Suchergebnisse - "\(q\)-calculus and related topics"

Some ($p$,$q$)-integral Inequalities: Some \((p,q)\)-integral inequalities

Autoren: Türk, İlker Genç

Quelle: Sarajevo Journal of Mathematics. 20:241-248

Schlagwörter: inequalities, \(q\)-calculus and related topics, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, \((p,q)\)-derivative, \((p,q)\)-integral

Dateibeschreibung: application/xml

A Note on Extended Saigo Operators and Their q-analogues

Autoren: K. K. Chaudhary S. B. Rao

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

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

On zero behavior of higher-order Sobolev-type discrete $$q-$$Hermite I orthogonal polynomials: On zero behavior of higher-order Sobolev-type discrete \(q\)-Hermite I orthogonal polynomials

Autoren: Edmundo J. Huertas Alberto Lastra Anier Soria-Lorente et al.

Quelle: e_Buah Biblioteca Digital Universidad de Alcalá
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Schlagwörter: q-Hypergeometric series, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), \(q\)-hypergeometric series, Orthogonal polynomials, Sobolev-type orthogonal polynomials, Matemáticas, \(q\)-Hermite polynomials, q-Hermite polynomials, Binomial coefficients, factorials, \(q\)-identities, Mathematics - Classical Analysis and ODEs, \(q\)-calculus and related topics, orthogonal polynomials, Mathematics, Mathematical Physics

Dateibeschreibung: application/pdf; application/xml

Zugangs-URL: http://arxiv.org/abs/2402.03381

Unimodal sequences: From Isaac Newton to June Huh: Unimodal sequences: from Isaac Newton to June Huh

Autoren: M. Ram Murty

Quelle: International Journal of Number Theory. 20:2453-2476

Schlagwörter: Graphs and linear algebra (matrices, eigenvalues, etc.), Rota-Welsh conjecture, Sequences and sets, ADG conjecture, 0102 computer and information sciences, Combinatorial aspects of matroids and geometric lattices, unimodal sequences, 01 natural sciences, Biographies, obituaries, personalia, bibliographies, Graph polynomials, \(q\)-calculus and related topics, log-concave sequences, Newton's theorem, 0101 mathematics, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics

Dateibeschreibung: application/xml

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

Autoren: Fadel Mohammed William Ramírez Clemente Cesarano et al.

Quelle: ANNALI DELL'UNIVERSITA' DI FERRARA. 71

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Hermite–Hadamard-type inequalities for strongly $$(\alpha ,m)$$-convex functions via quantum calculus: Hermite-Hadamard-type inequalities for strongly \((\alpha, m)\)-convex functions via quantum calculus

Autoren: Shashi Kant Mishra Ravina Sharma Jaya Bisht

Quelle: Journal of Applied Mathematics and Computing. 70:4971-4994

Schlagwörter: Axiomatic and generalized convexity, strongly \((\alpha, m)\)-convex functions, Polynomial optimization, \(q\)-calculus and related topics, Hermite-Hadamard inequalities, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, quantum calculus, Hölder's inequality

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8035089
https://doi.org/10.1007/s12190-024-02135-y

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants

Autoren: Deb, Bishal

Quelle: Combinatorial Theory, vol 5, iss 1

Schlagwörter: Permutations, words, matrices, Motzkin path, permutations, S-fraction, J-fraction, almost-Dyck path, Exact enumeration problems, generating functions, Permutations, T-fraction, continued fraction, 05A19 (Primary) 05A05, 05A10, 05A15, 05A30, 11B68, 30B70 (Secondary), Laguerre digraphs, Schröder path, \(q\)-calculus and related topics, FOS: Mathematics, Mathematics - Combinatorics, Dyck path, Combinatorics (math.CO), D-permutations, Foata-Zeilberger bijection, Bernoulli and Euler numbers and polynomials, Factorials, binomial coefficients, combinatorial functions, Combinatorial identities, bijective combinatorics, Continued fractions, complex-analytic aspects

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2304.14487
https://zbmath.org/8017587
https://doi.org/10.5070/c65165020
https://escholarship.org/uc/item/35r6q8zv
https://escholarship.org/content/qt35r6q8zv/qt35r6q8zv.pdf

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

Autoren: Mulugeta Dawud Ali D. L. Suthar

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

Schlagwörter: \(q\)-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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: K. K. Chaudhary S. B. Rao

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

Schlagwörter: 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

Colored q-Stirling and q-Lah numbers: A new view continued: Colored \(q\)-Stirling and \(q\)-Lah numbers: a new view continued

Autoren: Sen-Peng Eu Louis Kao Juei-Yin Lin

Quelle: Advances in Applied Mathematics. 168:102889

Schlagwörter: Combinatorics of partially ordered sets, Lah numbers, topological interpretations, \(q\)-calculus and related topics, Exact enumeration problems, generating functions, \(q\)-analog, \(r\)-colored combinatorial structures, partially-ordered set, Stirling numbers

Dateibeschreibung: application/xml

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Autoren: K.K. Chaudhary S.B. Rao

Quelle: Researches in Mathematics, Vol 32, Iss 1, Pp 16-32 (2024)

Schlagwörter: basic hypergeometric functions in one variable ${}_r \phi _s$, q-calculus and related topics, mittag-leffler functions and generalizations, integral transforms of special functions, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://vestnmath.dnu.dp.ua/index.php/rim/article/view/414/414; https://doaj.org/toc/2664-4991; https://doaj.org/toc/2664-5009

Zugangs-URL: https://doaj.org/article/4b9b8853aaa84d39b7cffa4f76f6b8e6

Novel notions of symmetric Hahn calculus and related inequalities

Autoren: Saad Ihsan Butt Muhammad Nasim Aftab Asfand Fahad et al.

