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

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

Autori: Xing Kongduo Midhunchakkaravarthy

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

Predmety: 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.

Autori: Xing Kongduo Midhunchakkaravarthy

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

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

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

Autori: Vadim B. Kuznetsov Evgueni K. Sklyanin

Zdroj: The Ramanujan Journal. 3:5-35

Predmety: 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

Popis súboru: application/xml

Prístupová URL adresa: 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

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

Multivariate basic hypergeometric series associated to root systems of type Am: Multivariate basic hypergeometric series associated to root systems of type \(A_{m}\)

Autori: Medhat A. Rakha

Zdroj: Journal of Mathematical Analysis and Applications. 294:181-195

Predmety: Integral transformations, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), hypergeometric series very well poised on Lie algebras, q-beta integrals, Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, \(q\)-series, 0102 computer and information sciences, \(q\)-beta integrals, q-series, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), integral transformations, Hypergeometric series very well poised on Lie algebras, \(q\)-gamma functions, \(q\)-beta functions and integrals, multivariate basic hypergeometric series associated with root systems, 0101 mathematics, Analysis, Basic hypergeometric functions associated with root systems

Popis súboru: application/xml

Prístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0022247X04001246
https://squ.pure.elsevier.com/en/publications/multivariate-basic-hypergeometric-series-associated-to-root-syste
https://core.ac.uk/display/82398993
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04001246

$ \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

Autori: I M Gel'fand Mark Iosifovich Graev

Zdroj: Russian Mathematical Surveys. 56:615-647

Predmety: 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 súboru: application/xml

Prístupová 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

The Saalschütz chain reactions and bilateral basic hypergeometric series: The Saalschütz chain reactions and bilateral basic hypergeometric series.

Autori: CHU, Wenchang

Zdroj: Constructive Approximation. 18:579-597

Predmety: multiple basic hypergeometric series, bilateral \(q\)-hyergeometric series, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-calculus and related topics, Other basic hypergeometric functions and integrals in several variables, Saalschütz chain reactions, 0101 mathematics, 01 natural sciences, BILATERAL Q-SERIES

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1885737
https://doi.org/10.1007/s00365-001-0026-4
https://link.springer.com/content/pdf/10.1007%2Fs00365-001-0026-4.pdf
https://link.springer.com/article/10.1007/s00365-001-0026-4
https://hdl.handle.net/11587/369134

General gamma functions, exponentials, and hypergeometric functions

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

Zdroj: Russian Mathematical Surveys. 53:1-55

Predmety: \(u\)-exponentials, deformation of hypergeometric function, Other basic hypergeometric functions and integrals in several variables, 0103 physical sciences, 0101 mathematics, \(u\)-gamma functions, reduced hypergeometric functions, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://ui.adsabs.harvard.edu/abs/1998RuMaS..53....1G/abstract
https://iopscience.iop.org/article/10.1070/RM1998v053n01ABEH000008/pdf
https://iopscience.iop.org/article/10.1070/RM1998v053n01ABEH000008

Dn Basic Hypergeometric Series: \(D_n\) basic hypergeometric series

Autori: Gaurav Bhatnagar

Zdroj: The Ramanujan Journal. 3:175-203

Predmety: multiple basic hypergeometric series, Combinatorial aspects of partitions of integers, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Other basic hypergeometric functions and integrals in several variables, Rogers-Selberg function, 0101 mathematics, 01 natural sciences, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

Prístupová URL adresa: https://link.springer.com/content/pdf/10.1023/A:1006997424561.pdf
https://link.springer.com/article/10.1023/A%3A1006997424561

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

Autori: Stephen C. Milne Verne E. Leininger

Zdroj: Discrete Mathematics. 204:281-317

Predmety: 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 súboru: application/xml

Prístupová 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

On the approximation of an appell hypergeometric function by a branched continued fraction: On the approximation of an Appell hypergeometric function by a branched continued fraction

