Výsledky vyhledávání - "Orthogonal polynomials and functions in several variables"

Ladder operators for generalized Zernike or disk polynomials

Autoři: Misael E. Marriaga

Zdroj: BURJC-Digital. Repositorio Institucional de la Universidad Rey Juan Carlos
Universidad Rey Juan Carlos

Témata: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), disk polynomials, ladder operators, Orthogonal polynomials, Mathematics - Classical Analysis and ODEs, Ladder operators, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Disk polynomials, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, 42C05, 33C50, 33C45

Popis souboru: application/pdf; application/xml

Přístupová URL adresa: http://arxiv.org/abs/2405.02988
https://hdl.handle.net/10115/85697
https://zbmath.org/8037496
https://doi.org/10.1007/s40590-025-00748-2

Stability properties of disk polynomials

Autoři: J. M. Carnicer E. Mainar J. M. Peña

Zdroj: Numerical Algorithms. 87:119-135

Témata: disk polynomials, Approximation by polynomials, conditioning, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Numerical computation of matrix norms, conditioning, scaling, Multidimensional problems, Zernike polynomials, Lebesgue constant, 0101 mathematics, orthogonal polynomials, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7340119
https://doi.org/10.1007/s11075-020-00960-3
https://dblp.uni-trier.de/db/journals/na/na87.html#CarnicerMP21
https://link.springer.com/article/10.1007/s11075-020-00960-3

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

A formula for polynomials with Hermitian matrix argument

Autoři: Cristina Balderrama Wilfredo Urbina Piotr Graczyk

Zdroj: Bulletin des Sciences Mathématiques. 129:486-500

Témata: Mathematics(all), generalized orthogonal polynomials, 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, Berezin-Karpelevich type formula, Connections of hypergeometric functions with groups and algebras, and related topics, Generalized orthogonal polynomials, 0101 mathematics, Symmetric functions, 01 natural sciences, Schur functions, Schur polynomials

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2196684
https://doi.org/10.1016/j.bulsci.2005.01.002
https://core.ac.uk/display/82041203
https://www.sciencedirect.com/science/article/pii/S0007449705000138
https://www.sciencedirect.com/science/article/abs/pii/S0007449705000138

An asymptotic formula for polynomials orthonormal with respect to a varying weight

Autoři: A. V. Komlov S. P. Suetin

Zdroj: Transactions of the Moscow Mathematical Society. 73:139-159

Témata: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), equilibrium distributions, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), strong asymptotics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 0103 physical sciences, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, 01 natural sciences, varying weight, 6. Clean water, orthonormal polynomials

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/mosc/2012-73-00/S0077-1554-2013-00204-6/S0077-1554-2013-00204-6.pdf
http://ui.adsabs.harvard.edu/abs/2014SbMat.205.1334K/abstract
https://www.ams.org/mosc/2012-73-00/S0077-1554-2013-00204-6/S0077-1554-2013-00204-6.pdf
https://www.ams.org/journals/mosc/2012-73-00/S0077-1554-2013-00204-6/home.html

Series identities and associated families of generating functions

Autoři: Kung-Yu Chen Hari M. Srivastava

Zdroj: Journal of Mathematical Analysis and Applications. 311:582-599

Témata: Hypergeometric functions and polynomials, Generalized hypergeometric series, \({}_pF_q\), hypergeometric functions and polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, series identities, Other special orthogonal polynomials and functions, double series identities, 01 natural sciences, Generating functions, Other hypergeometric functions and integrals in several variables, Quadratic transformations, generating functions, Pfaff–Saalschütz theorem, Whipple's transformation, 0101 mathematics, Series identities, hypergeometric functions in two variables, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2217433
https://doi.org/10.1016/j.jmaa.2005.03.030
https://www.sciencedirect.com/science/article/pii/S0022247X05001903
https://core.ac.uk/display/82178105
https://www.sciencedirect.com/science/article/abs/pii/S0022247X05001903
http://ui.adsabs.harvard.edu/abs/2005JMAA..311..582C/abstract

Orthogonality properties of the Hermite and related polynomials

Autoři: K. V. Zhukovsky Giuseppe Dattoli Hari M. Srivastava

Zdroj: Journal of Computational and Applied Mathematics. 182:165-172

Témata: Exponential operators, Hermite polynomials, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Other special orthogonal polynomials and functions, Orthogonality property, Operational identities, Higher-order Hermite (or Gould–Hopper) polynomials, 01 natural sciences, Biorthogonal functions, Generating functions, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Integral formulas, Computational Mathematics, Multi-index Hermite polynomials, multivariable and multi-index Hermite polynomials, orthogonality property, Laguerre polynomials, 0101 mathematics, Gauss–Weierstrass transform, Hermite–Kampé de Fériet (HKdF) polynomials, operational methods

