Výsledky vyhledávání - "q-beta functions and integrals"

A Note on Extended Saigo Operators and Their q-analogues

Autoři: K. K. Chaudhary S. B. Rao

Zdroj: Известия Иркутского государственного университета: Серия "Математика", Vol 51, Iss 1, Pp 66-81 (2025)

Témata: q-calculus and related topics, integral operators, QA1-939, q-beta functions and integrals, q-gamma functions, Mathematics, generalized hypergeometric series

q-Legendre based Gould–Hopper polynomials and q-operational methods: \(q\)-Legendre based Gould-Hopper polynomials and \(q\)-operational methods

Autoři: Fadel Mohammed William Ramírez Clemente Cesarano a další

Zdroj: ANNALI DELL'UNIVERSITA' DI FERRARA. 71

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), extension of monomility principle, shift operator, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-calculus and related topics, two-variable \(q\)-Legendre polynomials, \(q\)-operational methods, \(q\)-Gould-Hopper polynomials, quantum calculus

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8030642
https://doi.org/10.1007/s11565-025-00587-z

A New q‐Integral Operator Containing Generalized q‐Mittag‐Leffler Function: A new \(q\)-integral operator containing generalized \(q\)-Mittag-Leffler function

Autoři: Mulugeta Dawud Ali D. L. Suthar

Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2025 (2025)

Témata: \(q\)-Mittag-Leffler function, \(q\)-gamma functions, \(q\)-beta functions and integrals, Fractional derivatives and integrals, \(q\)-calculus and related topics, \(q\)-Fox's \(H\)-functions, QA1-939, fractional \(q\)-calculus operator, \(q\)-beta function, \(q\)-integral operator, \(q\)-gamma function, Mittag-Leffler functions and generalizations, Mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8036139
https://doi.org/10.1155/ijmm/6758069
https://doaj.org/article/f0a2c703ff5044019351868ea8b2dcf1

A Note on Wright-type Generalized q-hypergeometric Function

Autoři: K. K. Chaudhary S. B. Rao

Zdroj: Известия Иркутского государственного университета: Серия "Математика", Vol 48, Iss 1, Pp 80-94 (2024)

Témata: q-calculus and related topics, basic hypergeometric functions in one variable ${}_r \phi_s$, QA1-939, q-beta functions and integrals, q-gamma functions, Mathematics

Boundary confining dualities and Askey-Wilson type q-beta integrals: Boundary confining dualities and Askey-Wilson type \(q\)-beta integrals

Autoři: Tadashi Okazaki Douglas J. Smith

Zdroj: Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-59 (2023)
Journal of High Energy Physics

Témata: High Energy Physics - Theory, Extended Supersymmetry, FOS: Physical sciences, duality in gauge field theories, QC770-798, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, Mathematical Physics (math-ph), extended supersymmetry, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), \(q\)-gamma functions, \(q\)-beta functions and integrals, Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, supersymmetry and duality, Supersymmetry and Duality, Duality in Gauge Field Theories, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2305.00247
https://doaj.org/article/edb5f51b172c4aa9897e66762cccdd88

Hermite–Hadamard-type inequalities via different convexities with applications: Hermite-Hadamard-type inequalities via different convexities with applications

Autoři: Muhammad Samraiz Maria Malik Saima Naheed a další

Zdroj: Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-16 (2023)

