Výsledky vyhľadávania - "Orthogonal polynomials in two variables"

Quadratic transformations for orthogonal polynomials in one and two variables

Autori: Koornwinder, T.H. Konno, H. Sakai, H. a ďalší

Prispievatelia: Koornwinder, T.H. Konno, H. Sakai, H. a ďalší

Zdroj: Representation Theory, Special Functions and Painlevé Equations — RIMS 2015, H. Konno, H. Sakai, J. Shiraishi, T. Suzuki and Y. Yamada, eds. (Tokyo: Mathematical Society of Japan, 2018)

Predmety: Koornwinder polynomials in two variables, 33C52, 33D45, quadratic transformations, $BC_2$-type Jacobi polynomials, 33D52, 01 natural sciences, 33C45, ($q$-)Askey scheme, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, orthogonal polynomials, 33C45, 33C52, 33D45, 33D52, orthogonal polynomials in two variables

Popis súboru: application/pdf

Prístupová URL adresa: https://arxiv.org/pdf/1512.09294
http://arxiv.org/abs/1512.09294
https://dare.uva.nl/personal/pure/en/publications/quadratic-transformations-for-orthogonal-polynomials-in-one-and-two-variables(4b6af96d-fe2c-453c-becc-a640814a2a25).html
https://doi.org/10.2969/aspm/07610419
https://hdl.handle.net/11245.1/4b6af96d-fe2c-453c-becc-a640814a2a25
https://www.narcis.nl/publication/RecordID/oai%3Adare.uva.nl%3Apublications%2F4b6af96d-fe2c-453c-becc-a640814a2a25
https://arxiv-vanity.com/papers/1512.09294
https://pure.uva.nl/ws/files/46923054/Quadratic_transformations_for_orthogonal_polynomials.pdf
https://projecteuclid.org/ebooks/advanced-studies-in-pure-mathematics/Representation%20Theory
%20Special%20Functions%20and%20Painlev%c3%a9%20Equations%20%e2%80%94%20RIMS%202015/chapter/Quadratic%20transformations%20for%20orthogonal%20polynomials%20in%20one%20and%20two%20variables/10.2969/aspm/07610419
https://projecteuclid.org/euclid.aspm/1537499432

On semiclassical families of bivariate orthogonal polynomials

Thesis Advisors: Marcellán Español, Francisco José, Piñar González, Miguel Ángel, Pérez Fernández, Teresa Encarnación, Universidad Carlos III de Madrid. Departamento de Matemáticas

Predmety: Orthogonal polynomials in two variables, Bivariate orthogonal polynomials, Matemáticas

Prístupová URL adresa: http://hdl.handle.net/10016/26642

Orthogonal Polynomial Eigenfunctions of Second-Order Partial Differential Equations

Autori: Kwon, K. H. Lee, J. K. Littlejohn, L. L.

Zdroj: Transactions of the American Mathematical Society, 2001 Sep 01. 353(9), 3629-3647.

Prístupová URL adresa: https://www.jstor.org/stable/2693806

Bivariate Version of the Hahn-Sonine Theorem

Autori: Lee, Jeongkeun

Zdroj: Proceedings of the American Mathematical Society, 2000 Aug 01. 128(8), 2381-2391.

Prístupová URL adresa: https://www.jstor.org/stable/119828

On Koornwinder classical orthogonal polynomials in two variables

Autori: Miguel A. Piñar Lidia Fernández Teresa E. Pérez

Zdroj: Journal of Computational and Applied Mathematics. 236:3817-3826

Predmety: Classical orthogonal polynomials in two variables, 0101 mathematics, Orthogonal polynomials in two variables, 01 natural sciences

Prístupová URL adresa: https://dl.acm.org/doi/10.1016/j.cam.2011.08.017
https://www.sciencedirect.com/science/article/pii/S0377042711004638
https://www.sciencedirect.com/science/article/abs/pii/S0377042711004638
https://dl.acm.org/citation.cfm?id=2228768
https://core.ac.uk/display/82418642
http://dblp.uni-trier.de/db/journals/jcam/jcam236.html#FernandezPP12

Orthogonal polynomials in two variables as solutions of higher order partial differential equations

