Found 63 Documents (Results 1–63)
Some characterizations of the symmetric \(q\)-Dunkl-semiclassical orthogonal \(q\)-polynomials. (English) Zbl 1542.33015
Reviewer: Lotfi Khériji (Tunis)
A special family of non-symmetric semi-classical forms of class one. (English) Zbl 07829376
Reviewer: Alexei Lukashov (Moskva)
Characterization of the \(D\)-Laguerre-Hahn orthogonal polynomials of class one via the cubic decomposition. (English) Zbl 1531.33022
The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case. (English) Zbl 07692672
Reviewer: Marcel G. de Bruin (Heemstede)
Division problem of a regular symmetric form the case \(x^3 u = \lambda xv\). (English) Zbl 1530.42048
On some perturbed \(q\)-Laguerre-Hahn orthogonal \(q\)-polynomials. (English) Zbl 1524.33053
Reviewer: Marcel G. de Bruin (Heemstede)
On the characterizations of third-degree semiclassical forms via polynomial mappings. (English) Zbl 1527.33005
Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials. (English) Zbl 1508.33009
On the Christoffel product of a \(D\)-Laguerre-Hahn form by a polynomial of one degree. (English) Zbl 1488.33031
The \(D_w\)-Laguerre-Hahn forms of class zero. (English) Zbl 1460.33013
Reviewer: Iris Athamaica Lopez Palacios (Caracas)
Third-degree semiclassical forms of class one arising from cubic decomposition. (English) Zbl 1451.33007
Reviewer: Ahmed I. Zayed (Chicago)
MSC:
33C45
The symmetric semi-classical orthogonal polynomials of class two and some of their extensions. (English) Zbl 1439.33003
Reviewer: Bujar Fejzullahu (Presevo)
Laguerre-Freud equations associated with the D-Laguerre-Hahn forms of class one. (English) Zbl 1428.33024
Characterization of the symmetric \(D\)-Laguerre-Hahn orthogonal polynomial sequences of even class via the quadratic decomposition. (English) Zbl 1396.33019
Dunkl-semiclassical orthogonal polynomials. The symmetric case. (English) Zbl 1401.42028
Reviewer: M. Abdessadek Saib (Tebessa)
A large family of \(D_w\)-semiclassical polynomials of class one. (English) Zbl 1370.33012
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Discrete Painlevé equations for recurrence coefficients of Laguerre-Hahn orthogonal polynomials of class one. (English) Zbl 1350.33015
Reviewer: Chrysoula G. Kokologiannaki (Patras)
A general method for deriving some semi-classical properties of perturbed second degree forms: the case of the Chebyshev form of second kind. (English) Zbl 1343.33005
A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials. (English) Zbl 1342.42025
Reviewer: Howard Cohl (Gaithersburg)
Some linear functionals having classical orthogonal polynomials as moments. (English) Zbl 1298.33009
Reviewer: Małgorzata Michalska (Lublin)
A characterization of symmetric \(T_{\mu}-\)classical monic orthogonal polynomials by a structure relation. (English) Zbl 1291.42020
Reviewer: M. Abdessadek Saib (Tebessa)
Quadratic decomposition of the symmetric semi-classical polynomial sequences of odd class: some examples from the class three. (English) Zbl 1432.33011
On a family of a semiclassical orthogonal polynomial sequences of class two. (English) Zbl 1283.33007
Reviewer: Manoubi Méjri (Gabes)
Connection coefficients for orthogonal polynomials: Symbolic computations, verifications and demonstrations in the Mathematica language. (English) Zbl 1296.68201
Characterizations of a special family of third-degree semi-classical forms of class one. (English) Zbl 1276.33010
Reviewer: Alicia Cachafeiro López (Vigo)
Characterization of basic sets of orthogonal \(q\)-polynomials via some \(q\)-difference equations. (English) Zbl 1264.33012
Semi-classical linear functionals of class three: the symmetric case. (English) Zbl 1260.42016
Reviewer: Peter Massopust (München)
Quadratic decomposition of a family of \(H_q\)-semiclassical orthogonal polynomial sequences. (English) Zbl 1268.42042
A note on the Dunkl-classical orthogonal polynomials. (English) Zbl 1260.42019
Reviewer: H.-J. Glaeske (Jena)
Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the case \(s=2\). (English) Zbl 1254.42034
Reviewer: Marcel G. de Bruin (Haarlem)
On semiclassical linear functionals of class \(s=2\): classification and integral representations. (English) Zbl 1250.42081
Reviewer: Andrei Martínez Finkelshtein (Almeria)
A non-symmetric second-degree semi-classical form of class one. (English) Zbl 1247.33012
Reviewer: Alicia Cachafeiro López (Vigo)
Lowering operators associated with D-Laguerre-Hahn polynomials. (English) Zbl 1234.33014
Reviewer: Stamatis Koumandos (Nicosia)
On the Laguerre-Hahn intertwining operator and application to connection formulas. (English) Zbl 1218.47068
Reviewer: Chrysoula G. Kokologiannaki (Patras)
A large family of symmetric Laguerre-Hahn polynomials of class two. (English) Zbl 1218.33013
Reviewer: Carsten Schneider (Linz)
\(q\)-extension of generalized Gegenbauer polynomials. (English) Zbl 1204.42040
Reviewer: Marcel G. de Bruin (Haarlem)
Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials. (English) Zbl 1204.33008
Some new results about a set of semi-classical polynomials of class \(s=1\). (English) Zbl 1200.33014
Reviewer: Sunil Dutt Purohit (Udaipur)
Orthogonal polynomials and second-order pseudo-spectral linear differential equations. (English) Zbl 1197.42015
Reviewer: Alicia Cachafeiro López (Vigo)
On the inverse problem of the product of a form by a monomial: the case \(n=4\). I. (English) Zbl 1184.42022
Reviewer: Alicia Cachafeiro López (Vigo)
The symmetric \(D_{\omega}\)-semi-classical orthogonal polynomials of class one. (English) Zbl 1181.42028
Reviewer: Renato Alvarez-Nodarse (Sevilla)
MSC:
42C05
Generalized Jacobi orthogonal polynomials. (English) Zbl 1134.42014
Reviewer: Andrei Martínez Finkelshtein (Almeria)
Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin. (English) Zbl 1134.42329
Some symmetric semi-classical orthogonal polynomials of class \(0\leq s\leq 5\). (English) Zbl 1103.33006
Reviewer: Aleksey A. Dovgoshey (Donetsk)
Symmetric semi-classical forms of class \(s\leq 2\) generalizing Hermite. (English) Zbl 1098.33004
Reviewer: Nicolae Cotfas (Bucureşti)
Third degree classical forms. (English) Zbl 1013.33004
Reviewer: H.-J.Glaeske (Jena)
A family of singular semi-classical functionals. (English) Zbl 1031.42025
Reviewer: Leonid Golinskii (Kharkov)
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