Témata: Rearrangement inequality, Artificial intelligence, Class (philosophy), Geometry, Convex Functions, Matrix Inequalities and Geometric Means, Mathematical analysis, 01 natural sciences, Trapezoid rule, Convexity of real functions in one variable, generalizations, Orthogonal Polynomials, Convex function, Fractional derivatives and integrals, \(q\)-gamma functions, \(q\)-beta functions and integrals, Hermite–Hadamard-type inequalities, QA1-939, FOS: Mathematics, \(m\)-convex function, Hermite-Hadamard-type inequalities, 0101 mathematics, Biology, Hadamard transform, Hermite polynomials, Algebra over a field, Log sum inequality, Ecology, Applied Mathematics, Pure mathematics, Applied mathematics, Midpoint, Computer science, Convex optimization, Regular polygon, trapezoid rule, Inequality, error estimates, Young's inequality, \(q\)-calculus and related topics, FOS: Biological sciences, Physical Sciences, m-convex function, Inequalities for sums, series and integrals, Error estimates, Hermite-Hadamard Inequalities, Type (biology), Mathematics, Hypergeometric Functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7778067
https://doi.org/10.1186/s13660-023-02957-7
https://doaj.org/article/5b53f7005d344f7fb2dbff1ecf836f6d

Connection and inversion coefficients for basic hypergeometric polynomials

Autoři: Hamza Chaggara Mohamed Mabrouk

Zdroj: The Ramanujan Journal. 46:29-48

Témata: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), \(q\)-Askey scheme, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), \(q\)-gamma functions, \(q\)-beta functions and integrals, \(d\)-orthogonal basic polynomials, 13. Climate action, basic hypergeometric polynomials, inverse relations, 0101 mathematics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), connection coefficients, 01 natural sciences, inversion coefficients

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6879656
https://doi.org/10.1007/s11139-017-9951-0
https://link.springer.com/article/10.1007/s11139-017-9951-0

Estimates of quantum bounds pertaining to new q-integral identity with applications: Estimates of quantum bounds pertaining to new \(q\)-integral identity with applications

Autoři: Muhammad Aslam Noor Artion Kashuri Muhammad Uzair Awan a další

Zdroj: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)

Témata: Preinvex, \(q\)-calculus, convex, Convex, 01 natural sciences, Convexity of real functions in one variable, generalizations, Bounds, \(q\)-gamma functions, \(q\)-beta functions and integrals, inequalities, \(q\)-calculus and related topics, QA1-939, Inequalities for sums, series and integrals, preinvex, q-calculus, Inequalities, bounds, 0101 mathematics, Special means, special means, Mathematics, Means

Popis souboru: application/xml

Přístupová URL adresa: https://advancesindifferenceequations.springeropen.com/track/pdf/10.1186/s13662-020-02878-5
https://doaj.org/article/497f47fc4e1e40a2861a78755904645a
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02878-5
https://link.springer.com/content/pdf/10.1186/s13662-020-02878-5.pdf
https://link.springer.com/article/10.1186/s13662-020-02878-5

q-Analogue of Watanabe Unitary Transform Associated to the q-Continuous Gegenbauer Polynomials: \(q\)-analogue of the Watanabe unitary transform associated to the \(q\)-continuous Gegenbauer polynomials

Autoři: Abderrahman Essadiq

Zdroj: Harmonic analysis and integral geometry ISBN: 9780429187834

Témata: Integral operators, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-continuous Gegenbauer polynomials, Watanabe integral transform, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1584419
https://doi.org/10.1023/a:1011076027510
https://link.springer.com/article/10.1023/A:1011076027510

Two operator identities and their applications to terminating basic hypergeometric series and q-integrals: Two operator identities and their applications to terminating basic hypergeometric series and \(q\)-integrals

Autoři: Zhizheng Zhang Jun Wang

Zdroj: Journal of Mathematical Analysis and Applications. 312:653-665

Témata: Terminating, q-Integral, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-calculus and related topics, Applied Mathematics, operator idenities, Operator identity, \(q\)-integrals, 0101 mathematics, Basic hypergeometric series, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2235562
https://doi.org/10.1016/j.jmaa.2005.03.064
https://www.sciencedirect.com/science/article/pii/S0022247X05002635
https://core.ac.uk/display/82506374
http://ui.adsabs.harvard.edu/abs/2005JMAA..312..653Z/abstract

Generalized Zeta Regularizations, Quantum Class Number Formulas, and Appell's O-Functions: Generalized zeta regularizations, quantum class number formulas, and Appell's \(O\)-functions