Autori: Lidia Fernández Miguel A. Piñar Teresa E. Pérez

Zdroj: Journal of Approximation Theory. 163:84-97

Predmety: Mathematics(all), Numerical Analysis, Applied Mathematics, Classical orthogonal polynomials, Partial differential equations, 01 natural sciences, classical orthogonal polynomials, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), partial differential equations, 0101 mathematics, Orthogonal polynomials in two variables, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials in two variables, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/5840455
https://doi.org/10.1016/j.jat.2009.08.007
https://core.ac.uk/display/82344308
https://www.sciencedirect.com/science/article/pii/S0021904509001658
https://dblp.uni-trier.de/db/journals/jat/jat163.html#FernandezPP11
https://dialnet.unirioja.es/servlet/articulo?codigo=3350955
https://documat.unirioja.es/servlet/articulo?codigo=3350955

Sobolev orthogonal polynomials on product domains

Autori: Miguel A. Piñar Francisco Marcellán Lidia Fernández a ďalší

Zdroj: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
instname

Predmety: Sobolev inner products, Matemáticas, Mathematics - Classical Analysis and ODEs, Classical orthogonal polynomials, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C50, 42C10, 0101 mathematics, 16. Peace & justice, Orthogonal polynomials in two variables, 01 natural sciences, Product domain

Popis súboru: application/pdf

Prístupová URL adresa: http://arxiv.org/abs/1406.0762
https://hdl.handle.net/10016/23407
http://hdl.handle.net/10016/23407
https://dialnet.unirioja.es/servlet/articulo?codigo=5173907
https://doi.org/10.1016/j.cam.2014.09.015
https://dblp.uni-trier.de/db/journals/jcam/jcam284.html#FernandezMPPX15
https://www.sciencedirect.com/science/article/pii/S0377042714004117

Sobolev orthogonal polynomials in two variables and second order partial differential equations

Autori: Lance L. Littlejohn Jeong Keun Lee

Zdroj: Journal of Mathematical Analysis and Applications. 322:1001-1017

Predmety: Sobolev orthogonal polynomials in two variables, Second order partial differential equations, Bilinear symmetric form, Applied Mathematics, 0101 mathematics, Orthogonal polynomials in two variables, 01 natural sciences, Analysis

Prístupová URL adresa: https://core.ac.uk/display/82275945
https://www.sciencedirect.com/science/article/abs/pii/S0022247X05009790
https://www.sciencedirect.com/science/article/pii/S0022247X05009790
https://ui.adsabs.harvard.edu/abs/2006JMAA..322.1001L/abstract

New steps on Sobolev orthogonality in two variables

Autori: Bracciali, Cleonice Fátima Delgado, Antonia M. Fernandez, Lidia a ďalší

Prispievatelia: Bracciali, Cleonice Fátima Delgado, Antonia M. Fernandez, Lidia a ďalší

Zdroj: Journal of Computational and Applied Mathematics. 235:916-926

Predmety: Sobolev orthogonal polynomials, Computational Mathematics, Applied Mathematics, Classical orthogonal polynomials, 0101 mathematics, Orthogonal polynomials in two variables, 01 natural sciences

Prístupová URL adresa: https://dblp.uni-trier.de/db/journals/jcam/jcam235.html#BraccialiDFPP10
https://www.sciencedirect.com/science/article/pii/S0377042710003924
https://documat.unirioja.es/servlet/articulo?codigo=3348419
https://dialnet.unirioja.es/servlet/articulo?codigo=3348419
https://core.ac.uk/display/82451691
https://repositorio.unesp.br/handle/11449/21818

Bivariate orthogonal polynomials in the Lyskova class

Autori: Lidia Fernández Miguel A. Piñar María Álvarez de Morales a ďalší

Zdroj: Journal of Computational and Applied Mathematics. 233:597-601

Predmety: Computational Mathematics, Applied Mathematics, Classical orthogonal polynomials in two variables, Lyskova class, 0101 mathematics, 01 natural sciences

Prístupová URL adresa: https://core.ac.uk/display/81137137
https://ui.adsabs.harvard.edu/abs/2009JCoAM.233..597A/abstract
https://www.sciencedirect.com/science/article/pii/S0377042709001010
https://www.sciencedirect.com/science/article/abs/pii/S0377042709001010
https://documat.unirioja.es/servlet/articulo?codigo=3079844
https://dialnet.unirioja.es/servlet/articulo?codigo=3079844

