Výsledky vyhledávání - "Applications of basic hypergeometric functions"

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

Bioinspired computing nets for directionality in vision

Autoři: Gabriel de Blasio Arminda Moreno-Díaz Roberto Moreno-Díaz a další

Přispěvatelé: Gabriel de Blasio Arminda Moreno-Díaz Roberto Moreno-Díaz a další

Zdroj: Computing [ISSN 0010-485X], v. 94 (5), p. 449-462
accedaCRIS portal de investigación de la Universidad de las Palmas de Gran Canaria
instname

Témata: 0301 basic medicine, visual neural nets, 0303 health sciences, visual filters, Psychophysics and psychophysiology, perception, Visual neural nets, Systems biology, networks, Visual filters, Directionality, Probabilistic models, generic numerical methods in probability and statistics, Neural computation, 03 medical and health sciences, Neural biology, neural computation, Hermite transforms, Newton filters, Applications of basic hypergeometric functions, 1203 Ciencia de los ordenadores

Popis souboru: application/xml

Přístupová URL adresa: http://hdl.handle.net/10553/52404
https://zbmath.org/6043365
https://doi.org/10.1007/s00607-012-0186-z
https://link.springer.com/article/10.1007/s00607-012-0186-z
https://dblp.uni-trier.de/db/journals/computing/computing94.html#BlasioMM12
https://link.springer.com/content/pdf/10.1007%2Fs00607-012-0186-z.pdf
https://accedacris.ulpgc.es/handle/10553/52404

q -conformal invariant equations and q-plane wave solutions: \(q\)-conformal invariant equations and \(q\)-plane wave solutions.

Autoři: S. T. Petrov V. K. Dobrev

Zdroj: Journal of Mathematical Physics. 45:3788-3799

Témata: 81R50, Mathematics - Quantum Algebra, 17B37, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0404493
http://arxiv.org/abs/math/0404493
https://ui.adsabs.harvard.edu/abs/2004JMP....45.3788D/abstract
https://aip.scitation.org/doi/10.1063/1.1790049
https://core.ac.uk/display/21919123
https://arxiv.org/abs/math/0404493
https://arxiv.org/pdf/math/0404493v4

On q-orthogonal polynomials, dual to little and big q-Jacobi polynomials: On \(q\)-orthogonal polynomials, dual to little and big \(q\)-Jacobi polynomials

Autoři: Natig M. Atakishiyev A.U. Klimyk

Zdroj: Journal of Mathematical Analysis and Applications. 294:246-257

Témata: Little q-Jacobi polynomials, Discrete orthogonality relations, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Duality, Applied Mathematics, big \(q\)-Jacobi polynomials, 01 natural sciences, 33D80, 33D45, 17B37, little \(q\)-Jacobi polynomials, Big q-Jacobi polynomials, Jacobi matrix, Mathematics - Classical Analysis and ODEs, self-adjoint operators, Mathematics - Quantum Algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, duality, discrete orthogonality relations, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, 0101 mathematics, Analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0307250
https://www.sciencedirect.com/science/article/pii/S0022247X04001908
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04001908
https://ui.adsabs.harvard.edu/abs/2003math......7250A/abstract
https://core.ac.uk/display/82068937

The Chiral Space of Local Operators in SU (2)-Invariant Thirring Model: The chiral space of local operators in SU(2)-invariant Thirring model

Autoři: Atsushi Nakayashiki

Zdroj: Communications in Mathematical Physics. 245:279-296

Témata: FOS: Physical sciences, Model quantum field theories, Groups and algebras in quantum theory and relations with integrable systems, Mathematical Physics (math-ph), 81T40,33C70,05A30, conformal field theory, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Mathematics - Quantum Algebra, 0103 physical sciences, Applications of Lie groups to the sciences, explicit representations, FOS: Mathematics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, form factor bootstrap method, 0101 mathematics, level one integrable highest weight representation, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/pdf/math/0303192
http://arxiv.org/abs/math/0303192
https://zbmath.org/2048130
https://doi.org/10.1007/s00220-003-1013-3
https://link.springer.com/article/10.1007/s00220-003-1013-3
https://ui.adsabs.harvard.edu/abs/2004CMaPh.245..279N/abstract
https://arxiv.org/abs/math/0303192