Autoři: Masato Wakayama Nobushige Kurokawa

Zdroj: The Ramanujan Journal. 10:291-303

Témata: Selberg zeta functions and regularized determinants, applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas), \(q\)-gamma functions, \(q\)-beta functions and integrals, Real zeros of \(L(s, \chi)\), results on \(L(1, \chi)\), 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2247914
https://doi.org/10.1007/s11139-005-4851-0
https://tus.elsevierpure.com/en/publications/generalized-zeta-regularizations-quantum-class-number-formulas-an
https://link.springer.com/article/10.1007%2Fs11139-005-4851-0
https://link.springer.com/content/pdf/10.1007/s11139-005-4851-0.pdf
https://kyushu-u.pure.elsevier.com/en/publications/generalized-zeta-regularizations-quantum-class-number-formulas-an

Unit Circle Elliptic Beta Integrals: Unit circle elliptic beta integrals

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

Zdroj: Articulos_ANID
Agencia Nacional de Investigación y Desarrollo
instacron:ANID
RAMANUJAN JOURNAL
Artículos CONICYT
CONICYT Chile
instacron:CONICYT
Conicyt_qa
ANID

Témata: elliptic gamma functions, 33D99, 33E20, 01 natural sciences, \(q\)-gamma functions, \(q\)-beta functions and integrals, Bibasic functions and multiple bases, Mathematics - Classical Analysis and ODEs, 0103 physical sciences, Jacobi forms, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, elliptic hypergeometric integrals, Basic hypergeometric functions associated with root systems, beta integrals

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

Přístupová URL adresa: http://arxiv.org/pdf/math/0309279
http://arxiv.org/abs/math/0309279
https://arxiv.org/pdf/math/0309279.pdf
http://core.ac.uk/display/2573348
https://arxiv.org/abs/math/0309279
https://link.springer.com/article/10.1007/s11139-005-4846-x
http://ui.adsabs.harvard.edu/abs/2003math......9279V/abstract
https://link.springer.com/content/pdf/10.1007/s11139-005-4846-x.pdf
https://hdl.handle.net/10533/176248
http://hdl.handle.net/10533/176248
https://repositorio-qa.anid.cl/handle/10533/176248

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

A 'Generalized Trace Formula' for Bell numbers: A ``generalized trace formula'' for Bell numbers

Autoři: Alexandre Junod

Zdroj: Expositiones Mathematicae. 23:71-79

Témata: Mathematics(all), \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-calculus and related topics, congruences, Bell and Stirling numbers, Bell numbers, 0102 computer and information sciences, 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2175363
https://doi.org/10.1016/j.exmath.2005.01.015
https://www.sciencedirect.com/science/article/pii/S0723086905000162
https://core.ac.uk/display/82606301
https://www.sciencedirect.com/science/article/abs/pii/S0723086905000162

Canonical products of small order and related Pick functions

Autoři: Pedersen, Henrik Laurberg

Zdroj: Journal of Computational and Applied Mathematics. 175:245-263

Témata: Pick function, Computational Mathematics, Completely monotone function, canonical product, completely monotone function, \(q\)-gamma functions, \(q\)-beta functions and integrals, Applied Mathematics, q-gamma function, 0101 mathematics, \(q\)-gamma function, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2005JCoAM.175..245P/abstract
https://core.ac.uk/display/82229437
https://www.sciencedirect.com/science/article/abs/pii/S0377042704002316
https://www.sciencedirect.com/science/article/pii/S0377042704002316

A Class of Generalized Gamma Functions: A class of generalized gamma functions

Autoři: Jean-Paul Jurzak

Zdroj: Letters in Mathematical Physics. 71:159-171

Témata: Mathematics - Number Theory, \(q\)-gamma functions, \(q\)-beta functions and integrals, 0103 physical sciences, FOS: Mathematics, Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals), Number Theory (math.NT), 0101 mathematics, Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.), Gamma, beta and polygamma functions, infinite products, 01 natural sciences, Gamma functions

