Výsledky vyhledávání - "basic hypergeometric functions"

Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials

Autoři: Jayprakash Yadav

Zdroj: International Journal of Mathematics And Computer Research. 13

Témata: Generalized basic hypergeometric functions, Kober fractional integral operator, Kamp˙e de F˙eriet function

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

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

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

Autoři: K.K. Chaudhary S.B. Rao

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

Témata: 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

Popis souboru: 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

Přístupová URL adresa: https://doaj.org/article/4b9b8853aaa84d39b7cffa4f76f6b8e6

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

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

Zdroj: Discrete Mathematics. 348:114387

Témata: \(q\)-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

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8005127
https://doi.org/10.1016/j.disc.2024.114387

Classification of 2-orthogonal polynomials with Brenke type generating functions

Autoři: Hamza Chaggara Abdelhamid Gahami

Zdroj: Journal of Approximation Theory. 306:106125

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), FOS: Physical sciences, Other special orthogonal polynomials and functions, difference equations, Mathematical Physics (math-ph), 2-orthogonal polynomials, multiple orthogonal polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), 33C45, 39A70, 41A10, 41A58, Basic hypergeometric functions in one variable, \({}_r\phi_s\), generating functions, moments, Brenke polynomials, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2310.11734
https://zbmath.org/7962838
https://doi.org/10.1016/j.jat.2024.106125

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

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

Zdroj: Analysis and Applications. 17:853-895

Témata: \(q\)-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

Popis souboru: application/xml

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

A q-Analogue of the Whittaker-Shannon-Kotel'nikov Sampling Theorem

Autoři: Ismail, Mourad E. Zayed, Ahmed I.

Zdroj: Proceedings of the American Mathematical Society, 2003 Dec 01. 131(12), 3711-3719.

Přístupová URL adresa: https://www.jstor.org/stable/1194520

A review of multivariate orthogonal polynomials

Autoři: Ruiming Zhang Mourad E. H. Ismail

Zdroj: Journal of the Egyptian Mathematical Society. 25:91-110

Témata: Rodrigues formulas, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, biorthogonal functions, Zernike polynomials, \(q\)-Sturm-Liouville equations, \(q\)-Zernike polynomials, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), disc polynomials, \(2D\)-Jacobi polynomials, ladder operators, \(q\)-\(2D\)-Jacobi polynomials, \(2D\)-Laguerre polynomials, q-integrals, generating functions, zeros, connection relations, 0101 mathematics, \(q\)-\(2D\)-Laguerre polynomials

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/6774481
https://doi.org/10.1016/j.joems.2016.11.001
https://cyberleninka.org/article/n/1490639.pdf
https://www.sciencedirect.com/science/article/pii/S1110256X16300761
http://www.sciencedirect.com/science/article/pii/S1110256X16300761
https://cyberleninka.org/article/n/1490639
https://core.ac.uk/display/90838223

On the Zeros of the Big q -Bessel Functions and Applications

Autoři: Fethi Bouzeffour Hanene Ben Mansour Mubariz Garayev

Zdroj: Mathematics, Vol 8, Iss 2, p 237 (2020)

Témata: basic hypergeometric functions, completeness of sets of functions, interpolation, Mathematics, QA1-939

Relation: https://www.mdpi.com/2227-7390/8/2/237; https://doaj.org/toc/2227-7390; https://doaj.org/article/71d3744f674f4d37bb4a5dc1956e47b5

Dostupnost: https://doi.org/10.3390/math8020237
https://doaj.org/article/71d3744f674f4d37bb4a5dc1956e47b5