Autori: O. S. Manzii

Zdroj: Journal of Mathematical Sciences. 90:2376-2380

Predmety: Other basic hypergeometric functions and integrals in several variables, 0202 electrical engineering, electronic engineering, information engineering, hypergeometric Appell function, 02 engineering and technology, boundedness, 0101 mathematics, 01 natural sciences, Approximation by other special function classes

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1167020
https://link.springer.com/article/10.1007/BF02433970

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

Heine transformations for a new kind of basic hypergeometric series in U(n): Heine transformations for a new kind of basic hypergeometric series in \(U(n)\)

Autori: Christian Krattenthaler Robert A. Gustafson

Zdroj: Journal of Computational and Applied Mathematics. 68:151-158

Predmety: Computational Mathematics, Basic hypergeometric series in U(n), Heine transformation, Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, Good's identity, 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, Bilateral basic hypergeometric series

Popis súboru: application/xml

Prístupová URL adresa: https://www.sciencedirect.com/science/article/pii/037704279500260X
https://www.sciencedirect.com/science/article/abs/pii/037704279500260X
http://www.mat.univie.ac.at/%7Ekratt/artikel/gustkrat.pdf
https://www.mat.univie.ac.at/%7Ekratt/artikel/gustkrat.pdf

Bibasic analystic functions and discrete ‘bibasic’ hypergeometric series: Bibasic analytic functions and discrete `bibasic' hypergeometric series

Autori: M. A. Khan

Zdroj: Periodica Mathematica Hungarica. 29:39-49

Predmety: Bibasic functions and multiple bases, geometric lattice, Other basic hypergeometric functions and integrals in several variables, bibasic analytic functions, Lattices, Other special functions, 0101 mathematics, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/736854
https://doi.org/10.1007/bf01876202
https://link.springer.com/article/10.1007/BF01876202
https://rd.springer.com/article/10.1007/BF01876202

Infinite Families of Exact Sums of Squares Formulas, Jacobi Elliptic Functions, Continued Fractions, and Schur Functions: Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions

Autori: Milne, Stephen C.

Zdroj: Developments in Mathematics ISBN: 9781441952134

Predmety: Mathematics - Number Theory, Other basic hypergeometric functions and integrals in several variables, Exact enumeration problems, generating functions, 0102 computer and information sciences, 01 natural sciences, Elliptic functions and integrals, Binomial coefficients, factorials, \(q\)-identities, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Theta series, Weil representation, theta correspondences, Number Theory (math.NT), 0101 mathematics, Sums of squares and representations by other particular quadratic forms, Basic hypergeometric functions associated with root systems

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/math/0008068

On a hypergeometric identity of Gelfand, Graev and Retakh: On a hypergeometric identity of Gelfand, Graev and Retakh.

Autori: Hjalmar Rosengren Christian Krattenthaler

Zdroj: Journal of Computational and Applied Mathematics. 160:147-158

Predmety: Ramanujan's 1ψ1 summation, multiple hypergeometric series, Generalized hypergeometric series, \({}_pF_q\), Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, basic hypergeometric series, Basic hypergeometric series, 16. Peace & justice, 01 natural sciences, Other hypergeometric functions and integrals in several variables, Computational Mathematics, Chu-Vandermonde summation Pfaff-Saalschütz summation, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Ramanujan's \(_{1}{\psi}_1\) summation, 0101 mathematics, Multiple hypergeometric series, 33C70 (Primary) 33C20 33D70 (Secondary), Chu–Vandermonde summation Pfaff–Saalschütz summation

Popis súboru: application/xml

Prístupová URL adresa: http://arxiv.org/abs/math/0303061
https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.234.221&rep=rep1&type=pdf
https://www.sciencedirect.com/science/article/pii/S0377042703006204
https://ui.adsabs.harvard.edu/abs/2003JCoAM.160..147K/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0377042703006204
https://research.chalmers.se/publication/102507

