Výsledky vyhledávání - "Basic hypergeometric integrals and functions defined by them"

On the fractional q-integral operators involving q-analogue of Mittag-Leffler function: On the fractional \(q\)-integral operators involving \(q\)-analogue of Mittag-Leffler function

Autoři: Mulugeta Dawud Ali D. L. Suthar

Zdroj: Analysis. 44:245-251

Témata: Integral operators, Fractional derivatives and integrals, \(q\)-generalized hypergeometric function, Riemann-Liouville fractional \(q\)-integral operator, \(q\)-beta function, Applications of basic hypergeometric functions, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Weyl fractional \(q\)-integral operator, Mittag-Leffler functions and generalizations, \(q\)-analogue of Mittag-Leffler function, 01 natural sciences, Kober fractional \(q\)-integral operator

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7912331
https://doi.org/10.1515/anly-2023-0107

q-Selberg Integrals and Macdonald Polynomials: \(q\)-Selberg integrals and Macdonald polynomials

Autoři: S. Ole Warnaar

Zdroj: The Ramanujan Journal. 10:237-268

Témata: \(q\)-gamma functions, \(q\)-beta functions and integrals, Selberg integrals, symmetric functions, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)

Popis souboru: application/xml

Přístupová URL adresa: http://www.maths.uq.edu.au/~uqowarna/pubs/q-Selberg.pdf
https://zbmath.org/2247912
https://doi.org/10.1007/s11139-005-4849-7
https://link.springer.com/article/10.1007/s11139-005-4849-7
https://espace.library.uq.edu.au/view/UQ:188983
https://core.ac.uk/display/15076905

Expansion formulas for terminating balanced 4F3-series from the Biedenharn–Elliot identity for su(1,1): Expansion formulas for terminating balanced \(_{4} F_{3}\)-series from the Biedenharn--Elliot identity for \(\mathfrak{su}(1,1)\)

Autoři: Lievens, Stijn

Zdroj: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Témata: Generalized hypergeometric series, \({}_pF_q\), Applied Mathematics, Biedenharn–Elliot identity, Science General, Biedenharn-Elliot identity, 01 natural sciences, Hypergeometric series, Expansion formula, Computational Mathematics, Appell, Horn and Lauricella functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Invariance group

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0377042704000068
https://ui.adsabs.harvard.edu/abs/2004JCoAM.169..419L/abstract
https://www.sciencedirect.com/science/article/pii/S0377042704000068
https://biblio.ugent.be/publication/295045/file/1126154.pdf
https://core.ac.uk/display/82742418
https://biblio.ugent.be/publication/295045
https://biblio.ugent.be/publication/295045
https://biblio.ugent.be/publication/295045/file/1126154
http://doi.org/1854/2722
http://hdl.handle.net/1854/LU-295045

A Generalized Hypergeometric Function II. Asymptotics and D 4 Symmetry: A generalized hypergeometric function. II: Asymptotics and \(D_4\) symmetry

Autoři: S.N.M. Ruijsenaars

Zdroj: Communications in Mathematical Physics. 243:389-412

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, generalized hypergeometric function, Difference equations, scaling (\(q\)-differences), 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Hypergeometric functions, analytic difference equations, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2003CMaPh.243..389R/abstract
https://link.springer.com/article/10.1007/s00220-003-0969-3

Form Factors of $\textit{SU}(N)$ Invariant Thirring Model: Form factors of \(SU(N)\) invariant Thirring model

Autoři: Yoshihiro Takeyama

Zdroj: Publications of the Research Institute for Mathematical Sciences. 39:59-116

Témata: Thirring model, High Energy Physics - Theory, recurrence relations, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Basic hypergeometric integrals and functions defined by them, form factors, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=39&iss=1&rank=3
http://arxiv.org/abs/math-ph/0112025
http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=39&iss=1&rank=3
https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/149952
https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/149952/1/yrigk02421.pdf
http://ci.nii.ac.jp/naid/130003585532
https://ui.adsabs.harvard.edu/abs/2001math.ph..12025T/abstract

A Product Formula for Jackson Integral Associated with the Root System F 4: A product formula for Jackson integral associated with the root system \(F_4\)

Autoři: Masahiko Ito

Zdroj: The Ramanujan Journal. 6:279-293

Témata: Jackson integral, very-well-poised \({}_6\psi_6\) sum, Askey-Wilson integral, root system of type \(F_4\), 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences, Basic hypergeometric functions associated with root systems

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023%2FA%3A1019711531212
https://link.springer.com/content/pdf/10.1023/A:1019711531212.pdf

On Solutions of the q-Hypergeometric Equation with q N = 1: On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\)

Autoři: Yoshihiro Takeyama

Zdroj: The Ramanujan Journal. 6:369-378

Témata: \(q\)-hypergeometric equation, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), basic hypergeometric series, root of unity, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0106041
https://zbmath.org/1845358
https://doi.org/10.1023/a:1019785205984
https://link.springer.com/article/10.1023/A%3A1019785205984

a product formula for jackson integral associated with the root system f4: A product formula for Jackson integral associated with the root system \(F_4\)