Integral Transforms and Operational Calculus

Autoři: Srivastava, Hari Mohan

Témata: sufficient conditions, recurrence relations, convex functions, strongly convex functions, q)-Bernstein operators, q)-analogue of tangent zeta function, starlike function, upper bound, generalization of exponential function, subordination, Bell numbers, exact solutions, advanced and deviated arguments, Riemann-Stieltjes functional integral, and Genocchi numbers, inclusion relationships, multiple Hurwitz-Euler eta function, univalent functions, Dunkl analogue, functions with positive real part, nonlinear boundary value problems, meromorphic function, distribution space, q-starlike functions, anuran calls, nonlinear boundary value problem, q)-Bleimann–Butzer–Hahn operators, ?-convex function, Bernoulli spiral, Bernoulli, existence of at least one solution, DCT, q)-analogue of tangent numbers and polynomials, higher order q-Euler numbers and polynomials, symmetric identities, fuzzy differential equations, radius estimate, zeros, analytic, multi-point, q–Bleimann–Butzer–Hahn operators, Mittag–Leffler function, TA1-2040, differential subordination, q -Hermite–Bernoulli polynomials, symmetry of the zero, strongly-starlike function, modified Kudryashov method, Liouville-Caputo fractional derivative, pseudo-Chebyshev polynomials, wavelet transform of generalized functions, highly oscillatory Bessel kernel, fractional-order differential equations, q)-integers, q-polynomials, tempered distributions, q -Hermite–Genocchi polynomials, (p, highly oscillatory, basic hypergeometric functions, recurrence relation, modulus of continuity, thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology, piecewise Hermite collocation method, K-functional, password, encryption, generalized functions, cryptography, convergence, fractional integral, spectrum symmetry, direct Hermite collocation method, nonlocal, Ulam stability, Mittag–Leffler functions, vibrating string equation, Dziok–Srivastava operator, fuzzy general linear method, tangent polynomials, Hölder condition, Lommel functions, volterra integral equation, spectral decomposition, differential operator, analytic number theory, differential inclusion, Chebyshev polynomials, Función exponencial, Liouville–Caputo-type fractional derivative, distributions, Funciones convexas, the uniqueness of the solution, integral representations, multi-strip, derivative properties, Szász operator, analytic function, uniformly convex functions, series representation, Hurwitz-Lerch zeta function, differential equation, q -Hermite–Euler polynomials, partial sum, determinant definition, infinite-point boundary conditions, higher order Schwarzian derivatives, Soluciones exactas, generalized Hukuhara differentiability, Schauder fixed point theorem, functions of bounded boundary and bounded radius rotations, Función analítica, generalized mittag-leffler function, summation formulas, starlike functions, Caputo fractional derivative, symmetric, Apostol-type polynomials and Apostol-type numbers, Euler numbers and polynomials, Fredholm integral equation, q-hypergeometric functions, Carlitz-type q-tangent polynomials, initial conditions, Struve functions, truncated-exponential polynomials, q)-Euler numbers and polynomials of higher order, Janowski star-like function, Schwartz testing function space, analytic functions, fixed point, MFCC, Janowski functions, Fourier transform, bound on derivatives, distortion theorems, generalized Kuramoto–Sivashinsky equation, strongly starlike functions, Hadamard product, Volterra integral equations, Janowski convex function, regular solution, PBKDF, natural transform, Maple graphs, rate of approximation, exponential function, Hardy space, starlike and q-starlike functions, the existence of a solution, Euler, audio features, Hankel determinant, hash, uniformly starlike and convex functions, generating functions, T1-995, tangent numbers, q -Sheffer–Appell polynomials, Mellin transform, generating relations, Carlitz-type q-tangent numbers, Hadamard product (convolution), q-derivative (or q-difference) operator, Euler and Genocchi polynomials, convolution quadrature rule, Grandi curves, Srivastava–Tomovski generalization of Mittag–Leffler function, existence, fuzzy volterra integro-differential equations, q-Euler numbers and polynomials, function spaces and their duals, monomiality principle, ?-generalized Hurwitz-Lerch zeta functions, orthogonality property, Adomian decomposition method, Hurwitz-Euler eta function, Hermite interpolation, ?-generalized Hurwitz–Lerch zeta functions, Bessel kernel, operational methods

Popis souboru: application/octet-stream; 512 páginas; application/pdf

Přístupová URL adresa: https://www.mdpi.com/books/pdfdownload/book/1817
https://mdpi.com/books/pdfview/book/1817
https://directory.doabooks.org/handle/20.500.12854/50371
https://directory.doabooks.org/handle/20.500.12854/50371
https://expeditiorepositorio.utadeo.edu.co/handle/20.500.12010/14906

Harmonic polynomials on quantum euclidean spaces: Harmonic polynomials in quantum Euclidean spaces.

Autoři: Zhelobenko D.P.

Zdroj: Doklady Akademii Nauk
Doklady Mathematics

Témata: Geometry of quantum groups, Quantum groups (quantized enveloping algebras) and related deformations, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1557348
https://openrepository.ru/article?id=260350
https://openrepository.ru/article?id=257302

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

Autoři: Milne, Stephen C.