Quelle: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-24 (2024)

Schlagwörter: Symmetric Quantum calculus, Difference equations, scaling (\(q\)-differences), symmetric Hahn calculus, Hölder's inequality, Inequalities involving derivatives and differential and integral operators, symmetric quantum calculus, 01 natural sciences, Convexity of real functions in one variable, generalizations, Hahn calculus, Symmetric Hahn calculus, Hermite-Hadamard inequality, \(q\)-calculus and related topics, QA1-939, Inequalities for sums, series and integrals, 0101 mathematics, Mathematics

Dateibeschreibung: application/xml

Zugangs-URL: https://doaj.org/article/4336bd341f5e474a9c4a3c0b9e797139

A proof of the symmetric theta trees conjecture when q = 0: A proof of the symmetric theta trees conjecture when \(q = 0\)

Autoren: Caraceni, Alessandra Iraci, Alessandro

Quelle: Discrete Mathematics. 348:114413

Schlagwörter: Symmetric functions and generalizations, theta operators, bijection, Symmetric functions, Tiered trees, Bijection, \(q\)-calculus and related topics, tiered trees, symmetric functions, Dyck paths, Trees

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: https://zbmath.org/8005150
https://doi.org/10.1016/j.disc.2025.114413
https://hdl.handle.net/11568/1312707
https://doi.org/10.1016/j.disc.2025.114413

Elementary derivations of the Rogers-Fine identity and other q-series identities: Elementary derivations of the Rogers-Fine identity and other \(q\)-series identities

Autoren: Chan, Heng Huat Chan, Song Heng Liu, Zhi-Guo

Quelle: Discrete Mathematics. 348:114387

Schlagwörter: \(q\)-Chu-Vandermonde identity, Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-calculus and related topics, quintuple product identity, \(q\)-series, elementary proof, Rogers-Ramanujan identity, Holomorphic modular forms of integral weight, Rogers-Fine identity, Combinatorial identities, bijective combinatorics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8005127
https://doi.org/10.1016/j.disc.2024.114387

On post quantum integral inequalities

Autoren: Muhammad Uzair Awan Yu-Ming Chu Khalida Inayat Noor et al.

Quelle: Journal of Mathematical Inequalities. :629-654

Schlagwörter: preinvexity, Hermite-Hadamard inequality, convexity, \(q\)-calculus and related topics, Inequalities for sums, series and integrals, 0101 mathematics, quantum calculus, 01 natural sciences, Convexity of real functions in one variable, generalizations

Dateibeschreibung: application/xml

Zugangs-URL: http://files.ele-math.com/abstracts/jmi-15-46-abs.pdf

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

Autoren: Muhammad Samraiz Maria Malik Saima Naheed et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

q-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials: \(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials

Autoren: Zeinab S. Mansour Mourad E. H. Ismail

Quelle: Analysis and Applications. 17:853-895

Schlagwörter: \(q\)-analog of Bernoulli polynomials, Difference equations, scaling (\(q\)-differences), basic hypergeometric series, 01 natural sciences, Power series (including lacunary series) in one complex variable, two-point \(q\)-Taylor series, \(q\)-analog of Lidstone expansion theorem, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Cauchy kernel, \(q\)-calculus and related topics, 8. Economic growth, 0101 mathematics, Bernoulli and Euler numbers and polynomials, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7115545
https://doi.org/10.1142/s0219530518500264
https://www.worldscientific.com/doi/abs/10.1142/S0219530518500264

Rescaling the nonadditivity parameter in Tsallis thermostatistics

Autoren: Jan Korbel

Quelle: Physics Letters A. 381:2588-2592

Schlagwörter: Measures of information, entropy, \(q\)-deformed algebra, MaxEnt distribution, Statistical Mechanics (cond-mat.stat-mech), \(q\)-calculus and related topics, 0103 physical sciences, FOS: Physical sciences, Mathematical Physics (math-ph), Tsallis entropy, 01 natural sciences, Mathematical Physics, Condensed Matter - Statistical Mechanics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1705.00481
http://arxiv.org/abs/1705.00481
https://arxiv.org/abs/1705.00481
https://www.sciencedirect.com/science/article/pii/S037596011730614X
https://arxiv.org/pdf/1705.00481
https://core.ac.uk/display/83854479
http://ui.adsabs.harvard.edu/abs/2017PhLA..381.2588K/abstract

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

Autoren: Muhammad Aslam Noor Artion Kashuri Muhammad Uzair Awan et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

On p-adic gamma function related to q-Daehee polynomials and numbers

Autoren: Duran, Ugur Açikgöz, Mehmet

Quelle: Proyecciones (Antofagasta); Vol. 38 No. 4 (2019); 799-810 ; Proyecciones. Revista de Matemática; Vol. 38 Núm. 4 (2019); 799-810 ; 0717-6279 ; 10.22199/issn.0717-6279-2019

Schlagwörter: p-adic numbers, p-adic gamma function, p-adic Euler constant, Mahler expansion, q-Daehee polynomials, Stirling numbers of the first kind, 05A10, Factorials, binomial coefficients, combinatorial functions, 05A30, q-calculus and related topics, 11B65, q-identities, 11S80, Other analytic theory (analogues of beta and gamma functions, p-adic integration, etc.), 33B15, Gamma, beta and polygamma functions

Dateibeschreibung: application/pdf

Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3107/3254; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3107

Verfügbarkeit: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3107
https://doi.org/10.22199/issn.0717-6279-2019-04-0052