Autoři: Masahiko Ito

Zdroj: Ramanujan Journal. 6(3):279-293

Témata: Jackson integral, very-well-poised \({}_6\psi_6\) sum, Askey-Wilson integral, root system of type \(F_4\), Basic hypergeometric integrals and functions defined by them, Basic hypergeometric functions associated with root systems

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023%2FA%3A1019711531212
https://link.springer.com/content/pdf/10.1023/A:1019711531212.pdf

symmetry classification for jackson integrals associated with irreducible reduced root systems: Symmetry classification for Jackson integrals associated with irreducible reduced root systems

Autoři: Masahiko Ito

Zdroj: Compositio Mathematica. 129(3):325-340

Témata: Jackson integrals, Gustafson's sums, van Diejen's \(BC_n\)-sums, Aomoto's sums, elliptic product formulas, Basic hypergeometric integrals and functions defined by them, Basic hypergeometric functions associated with root systems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1701638
https://doi.org/10.1023/a:1012518910847
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D1958D038A5817D9A367017E6C28D716/S0010437X01000781a.pdf/div-class-title-symmetry-classification-for-jackson-integrals-associated-with-irreducible-reduced-root-systems-div.pdf
https://www.cambridge.org/core/journals/compositio-mathematica/article/symmetry-classification-for-jackson-integrals-associated-with-irreducible-reduced-root-systems/D1958D038A5817D9A367017E6C28D716
https://link.springer.com/article/10.1023/A%3A1012518910847

The $q$-twisted Cohomology and the $q$-hypergeometric Function at $|q|=1$: The \(q\)-twisted cohomology and the \(q\)-hypergeometric function at \(|q|=1\)

Autoři: Yoshihiro Takeyama

Zdroj: Publications of the Research Institute for Mathematical Sciences. 37:71-89

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Heine's transformations, 01 natural sciences, little \(q\)-Jacobi polynomials, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-hypergeometric functions, Mathematics - Classical Analysis and ODEs, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Basic hypergeometric integrals and functions defined by them

Popis souboru: application/xml

Přístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=37&iss=1&rank=3
http://arxiv.org/abs/math/0005071
https://www.arxiv-vanity.com/papers/math/0005071/
https://ui.adsabs.harvard.edu/abs/2000math......5071T/abstract
http://ci.nii.ac.jp/naid/130003585492

elliptic selberg integrals: Elliptic Selberg integrals

Autoři: Van Diejen, J.F. Spiridonov, V.P.

Zdroj: INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID
instacron:ANID
Articulos_ANID
Agencia Nacional de Investigación y Desarrollo

Témata: \(q\)-gamma functions, \(q\)-beta functions and integrals, Basic hypergeometric integrals and functions defined by them, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.)

Popis souboru: application/xml; 2974 bytes; text/html

Přístupová URL adresa: http://academic.oup.com/imrn/article-abstract/2001/20/1083/847916
https://academic.oup.com/imrn/article-abstract/2001/20/1083/847916
http://hdl.handle.net/10533/173002
https://repositorio-qa.anid.cl/handle/10533/173002
https://hdl.handle.net/10533/173002

q-Beta Integrals and Multivariate Basic Hypergeometric Series Associated to Root Systems of Type Am: \(q\)-beta integrals and multivariate basic hypergeometric series associated to root systems of type \(A_m\)

Autoři: Medhat A. Rakha Robert A. Gustafson

Zdroj: Annals of Combinatorics. 4:347-373

Témata: Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Basic hypergeometric functions associated with root systems

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1587406
https://doi.org/10.1007/pl00001285
https://link.springer.com/article/10.1007/PL00001285
https://link.springer.com/10.1007/PL00001285

Stieltjes moments of entire functions of exponential type

Autoři: F. N. Garif’yanov

Zdroj: Mathematical Notes. 67:572-576

Témata: quasi polynomial, holomorphic functions, Stieltjes moment problem, difference equation, 0102 computer and information sciences, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences, Radon transform, entire functions

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF02676327

Differential Equations Satisfied by the Components with Respect to the Cyclic Group of Order n of Some Special Functions: Differential equations satisfied by the components with respect to the cyclic group of order \(n\) of some special functions

Autoři: Youssèf Ben Cheikh

Zdroj: Journal of Mathematical Analysis and Applications. 244:483-497

Témata: Generalized hypergeometric series, \({}_pF_q\), Applied Mathematics, Linear ordinary differential equations and systems, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences, Power series (including lacunary series) in one complex variable, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1449219
https://doi.org/10.1006/jmaa.2000.6719
https://www.sciencedirect.com/science/article/pii/S0022247X00967192
https://core.ac.uk/display/82329563

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

On the linearization problem involving Pochhammer symbols and their q-analogues: On the linearization problem involving Pochhammer symbols and their \(q\)-analogues

Autoři: André Ronveaux Renato Alvarez-Nodarse Niurka R. Quintero a další

Přispěvatelé: André Ronveaux Renato Alvarez-Nodarse Niurka R. Quintero a další

Zdroj: idUS. Depósito de Investigación de la Universidad de Sevilla
instname
Universidad de Sevilla (US)