Zdroj: Developments in Mathematics ISBN: 9781441952134

Témata: 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 souboru: application/xml

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

The reproducing kernel structure associated to Fourier type systems and their quantum analogues

Autoři: Abreu, Luís Daniel

Témata: Reproducing kernel, q-Fourier series, Orthogonal polynomials, Basic hypergeometric functions, Sampling theorems

Relation: Pré-Publicações DMUC. 05-27 (2005)

Dostupnost: https://hdl.handle.net/10316/11378

An extension of Warnaar’s matrix inversion: An extension of Warnaar's matrix inversion

Autoři: X. R. Ma

Zdroj: Proceedings of the American Mathematical Society. 133:3179-3189

Témata: Basic hypergeometric functions, Generalized hypergeometric series, \({}_pF_q\), Basic hypergeometric functions in one variable, \({}_r\phi_s\), Exact enumeration problems, generating functions, Theory of matrix inversion and generalized inverses, 0102 computer and information sciences, 0101 mathematics, Factorials, binomial coefficients, combinatorial functions, 01 natural sciences, Combinatorial identities, bijective combinatorics

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2005-133-11/S0002-9939-05-07912-8/S0002-9939-05-07912-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1376714
https://www.ams.org/proc/2005-133-11/S0002-9939-05-07912-8/S0002-9939-05-07912-8.pdf
https://www.ams.org/journals/proc/2005-133-11/S0002-9939-05-07912-8/home.html

Some Closed-Form Evaluations of Multiple Hypergeometric and q-Hypergeometric Series: Some closed-form evaluations of multiple hypergeometric and \(q\)-hypergeometric series

Autoři: Hari M. Srivastava Shy-Der Lin

Zdroj: Acta Applicandae Mathematicae. 86:309-327

Témata: 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 souboru: application/xml

Přístupová 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

BCn-symmetric polynomials: BC\(_n\)-symmetric polynomials

Autoři: Rains, Eric M.

Zdroj: Transformation Groups. 10:63-132

Témata: Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), binomial formula, \(BC_n\)-symmetric interpolation polynomials, multivariable Askey-Wilson polynomials, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Macdonald polynomials, Combinatorics (math.CO), 0101 mathematics, Koornwinder polynomials, Basic hypergeometric functions associated with root systems

Popis souboru: application/xml

Přístupová URL adresa: https://authors.library.caltech.edu/81978/2/0112035.pdf
http://arxiv.org/abs/math/0112035
https://link.springer.com/article/10.1007/s00031-005-1003-y
https://link.springer.com/content/pdf/10.1007/s00031-005-1003-y.pdf

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

Autoři: Medhat A. Rakha

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

Témata: 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 souboru: application/xml

Přístupová 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

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

Some limit relations in the A1 tableau of Dunkl-Cherednik operators: Some limit relations in the \(A_{1}\) tableau of Dunkl-Cherednik operators

Autoři: Renato Alvarez-Nodarse Universidad de Sevilla. Departamento de Análisis Matemático Ministerio de Ciencia y Tecnología (MCYT). España a další

Přispěvatelé: Renato Alvarez-Nodarse Universidad de Sevilla. Departamento de Análisis Matemático Ministerio de Ciencia y Tecnología (MCYT). España a další

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

Témata: Mathematics(all), Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), root systems, Hypergeometric functions associated with root systems, basic hypergeometric series, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), q-polynomials, 0103 physical sciences, Dunkl-Cherednik operators, 0101 mathematics, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, \(q\)-polynomials, Basic hypergeometric functions associated with root systems, hypergeometric functions

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: https://idus.us.es/xmlui/handle/11441/41721
http://hdl.handle.net/11441/41721
https://idus.us.es/handle/11441/41721
https://zbmath.org/2077005
https://doi.org/10.1016/s0019-3577(03)90047-4
https://www.sciencedirect.com/science/article/pii/S0019357703900474
https://idus.us.es/bitstream/11441/41721/1/Some%20limit%20relations%20in%20the%20A1%20tableau%20of%20Dunkl-Cherednik%20operators.pdf
https://idus.us.es/handle/11441/41721
https://www.sciencedirect.com/science/article/abs/pii/S0019357703900474
http://hera.ugr.es/doi/15059510.pdf