Zeros of Solutions of a Functional Equation: Zeros of solutions of a functional equation

Autoři: Walter K. Haymana Walter Bergweiler

Zdroj: Computational Methods and Function Theory. 3:55-78

Témata: zeros of solutions, asymptotic relations, Difference equations, scaling (\(q\)-differences), theta function, Functional equations for complex functions, \(q\)-difference equation, Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, Applications of basic hypergeometric functions, Newton-Puiseux diagram, geometric sequences, 0101 mathematics, 01 natural sciences, entire functions

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/BF03321025.pdf
https://link.springer.com/article/10.1007/BF03321025

Application of basic hypergeometric series: Application of basic hypergeometric series.

Autoři: Medhat A. Rakha Essam S. El-Sedy

Zdroj: Applied Mathematics and Computation. 148:717-723

Témata: Basic hypergeometric functions, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0102 computer and information sciences, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2032658
https://doi.org/10.1016/s0096-3003(02)00930-x
http://www.sciencedirect.com/science/article/pii/S009630030200930X
https://dblp.uni-trier.de/db/journals/amc/amc148.html#RakhaE04
https://www.growkudos.com/publications/10.1016%252Fs0096-3003%2802%2900930-x/reader
https://squ.pure.elsevier.com/en/publications/application-of-basic-hypergeometric-series
https://www.sciencedirect.com/science/article/abs/pii/S009630030200930X

Variational q-calculus: Variational \(q\)-calculus.

Autoři: Gaspard Bangerezako

Zdroj: Journal of Mathematical Analysis and Applications. 289:650-665

Témata: Applied Mathematics, Difference equations, scaling (\(q\)-differences), Optimality conditions for free problems in one independent variable, Existence theories for free problems in one independent variable, Discrete version of topics in analysis, discrete calculus of variations, continuous variational calculus, Applications of basic hypergeometric functions, 0101 mathematics, \(q\)-versions, 01 natural sciences, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2057714
https://doi.org/10.1016/j.jmaa.2003.09.004
https://www.sciencedirect.com/science/article/pii/S0022247X0300667X
https://core.ac.uk/display/82651178
https://www.sciencedirect.com/science/article/abs/pii/S0022247X0300667X

Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction: Some general theorems on the explicit evaluations of Ramanujan's cubic continued fraction.

Autoři: Nayandeep Deka Baruah Nipen Saikia

Zdroj: Journal of Computational and Applied Mathematics. 160:37-51

Témata: Computational Mathematics, Elliptic functions and integrals, Binomial coefficients, factorials, \(q\)-identities, Continued fractions, Applied Mathematics, Theta series, Weil representation, theta correspondences, Theta-functions, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences, Ramanujan's cubic continued fraction

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2006414
https://doi.org/10.1016/s0377-0427(03)00612-5
https://www.sciencedirect.com/science/article/abs/pii/S0377042703006125
https://www.sciencedirect.com/science/article/pii/S0377042703006125
https://dl.acm.org/citation.cfm?id=957801.957807
http://ui.adsabs.harvard.edu/abs/2003JCoAM.160...37B/abstract

Partial Theta Functions. I. Beyond the Lost Notebook: Partial theta functions. I: Beyond the lost notebook

Autoři: Warnaar, SO

Zdroj: Proceedings of the London Mathematical Society. 87:363-395

Témata: Rogers–Ramanujan identities, Rogers-Ramanujan identities, Lattices and Combinatorics, 33D90, 33D15, 01 natural sciences, Mathematical Sciences, Partition identities, identities of Rogers-Ramanujan type, Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0102 Applied Mathematics, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematical Logic, Mathematics - Combinatorics, Quantum Algebra (math.QA), Applications of basic hypergeometric functions, 0101 mathematics, partial theta functions, the lost notebook, 05A30, \(q\)-calculus and related topics, Set Theory, Theta series, Weil representation, theta correspondences, Combinatorics (math.CO), theta function identities