Témata: Computational Mathematics, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), \(q\)-Pochhammer symbol, \(q\)-calculus and related topics, Applied Mathematics, Pochhammer and q-Pochhammer symbols, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, linearization problem, 01 natural sciences, \(q\)-Charlier polynomial, Linearization problem, shifted \(q\)-factorial

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: https://idus.us.es/handle/11441/43045
https://idus.us.es/xmlui/handle/11441/43045
http://hdl.handle.net/11441/43045
https://researchportal.unamur.be/en/publications/a0886ab7-b09e-43c9-8623-4c4c70bd3dc9
https://www.sciencedirect.com/science/article/abs/pii/S0377042799000874
https://idus.us.es/handle/11441/43045
https://researchportal.unamur.be/fr/publications/on-the-linearization-problem-involving-pochhammer-symbols-and-the
http://euler.us.es/~niurka/papers/1999-jcam107.pdf
https://www.sciencedirect.com/science/article/pii/S0377042799000874
https://idus.us.es/xmlui/handle/11441/43045

On a Solution of a $q$-Difference Analogue of Laurieella's $D$-Type Hypergeometric Equation with $|q| = 1$: On a solution of a \(q\)-difference analogue of Lauricella's \(D\)-type hypergeometric equation with \(|q|=1\)

Autoři: Michitomo Nishizawa

Zdroj: Publications of the Research Institute for Mathematical Sciences. 34:277-290

Témata: Lauricella's \(D\)-type hypergometric equation, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0101 mathematics, Basic hypergeometric integrals and functions defined by them, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=34&iss=3&rank=6
https://www.jstage.jst.go.jp/article/kyotoms1969/34/3/34_3_277/_article
http://ci.nii.ac.jp/naid/130003585426
https://www.ems-ph.org/journals/show_pdf.php?issn=0034-5318&vol=34&iss=3&rank=6
https://www.ems-ph.org/doi/10.2977/prims/1195144697

Multivariable BC Type Askey-Wilson Polynomials With Partly Discrete Orthogonality Measure: Multivariable BC type Askey-Wilson polynomials with partly discrete orthogonality measure

Autoři: Stokman, J.V.

Zdroj: The Ramanujan Journal. 1:275-297

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, multi-variable, orthogonality measure, Basic hypergeometric integrals and functions defined by them, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/1185668
https://doi.org/10.1023/a:1009757113226
https://hdl.handle.net/11245/1.427664
https://dare.uva.nl/personal/pure/en/publications/multivariable-bc-type-askeywilson-polynomials-with-partly-discrete-orthogonality-measure(188d9ccb-674b-4f79-9613-9ba8079dd0b7).html
https://dare.uva.nl/record/1/427664
https://link.springer.com/content/pdf/10.1023/A:1009757113226.pdf
https://pure.uva.nl/ws/files/2114419/29854_134582y.pdf
https://link.springer.com/article/10.1023/A%3A1009757113226
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F188d9ccb-674b-4f79-9613-9ba8079dd0b7

Geometry of q-hypergeometric functions as a bridge between Yangians and quantum affine algebras: Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras

Autoři: V. Tarasov Alexander Varchenko

Zdroj: Inventiones mathematicae. 128:501-588

Témata: quantum complex Grassmannians, quantum symmetric space, Askey-Wilson polynomials, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, 0101 mathematics, Basic hypergeometric integrals and functions defined by them, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/q-alg/9604011
http://arxiv.org/abs/q-alg/9604011
https://core.ac.uk/display/22276402
https://link.springer.com/article/10.1007%2Fs002220050151
https://ui.adsabs.harvard.edu/abs/1997InMat.128..501T/abstract
https://link.springer.com/content/pdf/10.1007/s002220050151.pdf
https://arxiv.org/abs/q-alg/9604011v4
http://export.arxiv.org/pdf/q-alg/9604011
https://arxiv.org/pdf/q-alg/9604011v4

Multivariable BC type Askey-Wilson polynomials with partly discrete orthogonality measure

Autoři: Stokman, J.V.

Zdroj: The Ramanujan Journal. 1:275-297

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Askey-Wilson polynomials, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, multi-variable, orthogonality measure, Basic hypergeometric integrals and functions defined by them, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://zbmath.org/1185668
https://doi.org/10.1023/a:1009757113226
https://hdl.handle.net/11245/1.427664
https://dare.uva.nl/personal/pure/en/publications/multivariable-bc-type-askeywilson-polynomials-with-partly-discrete-orthogonality-measure(188d9ccb-674b-4f79-9613-9ba8079dd0b7).html
https://dare.uva.nl/record/1/427664
https://link.springer.com/content/pdf/10.1023/A:1009757113226.pdf
https://pure.uva.nl/ws/files/2114419/29854_134582y.pdf
https://link.springer.com/article/10.1023/A%3A1009757113226
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F188d9ccb-674b-4f79-9613-9ba8079dd0b7