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2184012
https://doi.org/10.1016/j.cam.2004.10.021
https://www.sciencedirect.com/science/article/abs/pii/S0377042704006089
https://core.ac.uk/display/82220339
http://ui.adsabs.harvard.edu/abs/2005JCoAM.182..165D/abstract
https://dl.acm.org/citation.cfm?id=1716721
https://www.sciencedirect.com/science/article/pii/S0377042704006089

Some properties of complex matrix-variate generalized Dirichlet integrals

Autoři: Arak M. Mathai Joy Jacob Sebastian George

Zdroj: Proceedings Mathematical Sciences. 115:241-249

Témata: 15A57, 60E05, 62E15, 62H10, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Liouville models, type-2 Dirichlet model, Mathematics - Logic, 02 engineering and technology, Dirichlet integral, complex matrix-variate beta random variables, 01 natural sciences, Jacobians of matrix transformations, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Logic (math.LO), hermitian positive definite matrices

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0607625
https://link.springer.com/article/10.1007%2FBF02829655

Classical orthogonal polynomials in two variables: a matrix approach

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

Zdroj: Numerical Algorithms. 39:131-142

Témata: 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 souboru: application/xml

Přístupová 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

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

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

Témata: 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 souboru: application/xml

Přístupová 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

Generalized translation operator and approximation in several variables

Autoři: Yuan Xu

Zdroj: Journal of Computational and Applied Mathematics. 178:489-512

Témata: Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Multidimensional problems, General harmonic expansions, frames, Modulus of smoothness, 01 natural sciences, Approximation by other special function classes, \(K\)-functional, Computational Mathematics, Several variables, modulus of smoothness, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Best approximation, Translation operator, 0101 mathematics, K-functional, translation operator, best approximation, several variables

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0401417
https://dl.acm.org/doi/10.5555/1075051.1716659
http://www.sciencedirect.com/science/article/pii/S0377042704003954
https://core.ac.uk/display/82417227
https://www.sciencedirect.com/science/article/pii/S0377042704003954
https://darkwing.uoregon.edu/~yuan/paper/JCAM.pdf
http://ui.adsabs.harvard.edu/abs/2005JCoAM.178..489X/abstract

Some properties of the five-dimensional surface harmonics

Autoři: J A Evans J P Elliott

Zdroj: Journal of Physics A: Mathematical and General. 38:5507-5529

Témata: Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Nuclear physics, eigenfunctions, 01 natural sciences, Atomic physics, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Laplace operator, harmonics, 0103 physical sciences, 0101 mathematics, Spherical harmonics, Legendre function, Selfadjoint operator theory in quantum theory, including spectral analysis

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2005JPhA...38.5507E/abstract
https://iopscience.iop.org/article/10.1088/0305-4470/38/24/006
https://iopscience.iop.org/article/10.1088/0305-4470/38/24/006/pdf

GENERALIZED FOURIER EXPANSIONS OF DIFFERENTIABLE FUNCTIONS ON THE SPHERE: Generalized Fourier expansions of differentiable functions on the sphere

Autoři: Francisco Javier González Vieli

Zdroj: Glasgow Mathematical Journal. 47:339-345

Témata: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, 06 humanities and the arts, 0101 mathematics, 0603 philosophy, ethics and religion, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6D87E9172EC8E3E3B6CDC1388B36D7CD/S0017089505002570a.pdf/div-class-title-generalized-fourier-expansions-of-differentiable-functions-on-the-sphere-div.pdf
https://www.cambridge.org/core/journals/glasgow-mathematical-journal/article/generalized-fourier-expansions-of-differentiable-functions-on-the-sphere/6D87E9172EC8E3E3B6CDC1388B36D7CD
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/6D87E9172EC8E3E3B6CDC1388B36D7CD/S0017089505002570a.pdf/div-class-title-generalized-fourier-expansions-of-differentiable-functions-on-the-sphere-div.pdf

A summation formula for Clausen's series3F2(1) with an application to Goursat's function2F2(x): A summation formula for Clausen's series \(_3F_2(1)\) with an application to Goursat's function \(_2F_2(x)\)

Autoři: Allen R. Miller

Zdroj: Journal of Physics A: Mathematical and General. 38:3541-3545

Témata: Generalized hypergeometric series, \({}_pF_q\), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, summation formulae, Confluent hypergeometric functions, Whittaker functions, \({}_1F_1\), 0101 mathematics, Kampé de Fériet function, 01 natural sciences, transformation formulae, generalized hypergeometric series

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2174767
https://doi.org/10.1088/0305-4470/38/16/005
https://iopscience.iop.org/article/10.1088/0305-4470/38/16/005/meta
http://iopscience.iop.org/article/10.1088/0305-4470/38/16/005/pdf
http://ui.adsabs.harvard.edu/abs/2005JPhA...38.3541M/abstract

