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Author ID: ronveaux.andre Recent zbMATH articles by "Ronveaux, André"
Published as: Ronveaux, A.; Ronveaux, André; Ronveaux, Andre
External Links: MGP · ResearchGate · dblp
all top 5

Serials

37 Journal of Computational and Applied Mathematics
7 Journal of Physics A: Mathematical and General
5 Journal of Approximation Theory
5 Journal of Symbolic Computation
4 Applied Mathematics and Computation
4 Annales de la Société Scientifique de Bruxelles. Série I
4 Journal of Difference Equations and Applications
3 Journal of Mathematical Physics
3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
3 Bulletin de la Société Royale des Sciences de Liège
3 Numerical Algorithms
3 SIAM Journal on Mathematical Analysis
3 Integral Transforms and Special Functions
3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
2 Applicationes Mathematicae
1 Archive for History of Exact Sciences
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 Revue des Questions Scientifiques, 5. Série
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 Mathematics Magazine
1 Canadian Mathematical Bulletin
1 Portugaliae Mathematica
1 SIGSAM Bulletin
1 Simon Stevin
1 Bulletin de la Société Matheḿatique de Belgique. Série B
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 ETNA. Electronic Transactions on Numerical Analysis
1 Annals of Numerical Mathematics
1 IMACS Annals on Computing and Applied Mathematics
1 Lecture Notes in Mathematics
1 Communications in Mathematical Analysis
1 Annals of the University of Bucharest. Mathematical Series
1 Chiffres, Revue de l’Association Française de Calcul et de Traitement de l’Information