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0202270
https://link.springer.com/10.1007/s11005-005-0870-4
https://link.springer.com/article/10.1007/s11005-005-0870-4
http://ui.adsabs.harvard.edu/abs/2005LMaPh..71..159J/abstract

Numerical computations of infinite products

Autoři: Adel K. Ibrahim Medhat A. Rakha

Zdroj: Applied Mathematics and Computation. 161:271-283

Témata: numerical examples, method of gridded data interpolation, Computation of special functions and constants, construction of tables, Convergence and divergence of infinite products, \(q\)-gamma functions, \(q\)-beta functions and integrals, \(q\)-products, \(q\)-series, Infinite products, Numerical approximation and evaluation of special functions, \(q\)-beta integrals, 0101 mathematics, Gamma, beta and polygamma functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://dblp.uni-trier.de/db/journals/amc/amc161.html#IbrahimR05
https://squ.pure.elsevier.com/en/publications/numerical-computations-of-infinite-products
https://www.sciencedirect.com/science/article/pii/S0096300303012499
http://dblp.uni-trier.de/db/journals/amc/amc161.html#IbrahimR05
http://www.sciencedirect.com/science/article/pii/S0096300303012499

Hyperbolic beta integrals

Autoři: Stokman, J.V.

Zdroj: Advances in Mathematics. 190:119-160

Témata: hyperbolic beta integrals, Ramanujan beta integral, Mathematics(all), Beta integrals, Nassrallah-Rahman beta integral, Hyperbolic gamma functions, Macdonald-Mehta integral, 01 natural sciences, Askey-Wilson beta integral, hyperbolic gamma function, \(q\)-gamma functions, \(q\)-beta functions and integrals, Bibasic functions and multiple bases, Mathematics - Classical Analysis and ODEs, Macdonald–Mehta integrals, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0303178
https://zbmath.org/2126446
https://doi.org/10.1016/j.aim.2003.12.003
https://hdl.handle.net/11245/1.238305
https://doi.org/10.1016/j.aim.2003.12.003
https://dare.uva.nl/personal/pure/en/publications/hyperbolic-beta-integrals(431ba5ed-285d-46f8-a639-4dce61c2f3e1).html
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F431ba5ed-285d-46f8-a639-4dce61c2f3e1
https://dialnet.unirioja.es/servlet/articulo?codigo=1008829
https://www.sciencedirect.com/science/article/pii/S0001870804000313
https://core.ac.uk/display/85886074
https://ui.adsabs.harvard.edu/abs/2003math......3178S/abstract

The modular properties and the integral representations of the multiple elliptic gamma functions

Autoři: Atsushi Narukawa

Zdroj: Advances in Mathematics. 189:247-267

Témata: Mathematics(all), Other functions defined by series and integrals, q-Shifted factorial, 33B15, 33E30, 01 natural sciences, Modular property, \(q\)-gamma functions, \(q\)-beta functions and integrals, 33D05, Mathematics - Quantum Algebra, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Quantum Algebra (math.QA), Multiple elliptic gamma function, 0101 mathematics, Gamma, beta and polygamma functions, \(q\)-shifted factorial, Multiple sine function, Generalized q-polylogarithm, Modular and automorphic functions, multiple elliptic gamma function, Mathematics - Classical Analysis and ODEs, modular property, 11F03, Other functions coming from differential, difference and integral equations, generalized \(q\)-polylogarithm, multiple sine function, Holomorphic modular forms of integral weight

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0306164
https://zbmath.org/2136504
https://doi.org/10.1016/j.aim.2003.11.009
https://www.sciencedirect.com/science/article/pii/S0001870803003670
https://dialnet.unirioja.es/servlet/articulo?codigo=952668
https://www.sciencedirect.com/science/article/abs/pii/S0001870803003670
https://core.ac.uk/display/81968839

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