A matrix Rodrigues formula for classical orthogonal polynomials in two variables

Autori: Lidia Fernández Miguel A. Piñar María Álvarez de Morales a ďalší

Zdroj: Journal of Approximation Theory. 157:32-52

Predmety: Mathematics(all), Numerical Analysis, Applied Mathematics, Classical orthogonal polynomials, 42C05 (Primary) 33C50 (Secondary), 01 natural sciences, Mathematics - Classical Analysis and ODEs, Kronecker power of a matrix, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Orthogonal polynomials in two variables, Rodrigues formula, Analysis

Prístupová URL adresa: http://arxiv.org/abs/math/0610128
https://www.sciencedirect.com/science/article/abs/pii/S002190450800155X
https://documat.unirioja.es/servlet/articulo?codigo=2987603
https://dialnet.unirioja.es/servlet/articulo?codigo=2987603
https://www.sciencedirect.com/science/article/pii/S002190450800155X
https://core.ac.uk/display/81140232

Semiclassical orthogonal polynomials in two variables

Autori: Miguel A. Piñar María Álvarez de Morales Lidia Fernández a ďalší

Zdroj: Journal of Computational and Applied Mathematics. 207:323-330

Predmety: Structure relation, Computational Mathematics, Applied Mathematics, 0101 mathematics, Semiclassical orthogonal polynomials, Orthogonal polynomials in two variables, 01 natural sciences

Prístupová URL adresa: https://core.ac.uk/display/82523394
https://www.sciencedirect.com/science/article/abs/pii/S037704270600608X
https://ui.adsabs.harvard.edu/abs/2007JCoAM.207..323A/abstract
https://www.sciencedirect.com/science/article/abs/pii/S037704270600608X#!
https://www.sciencedirect.com/science/article/pii/S037704270600608X

Second order partial differential equations for gradients of orthogonal polynomials in two variables

Autori: Lidia Fernández Miguel A. Piñar Teresa E. Pérez

Zdroj: Journal of Computational and Applied Mathematics. 199:113-121

Predmety: Computational Mathematics, Matrix Pearson equation, Applied Mathematics, Classical orthogonal polynomials, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, Orthogonal polynomials in two variables, 01 natural sciences

Prístupová URL adresa: http://hera.ugr.es/doi/16655576.pdf
https://core.ac.uk/display/82537908
https://www.sciencedirect.com/science/article/pii/S0377042705007430
https://ui.adsabs.harvard.edu/abs/2007JCoAM.199..113F/abstract

A result on common zeros location of orthogonal polynomials in two variables

Autori: Zhaoliang Meng Zhongxuan Luo

Zdroj: Journal of Mathematical Analysis and Applications. 324:785-789

Predmety: Orthogonal polynomials of two variables, Invariant factors, Applied Mathematics, 0101 mathematics, 01 natural sciences, Common zeros location, Analysis

Prístupová URL adresa: https://core.ac.uk/display/82274304
https://www.sciencedirect.com/science/article/pii/S0022247X05013156
http://www.sciencedirect.com/science/article/pii/S0022247X05013156
https://www.sciencedirect.com/science/article/pii/S0022247X05013156#!
https://ui.adsabs.harvard.edu/abs/2006JMAA..324..785L/abstract

Classical orthogonal polynomials in two variables: a matrix approach

Autori: Teresa E. Pérez Lidia Fernández Miguel A. Piñar

Zdroj: Numerical Algorithms. 39:131-142

Predmety: Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences, orthogonal polynomials in two variables, classical orthogonal polynomials

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2170133
https://doi.org/10.1007/s11075-004-3625-x
https://link.springer.com/content/pdf/10.1007/s11075-004-3625-x.pdf
https://dblp.uni-trier.de/db/journals/na/na39.html#FernandezPP05
https://link.springer.com/article/10.1007%2Fs11075-004-3625-x
http://ui.adsabs.harvard.edu/abs/2005NuAlg..39..131F/abstract
http://hera.ugr.es/doi/15771611.pdf

