q-alg/9705006
http://arxiv.org/abs/q-alg/9705006
https://arxiv.org/abs/q-alg/9705006
https://arxiv.org/pdf/q-alg/9705006
https://link.springer.com/content/pdf/10.1023/A:1009880307186.pdf
http://ui.adsabs.harvard.edu/abs/1997q.alg.....5006K/abstract
https://link.springer.com/article/10.1023/A%3A1009880307186

Generalized Euler integrals and A-hypergeometric functions: Generalized Euler integrals and \(A\)-hypergeometric functions

Autoren: M. M. Kapranov Andrei Zelevinsky Gel'fand Im

Quelle: Advances in Mathematics. 84:255-271

Schlagwörter: Other hypergeometric functions and integrals in several variables, Mathematics(all), 0103 physical sciences, integral representations, \(A\)-hypergeometric functions, generalized Euler integral, 0101 mathematics, 01 natural sciences, \(A\)-hypergeometric system

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/000187089090048R
https://www.sciencedirect.com/science/article/pii/000187089090048R

On a family of symmetric hypergeometric functions of several variables and their Euler type integral representation.

Autoren: Luo, Zhuangchu Chen, Hua Zhang, Changgui

Quelle: Advances in Mathematics. Feb2014, Vol. 252, p652-683. 32p.

Schlagwörter: *SYMMETRIC functions, *HYPERGEOMETRIC functions, *MATHEMATICAL variables, *EULER method, *INTEGRAL representations, *MATHEMATICAL series, *MODULES (Algebra)

Some integral representations of multivariable hypergeometric functions

Autoren: Vu Kim Tuan Megumi Saigo

Quelle: Rendiconti del Circolo Matematico di Palermo. 41:69-80

Schlagwörter: hypergeometric functions in several variables, Gauss function, Integral transforms of special functions, multiple integral representations, 02 engineering and technology, Kampé de Fériet function, Lauricella functions, Other hypergeometric functions and integrals in several variables, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), 0203 mechanical engineering, Kummer function, modified Bessel functions, 0202 electrical engineering, electronic engineering, information engineering, Special integral transforms (Legendre, Hilbert, etc.), Mellin transformation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/91667
https://doi.org/10.1007/bf02844464
https://link.springer.com/article/10.1007/BF02844464

On a hypergeometric function of four variables with a new aspect ofSL-symmetry: On a hypergeometric function of four variables with a new aspect of \(SL\)- symmetry

Autoren: Harold Exton

Quelle: Annali di Matematica Pura ed Applicata (1923 -). 161:315-343

Schlagwörter: Other hypergeometric functions and integrals in several variables, hypergeometric PDE's, 0103 physical sciences, bisingularities for PDE's, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/95003
https://doi.org/10.1007/bf01759644
https://rd.springer.com/content/pdf/10.1007%2FBF01759644.pdf
https://link.springer.com/article/10.1007/BF01759644
https://link.springer.com/content/pdf/10.1007/BF01759644.pdf

On hypergeometric functions in several variables II. The Wronskian of the hypergeometric functions of type (n+1,m+1): On hypergeometric functions in several variables. II: The Wronskian of the hypergeometric functions of type \((n+1,m+1)\)

Autoren: KITA, Michitake

Quelle: J. Math. Soc. Japan 45, no. 4 (1993), 645-669

Schlagwörter: Other hypergeometric functions and integrals in several variables, 33C70, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/562716
https://doi.org/10.2969/jmsj/04540645
https://projecteuclid.org/euclid.jmsj/1227105056
https://projecteuclid.org/download/pdf_1/euclid.jmsj/1227105056
http://ci.nii.ac.jp/naid/10006413930
https://www.jstage.jst.go.jp/article/jmath1948/45/4/45_4_645/_article
http://projecteuclid.org/euclid.jmsj/1227105056

Some transformation and reduction formulas for hypergeometric series in several variables: Certain transformation and reduction formulas for hypergeometric series in several variables

Autoren: C. C. Grosjean Hari M. Srivastava

Quelle: Journal of Computational and Applied Mathematics. 37:287-299

Schlagwörter: Other hypergeometric functions and integrals in several variables, Computational Mathematics, Appell, Horn and Lauricella functions, multiple series identities, hypergeometric transformations, Applied Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1150
https://doi.org/10.1016/0377-0427(91)90125-4
https://www.sciencedirect.com/science/article/pii/0377042791901254

On Hypergeometric Functions in Several Variables 1. New integral representations of Euler type

Autoren: Michitake KITA

Quelle: Japanese journal of mathematics. New series. 1992, 18(1):25