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

Monomial orthogonal polynomials of several variables

Autoři: Yuan Xu

Zdroj: Journal of Approximation Theory. 133:1-37

Témata: Mathematics(all), Numerical Analysis, \(h\)-harmonics, orthogonal polynomials of several variables, Symmetric orthogonal polynomials, h-harmonics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, General harmonic expansions, frames, 01 natural sciences, Orthogonal polynomials and functions associated with root systems, Orthogonal polynomials of several variables, Best L2 approximation, 0101 mathematics, symmetric orthogonal polynomials, Analysis, best \(L^2\) approximation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2165387
https://doi.org/10.1016/j.jat.2004.12.012
https://core.ac.uk/display/81959167
https://darkwing.uoregon.edu/~yuan/paper/Monomial.pdf
https://dblp.uni-trier.de/db/journals/jat/jat133.html#Xu05
https://www.sciencedirect.com/science/article/pii/S0021904504002199
https://pages.uoregon.edu/yuan/paper/Monomial.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1362970

Rodrigues type formula for orthogonal polynomials on the unit ball

Autoři: Yuan Xu

Zdroj: Proceedings of the American Mathematical Society. 133:1965-1976

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://www.ams.org/proc/2005-133-07/S0002-9939-05-07885-8/S0002-9939-05-07885-8.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1244703
https://documat.unirioja.es/servlet/articulo?codigo=1244703
https://www.ams.org/journals/proc/2005-133-07/S0002-9939-05-07885-8/home.html
https://pages.uoregon.edu/yuan/paper/Rodrig.pdf
https://www.ams.org/proc/2005-133-07/S0002-9939-05-07885-8/S0002-9939-05-07885-8.pdf

PARTIAL DIFFERENTIAL EQUATIONS FOR PRODUCTS OF TWO CLASSICAL ORTHOGONAL POLYNOMIALS: Partial differential equations for products of two classical orthogonal polynomials

Autoři: D.W. Lee

Zdroj: Bulletin of the Korean Mathematical Society. 42:179-188

Témata: Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, product of classical orthogonal polynomials, Spectral theory and eigenvalue problems for partial differential equations, orthogonal polynomial systems in two variables, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.ndsl.kr/soc_img/society/kms/E1BMAX/2005/v42n1/E1BMAX_2005_v42n1_179.pdf
https://zbmath.org/2162887
https://doi.org/10.4134/bkms.2005.42.1.179
http://koreascience.or.kr/journal/view.jsp?kj=E1BMAX&py=2005&vnc=v42n1&sp=179
http://www.koreascience.or.kr/article/ArticleFullRecord.jsp?cn=E1BMAX_2005_v42n1_179
http://www.ndsl.kr/soc_img/society/kms/E1BMAX/2005/v42n1/E1BMAX_2005_v42n1_179.pdf

Integral representations for multiple Hermite and multiple Laguerre polynomials: Integral representations for multiple Hermite and multiple Laguerre polynomials.

Autoři: Arno B. J. Kuijlaars Pavel Bleher

Zdroj: Annales de l’institut Fourier. 55:2001-2014

Témata: 30E20, 42C05, Random matrices (algebraic aspects), Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, Multiple orthogonal polynomials, FOS: Physical sciences, Mathematical Physics (math-ph), random matrices, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Classical Analysis and ODEs, 0103 physical sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, Christoffel-Darboux formula, Mathematical Physics

Popis souboru: application/xml

Přístupová URL adresa: http://www.numdam.org/item/10.5802/aif.2148.pdf
http://arxiv.org/abs/math/0406616
https://aif.centre-mersenne.org/item/AIF_2005__55_6_2001_0/
http://ui.adsabs.harvard.edu/abs/2004math......6616B/abstract
https://aif.centre-mersenne.org/item/10.5802/aif.2148.pdf
https://core.ac.uk/display/34346320
https://eudml.org/doc/116240
https://arxiv.org/pdf/math/0406616

Bessel summation formulae and operational methods

Autoři: G. DATTOLI MIGLIORATI, Mauro H. M. SRIVASTAVA

Zdroj: Journal of Computational and Applied Mathematics. 173:149-154

Témata: Computational Mathematics, Applied Mathematics, Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable, summation formulae, 0103 physical sciences, generalized Bessel functions, Other special orthogonal polynomials and functions, Bessel and Airy functions, cylinder functions, \({}_0F_1\), 0101 mathematics, 01 natural sciences, operational method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2127091
https://doi.org/10.1016/j.cam.2004.03.002
https://dialnet.unirioja.es/servlet/articulo?codigo=1003192
https://dl.acm.org/doi/abs/10.1016/j.cam.2004.03.002
https://www.sciencedirect.com/science/article/abs/pii/S037704270400144X
https://core.ac.uk/display/82357349
https://www.sciencedirect.com/science/article/pii/S037704270400144X
http://ui.adsabs.harvard.edu/abs/2005JCoAM.173..149D/abstract
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=000224905700008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=0c7ff228ccbaaa74236f48834a34396a
https://doi.org/10.1016/j.cam.2004.03.002
https://hdl.handle.net/11573/44823