Weak classical orthogonal polynomials in two variables

Autori: Lidia Fernández Miguel A. Piñar Teresa E. Pérez

Zdroj: Journal of Computational and Applied Mathematics. 178:191-203

Predmety: Computational Mathematics, Applications of hypergeometric functions, Applied Mathematics, Classical orthogonal polynomials, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, weak classical orthogonal polynomials, moment functional, Connections of hypergeometric functions with groups and algebras, and related topics, Other special orthogonal polynomials and functions, 0101 mathematics, Orthogonal polynomials in two variables, 01 natural sciences, Pearson differential equation

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/2157668
https://doi.org/10.1016/j.cam.2004.08.010
https://www.sciencedirect.com/science/article/abs/pii/S0377042704003863#!
https://core.ac.uk/display/82078139
https://www.sciencedirect.com/science/article/pii/S0377042704003863

Two-Dimensional Krall–Sheffer Polynomials andQuantum Systems on Spaces with Constant Curvature: Two-dimensional Krall-Sheffer polynomials and quantum systems on spaces with constant curvature

Autori: Alexei Zhedanov Luc Vinet

Zdroj: Letters in Mathematical Physics. 65:83-94

Predmety: integrable systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Groups and algebras in quantum theory and relations with integrable systems, Other special orthogonal polynomials and functions, 0101 mathematics, 01 natural sciences, orthogonal polynomials in two variables

Popis súboru: application/xml

Prístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2003LMaPh..65...83V/abstract
https://link.springer.com/article/10.1023/B:MATH.0000004361.34059.55

Stieltjes Type Theorems for Orthogonal Polynomials of Two Variables: Stieltjes type theorems for orthogonal polynomials of two variables

Autori: Ren-Hong Wang Zhongxuan Luo

Zdroj: Journal of Mathematical Analysis and Applications. 268:171-183

Predmety: orthogonal polynomials of two variables, invariant factor, Stieltjies type theorems, Applied Mathematics, Stieltjes-type (Markov-type) theorems, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, 01 natural sciences, Analysis

Popis súboru: application/xml

Prístupová URL adresa: https://core.ac.uk/display/82690008
https://www.sciencedirect.com/science/article/pii/S0022247X01978072

Bivariate version of the Hahn-Sonine theorem

Autori: Jeong Keun Lee

Zdroj: Proceedings of the American Mathematical Society. 128:2381-2391

Predmety: Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, moment functional, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 01 natural sciences, orthogonal polynomials in two variables, Hahn-Sonine theorem

Popis súboru: application/xml

Prístupová URL adresa: https://www.ams.org/proc/2000-128-08/S0002-9939-00-05648-3/S0002-9939-00-05648-3.pdf
https://www.ams.org/journals/proc/2000-128-08/S0002-9939-00-05648-3/home.html
https://dialnet.unirioja.es/servlet/articulo?codigo=708240
https://www.ams.org/proc/2000-128-08/S0002-9939-00-05648-3/S0002-9939-00-05648-3.pdf
https://www.jstor.org/stable/119828

Partial differential equations having orthogonal polynomial solutions

Autori: Kim, YJ Kwon, KH Kwon, Kil Hyun Lee, JK

Zdroj: Journal of Computational and Applied Mathematics. 99:239-253

Predmety: symmetrizable operators, Rodrigues type formula, Computational Mathematics, Applied Mathematics, Symmetrizability, Other special orthogonal polynomials and functions, Other functions coming from differential, difference and integral equations, 0101 mathematics, Orthogonal polynomials in two variables, Partial differential equations, 01 natural sciences, Solutions to PDEs in closed form

Popis súboru: application/xml

Prístupová URL adresa: https://zbmath.org/1326371
https://doi.org/10.1016/s0377-0427(98)00160-5
https://www.sciencedirect.com/science/article/abs/pii/S0377042798001605
https://koasas.kaist.ac.kr/handle/10203/69372
https://www.sciencedirect.com/science/article/pii/S0377042798001605
http://directory.umm.ac.id/Data%20Elmu/jurnal/J-a/Journal%20of%20Computational%20And%20Applied%20Mathematics/Vol99.Issue1-2.1998/2617.pdf