Transformation formula for a double Clausenian hypergeometric series, its q-analogue, and its invariance group: Transformation formula for a double Clausenian hypergeometric series, its \(q\)-analogue, and its invariance group

Autori: J. Van der Jeugt

Zdroj: Journal of Computational and Applied Mathematics. 139:65-73

Predmety: summation formulas, invariance group, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), transformation, Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, reduction, Connections of hypergeometric functions with groups and algebras, and related topics, basic hypergeometric series, Transformation formulae, 01 natural sciences, Double basic hypergeometric series, Double hypergeometric series, Transformation group, Other hypergeometric functions and integrals in several variables, Computational Mathematics, 0101 mathematics

Popis súboru: application/xml

Prístupová URL adresa: https://biblio.ugent.be/publication/161957
https://dl.acm.org/doi/10.1016/S0377-0427%2801%2900389-2
http://ui.adsabs.harvard.edu/abs/2002JCoAM.139...65V/abstract
https://www.sciencedirect.com/science/article/pii/S0377042701003892
http://www.sciencedirect.com/science/article/pii/S0377042701003892

Some new infinite families of $\eta$-function identities: Some new infinite families of \(\eta\)-function identities

Autori: Stephen C. Milne Verne E. Leininger

Zdroj: Methods and Applications of Analysis. 6:225-248

Predmety: Lucas sequences, 0301 basic medicine, Pythagorean triangles, Dedekind eta function, Other basic hypergeometric functions and integrals in several variables, Pell's equation, very-well-poised on unitary groups \(U(n+1)\), 01 natural sciences, multiple basic hypergeometric series, 03 medical and health sciences, \(q\)-calculus and related topics, Algebraic combinatorics, identities of Rogers-Ramanujan type, quintuple product identity, Chebyshev polynomials, Pell numbers, 0101 mathematics, Macdonald identities, Combinatorial identities, bijective combinatorics

Popis súboru: application/xml

Prístupová URL adresa: http://www.intlpress.com/site/pub/files/_fulltext/journals/maa/1999/0006/0002/MAA-1999-0006-0002-a007.pdf
https://zbmath.org/1513051
https://doi.org/10.4310/maa.1999.v6.n2.a7
https://www.intlpress.com/site/pub/files/_fulltext/journals/maa/1999/0006/0002/MAA-1999-0006-0002-a007.pdf

A QUANTUM ANALOGUE OF THE HYPERGEOMETRIC SYSTEM E3,6: A quantum analogue of the hypergeometric system \(E_{3,6}\)

Autori: Minobu Nakatani

Zdroj: Kyushu Journal of Mathematics. 49:67-91

Predmety: Lauricella hypergeometric functions, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Other basic hypergeometric functions and integrals in several variables, 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, 01 natural sciences

Popis súboru: application/xml

Prístupová URL adresa: https://www.jstage.jst.go.jp/article/kyushujm/49/1/49_1_67/_pdf
https://www.jstage.jst.go.jp/article/kyushujm/49/1/49_1_67/_article
https://ci.nii.ac.jp/naid/110001258942

A Simple Proof of an Aomoto-Type Extension of Askey's Last Conjectured Selberg q-Integral: A simple proof of an Aomoto-type extension of Askey's last conjectured Selberg \(q\)-integral

Autori: Kevin W. J. Kadell

Zdroj: Journal of Mathematical Analysis and Applications. 261:419-440

Predmety: Aomoto-type extensions, Selberg's integral, Applied Mathematics, Other basic hypergeometric functions and integrals in several variables, Selberg \(q\)-integrals, q-transportation theory for the root system An−1, Aomoto-type extension, 0101 mathematics, 01 natural sciences, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1676044
https://doi.org/10.1006/jmaa.2000.7180
https://www.sciencedirect.com/science/article/abs/pii/S0022247X00971804
https://www.sciencedirect.com/science/article/pii/S0022247X00971804
https://core.ac.uk/display/82223453