Výsledky vyhledávání - Other 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

Autoři: V. I. Khudozhnikov

Zdroj: Differential Equations. 39:881-891

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/B%3ADIEQ.0000008415.44977.30

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

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

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

Autoři: Sun, Yi

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

Témata: 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 souboru: application/xml

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

Singularities of hypergeometric functions in several variables

Autoři: Mikael Passare A. K. Tsikh Timur Sadykov

Zdroj: Compositio Mathematica. 141:787-810

Témata: 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 souboru: application/xml

Přístupová 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

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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Zhi Min Yan

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: H. M. Srivastava

Zdroj: Applicable Analysis. 5:251-256

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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3359135
https://www.tandfonline.com/doi/full/10.1080/00036817608839128

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

Autoři: Mudhir A. Abdul Hussain Hari M. Srivastava

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

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

Zdroj: Advances in Mathematics. 84:255-271

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/000187089090048R
https://www.sciencedirect.com/science/article/pii/000187089090048R

Some integral representations of multivariable hypergeometric functions

Autoři: Vu Kim Tuan Megumi Saigo

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Harold Exton

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

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

Popis souboru: application/xml

Přístupová URL adresa: 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

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

Autoři: C. C. Grosjean Hari M. Srivastava

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

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

Popis souboru: application/xml

Přístupová URL adresa: 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 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 \((n+1,m+1)\)

Autoři: KITA, Michitake

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

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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

Theta hypergeometric integrals

Autoři: Vyacheslav P. Spiridonov

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

Témata: 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 souboru: application/xml

Přístupová 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

Transformations for a Class of Hypergeometric Functions: Transformations for a class of hypergeometric functions

Autoři: S. Mudaliar

Zdroj: Journal of Electromagnetic Waves and Applications. 14:1185-1202

Témata: Other hypergeometric functions and integrals in several variables, Other functions defined by series and integrals, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Gamma, beta and polygamma functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2128020
https://doi.org/10.1163/156939300x01111
http://www.tandfonline.com/doi/abs/10.1163/156939300X01111

$ \mathscr N$-functions and their relationship with solutions of general hypergeometric systems andGG-systems: \({\mathcal N}\)-functions and their relationships with solutions of general hypergeometric systems and \(GG\)-systems

Autoři: I M Gel'fand Mark Iosifovich Graev

Zdroj: Russian Mathematical Surveys. 56:615-647

Témata: Other hypergeometric functions and integrals in several variables, Other basic hypergeometric functions and integrals in several variables, Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation), 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://iopscience.iop.org/article/10.1070/RM2001v056n04ABEH000414
http://ui.adsabs.harvard.edu/abs/2001RuMaS..56..615G/abstract
http://iopscience.iop.org/article/10.1070/RM2001v056n04ABEH000414/pdf

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

Autoři: Katsushige Higashi Takeshi Sasaki

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

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

Popis souboru: application/xml

Přístupová URL adresa: https://www.jstage.jst.go.jp/article/kyushujm/58/1/58_1_105/_pdf

Further results on generalized hypergeometric functions

Autoři: Leda Galué Shyam L. Kalla A. Al-Zamel

Zdroj: Applied Mathematics and Computation. 136:17-25

Témata: Other hypergeometric functions and integrals in several variables, hypergeometric incomplete gamma functions, recurrence formulas, 0101 mathematics, Gamma, beta and polygamma functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1861369
https://doi.org/10.1016/s0096-3003(02)00014-0
https://dblp.uni-trier.de/db/journals/amc/amc136.html#GalueAK03
https://www.sciencedirect.com/science/article/pii/S0096300302000140
https://doi.org/10.1016/S0096-3003(02)00014-0