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/pdf/math/0105002
http://arxiv.org/abs/math/0105002
https://zbmath.org/2002198
https://doi.org/10.1112/s002461150201403x
https://dialnet.unirioja.es/servlet/articulo?codigo=2210389
https://minerva-access.unimelb.edu.au/handle/11343/26190
https://ui.adsabs.harvard.edu/abs/2001math......5002W/abstract
http://doi.wiley.com/10.1112/S002461150201403X
https://academic.oup.com/plms/article/87/2/363/1485622
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S002461150201403X

Some discrete d-orthogonal polynomial sets: Some discrete \(d\)-orthogonal polynomial sets.

Autoři: Ali Zaghouani Youssèf Ben Cheikh

Zdroj: Journal of Computational and Applied Mathematics. 156:253-263

Témata: Orthogonal polynomials, d-dimensional functionals, Applied Mathematics, Multiple orthogonal polynomials, 01 natural sciences, multiple orthogonal polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computational Mathematics, d-orthogonal polynomials, Difference operators, Applications of basic hypergeometric functions, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0377042702009147
http://ui.adsabs.harvard.edu/abs/2003JCoAM.156..253B/abstract
http://www.sciencedirect.com/science/article/pii/S0377042702009147
https://www.sciencedirect.com/science/article/abs/pii/S0377042702009147

Integral representations of $ q$-Macdonald functions: Integral representations of \(q\)-Macdonald functions

Autoři: V. B. K. Rogov

Zdroj: Sbornik: Mathematics. 194:281-293

Témata: \(q\)-Macdonald functions, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Modified \(q\)-Bessel functions, integral representations, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences, \(q\)-Bessel functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2066148
https://ui.adsabs.harvard.edu/abs/2003SbMat.194..281R/abstract
https://www.osti.gov/scitech/biblio/21208294-integral-representations-macdonald-functions
https://stacks.iop.org/1064-5616/194/i=2/a=A06?key=crossref.72227bd4bedf4f801845271a8e9f859f

Singular behaviour of the lattice Green function for thed-dimensional hypercubic lattice: Singular behaviour of the lattice Green function for the \(d\)-dimensional hypercubic lattice.

Autoři: G S Joyce

Zdroj: Journal of Physics A: Mathematical and General. 36:911-921

Témata: 0103 physical sciences, Quantum equilibrium statistical mechanics (general), Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2003JPhA...36..911J/abstract

Septic analogues of the Rogers–Ramanujan functions: Septic analogues of the Rogers--Ramanujan functions

Autoři: Heekyoung Hahn

Zdroj: Acta Arithmetica. 110:381-399

Témata: Partitions, congruences and congruential restrictions, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.impan.pl/shop/publication/transaction/download/product/83212?download.pdf
http://journals.impan.pl/cgi-bin/doi?aa110-4-5
https://ui.adsabs.harvard.edu/abs/2003AcAri.110..381H/abstract
https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/110/4/83212/septic-analogues-of-the-rogers-8211-ramanujan-functions
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.bwnjournal-article-doi-10_4064-aa110-4-5

ANISOTROPIC STEP, SURFACE CONTACT, AND AREA WEIGHTED DIRECTED WALKS ON THE TRIANGULAR LATTICE: Anisotropic step, surface contact, and area weighted directed walks on the triangular lattice

Autoři: A. C. Oppenheim Aleksander L Owczarek Richard Brak

Zdroj: International Journal of Modern Physics B. 16:1269-1299

Témata: Directed lattice walks, triangular lattice, Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics, Enumerating Combinatorial Objects method, marked area, \(q\)-calculus and related topics, Exact enumeration problems, generating functions, 0102 computer and information sciences, Applications of basic hypergeometric functions, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2200300
https://doi.org/10.1142/s0217979202010087
https://findanexpert.unimelb.edu.au/scholarlywork/251951-anisotropic-step--surface-contact--and-area-weighted-directed-walks-on-the-triangular-lattice
https://www.worldscientific.com/doi/abs/10.1142/S0217979202010087
https://ui.adsabs.harvard.edu/abs/2002IJMPB..16.1269O/abstract
http://www.ms.unimelb.edu.au/~owczarek@unimelb/papers/pub-57-64.pdf

Some properties of q-logarithm and q-exponential functions in Tsallis statistics: Some properties of \(q\)-logarithm and \(q\)-exponential functions in Tsallis statistics

Autoři: Takuya Yamano

Zdroj: Physica A: Statistical Mechanics and its Applications. 305:486-496

Témata: \(q\)-gamma functions, \(q\)-beta functions and integrals, 0103 physical sciences, Foundations of equilibrium statistical mechanics, digamma function, Applications of basic hypergeometric functions, Gamma, beta and polygamma functions, 01 natural sciences, Mellin transform

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2002PhyA..305..486Y/abstract
https://ideas.repec.org/a/eee/phsmap/v305y2002i3p486-496.html
https://www.sciencedirect.com/science/article/abs/pii/S0378437101005672
https://econpapers.repec.org/RePEc:eee:phsmap:v:305:y:2002:i:3:p:486-496
http://www.sciencedirect.com/science/article/pii/S0378437101005672

Modular Equations for the Rogers-Ramanujan Continued Fraction and the Dedekind Eta-Function: Modular equations for the Rogers-Ramanujan continued fraction and the Dedekind eta-function

Autoři: Jinhee Yi

Zdroj: The Ramanujan Journal. 5:377-384

Témata: Dedekind eta function, Dedekind sums, Continued fractions, Dedekind eta-function, Applications of basic hypergeometric functions, modular equation, 0101 mathematics, 01 natural sciences, Rogers-Ramanujan continued fraction

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1738885
https://doi.org/10.1023/a:1013991704758
https://link.springer.com/article/10.1023%2FA%3A1013991704758

q-quantum plane,ψ(q)-umbral calculus, and all that: \(q\)-quantum plane, \(\psi (q)\)-umbral calculus, and all that.

Autoři: A. K. Kwaśniewski

Zdroj: Czechoslovak Journal of Physics. 51:1368-1373

Témata: Geometry of quantum groups, 0103 physical sciences, Umbral calculus, Applications of basic hypergeometric functions, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2098134
https://doi.org/10.1023/a:1013334406596
https://ui.adsabs.harvard.edu/abs/2001CzJPh..51.1368K/abstract
https://link.springer.com/article/10.1023%2FA%3A1013334406596
https://link.springer.com/content/pdf/10.1023/A:1013334406596.pdf

q quantum plane ψ q umbral calculus and all that: \(q\)-quantum plane, \(\psi (q)\)-umbral calculus, and all that.

Autoři: A. K. Kwaśniewski

Zdroj: Czechoslovak Journal of Physics. 51(12):1368-1373

Témata: Geometry of quantum groups, Umbral calculus, Applications of basic hypergeometric functions, Quantum groups and related algebraic methods applied to problems in quantum theory

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2098134
https://doi.org/10.1023/a:1013334406596
https://ui.adsabs.harvard.edu/abs/2001CzJPh..51.1368K/abstract
https://link.springer.com/article/10.1023%2FA%3A1013334406596
https://link.springer.com/content/pdf/10.1023/A:1013334406596.pdf

modular equations for the rogers ramanujan continued fraction and the dedekind eta function: Modular equations for the Rogers-Ramanujan continued fraction and the Dedekind eta-function

Autoři: Jinhee Yi

Zdroj: Ramanujan Journal. 5(4):377-384

Témata: Dedekind eta function, Dedekind sums, Continued fractions, Dedekind eta-function, Applications of basic hypergeometric functions, modular equation, Rogers-Ramanujan continued fraction

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1738885
https://doi.org/10.1023/a:1013991704758
https://link.springer.com/article/10.1023%2FA%3A1013991704758