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 1,537 times in 934 Documents Cited by Year
Heun’s differential equations. Zbl 0847.34006
377
1995
On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. Zbl 0764.33003
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
48
1992
On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021
Marcellan, F.; Dehesa, J. S.; Ronveaux, A.
46
1990
Recurrence relations for connection coefficients between two families of orthogonal polynomials. Zbl 0876.65005
Ronveaux, A.; Zarzo, A.; Godoy, E.
45
1995
On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016
Marcellan, F.; Ronveaux, A.
44
1990
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
42
1997
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
36
1995
Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
33
1998
Laguerre-Freud’s equations for the recurrence coefficients of semi- classical orthogonal polynomials. Zbl 0802.42022
Belmehdi, S.; Ronveaux, A.
33
1994
Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. Zbl 0988.33008
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
31
2001
Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015
Ronveaux, André; Van Assche, Walter
29
1996
Fourth-order differential equations for numerator polynomials. Zbl 0661.33009
Ronveaux, A.
27
1988
On a system of “classical” polynomials of simultaneous orthogonality. Zbl 0857.42012
Kaliaguine, V.; Ronveaux, A.
25
1996
Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A.
25
1997
Co-recursive orthogonal polynomials and fourth-order differential equation. Zbl 0662.33005
Ronveaux, A.; Marcellan, F.
24
1989
Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
22
2004
Sur une perturbation de la récurrence vérifiée par une suite de polynômes orthogonaux. (On a perturbation of the recurrence relation verified by a sequence of orthogonal polynomials). Zbl 0681.33016
Dini, J.; Maroni, P.; Ronveaux, A.
20
1989
Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
20
1995
Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. Zbl 0862.33006
Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A.
18
1996
Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials. Zbl 0688.33008
Ronveaux, A.; Belmehdi, S.; Dini, J.; Maroni, P.
17
1990
Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
1999
Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
2004
Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0795.33001
Zarzo, A.; Ronveaux, A.; Godoy, E.
16
1993
Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
15
2012
Discrete semi-classical orthogonal polynomials: generalized Meixner. Zbl 0591.42015
Ronveaux, A.
15
1986
The fourth-order differential equation satisfied by the associated orthogonal polynomials. Zbl 0731.33008
Belmehdi, S.; Ronveaux, A.
15
1991
Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0835.42013
Ronveaux, A.; Zarzo, A.; Godoy, E.
14
1995
Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one. Zbl 0931.33009
Foupouagnigni, M.; Hounkonnou, M. N.; Ronveaux, A.
14
1998
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
13
1997
Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027
13
1991
Factorization of the Heun’s differential operator. Zbl 1035.34100
Ronveaux, A.
13
2003
Differential equation for classical-type orthogonal polynomials. Zbl 0685.33008
Ronveaux, A.; Marcellan, F.
12
1989
Discrete semi-classical orthogonal polynomials: Generalized Charlier. Zbl 0971.42015
Hounkonnou, M. N.; Hounga, C.; Ronveaux, A.
12
2000
On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
12
1998
Transverse limits in the Askey tableau. Zbl 0936.33004
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
12
1998
Recurrence relations for connection coefficients between \(q\)-orthogonal polynomials of discrete variables in the non-uniform lattice \(x(s)=q^{2s}\). Zbl 0932.33026
Álvarez-Nodarse, R.; Ronveaux, A.
11
1996
Difference equation for associated polynomials on a linear lattice. Zbl 0887.39001
Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B.
11
1996
Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
11
2004
Sur l’équation différentielle du second ordre satisfaite par une classe de polynômes orthogonaux semi-classiques. (On the second order differential equation satisfied by a class of semi-classical orthogonal polynomials). Zbl 0621.33014
Ronveaux, André
11
1987
Formes canoniques des équations confluentes de l’équation de Heun. Zbl 0381.33004
Decarreau, A.; Dumont-Lepage, M.-Cl.; Maroni, P.; Robert, A.; Ronveaux, A.
11
1978
Factorization of some confluent Heun’s differential equations. Zbl 1126.34307
Hounkonnou, Mahouton Norbert; Ronveaux, André; Sodoga, Komi
10
2007
4th order differential equations and orthogonal polynomials of the Laguerre-Hahn class. Zbl 0834.34014
Ronveaux, A.
10
1991
Fourth-order difference equation for the associated Meixner and Charlier polynomials. Zbl 0856.33008
Letessier, Jean; Ronveaux, André; Valent, Galliano
10
1996
Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
10
2000
Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A.
10
1998
Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006
Foupouagnigni, M.; Ronveaux, A.; Koepf, W.
10
1999
Generalized linearization problems. Zbl 0867.33003
Ronveaux, A.; Hounkonnou, M. N.; Belmehdi, S.
10
1995
Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
1998
Some 4th order differential equations related to classical orthogonal polynomials. Zbl 0757.34013
Ronveaux, A.
9
1989
Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
9
2003
Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. Zbl 1047.33009
Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro
8
2000
Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. Zbl 1067.39033
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
8
2005
Non-standard orthogonality for Meixner polynomials. Zbl 0949.33004
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André
7
1999
Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. Zbl 0906.33003
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I.
7
1998
Linearization of arbitrary products of classical orthogonal polynomials. Zbl 0997.33002
Hounkonnou, Mahouton Norbert; Belmehdi, Said; Ronveaux, André
7
2000
Connection problems for polynomial solutions of nonhomogeneous differential and difference equations. Zbl 0933.65147
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
7
1998
About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations. Zbl 1175.34008
Hounkonnou, Mahouton Norbert; Ronveaux, André
7
2009
Linearization of the product of orthogonal polynomials of a discrete variable. Zbl 0891.33006
Belmehdi, S.; Lewanowicz, S.; Ronveaux, A.
7
1997
Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials. Zbl 1213.01127
Mawhin, Jean; Ronveaux, André
7
2010
Discrete orthogonal polynomials – polynomial modification of a classical functional. Zbl 0991.33002
Ronveaux, A.; Salto, L.
6
2001
Orthogonal polynomials: Connection and linearization coefficients. Zbl 0928.33009
Ronveaux, A.
6
1997
On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
6
2003
Polynômes orthogonaux dont les polynômes derives sont quasi orthogonaux. Zbl 0431.33006
Ronveaux, Andre
6
1979
Quasi-orthogonality and differential equations. Zbl 0687.33013
Ronveaux, A.
5
1990
Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation. Zbl 0846.33007
Zarzo, A.; Yáñez, R. J.; Ronveaux, A.; Dehesa, J. S.
5
1995
The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \({\mathcal D}_q\)-Laguerre-Hahn class. Zbl 0996.33009
Foupouagnigni, M.; Ronveaux, A.; Hounkonnou, M. N.
5
2001
Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
5
1998
On the linearization problem involving Pochhammer symbols and their \(q\)-analogues. Zbl 0934.33026
Álvarez-Nodarse, R.; Quintero, N. R.; Ronveaux, A.
5
1999
Some generalized Jacobi polynomials. Zbl 1075.33002
Atia, M. J.; Alaya, J.; Ronveaux, A.
5
2003
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
5
2003
Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. Zbl 1065.33010
Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A.
5
2004
New families of orthogonal polynomials. Zbl 1093.33004
Hounga, C.; Hounkonnou, M. N.; Ronveaux, A.
5
2006
Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. Zbl 1039.39009
Foupouagnigni, M.; Ronveaux, A.
5
2003
On the harmonic and monogenic decomposition of polynomials. Zbl 0681.68046
Brackx, F.; Constales, D.; Ronveaux, A.; Serras, H.
4
1989
Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials. Zbl 0989.39007
Foupouagnigni, M.; Ronveaux, A.
4
2001
The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class. Zbl 0948.65140
Foupouagnigni, Mama; Hounkonnou, M. Norbert; Ronveaux, André
4
1999
Gel’fand lattice polynomials and irreducible representations of U(n). Zbl 0389.22014
Gazeau, J.-P.; Dumont-Lepage, M.-Cl.; Ronveaux, A.
4
1978
About families of orthogonal polynomials satisfying Heun’s differential equation. Zbl 1462.33004
Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André
4
2021
Harmonic polynomials invariant under a finite subgroup of O(n). Zbl 0517.22019
Ronveaux, A.; Saint-Aubin, Yvan
3
1983
Interlacing properties of the zeros of the derivative, associated and adjacent of semi-classical and classical orthogonal polynomials. Zbl 0831.33004
Ronveaux, A.; Belmehdi, S.
3
1995
Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. Zbl 0966.33006
Dimitrov, Dimitar K.; Ronveaux, André
3
2001
Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. Zbl 1094.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
3
2006
Newton sum rules of zeros of semiclassical orthogonal polynomials. Zbl 0713.65035
Zarzo, A.; Dehesa, J. S.; Ronveaux, A.
3
1990
Sobolev inner products and orthogonal polynomials of Sobolev type. Zbl 0785.33006
Ronveaux, A.
3
1992
Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A.
3
2015
Factorization of generalized Lamé and Heun’s differential equations. Zbl 1209.34008
Hounkonnou, M. N.; Ronveaux, A.
3
2011
Stieltjes sums for zeros of orthogonal polynomials. Zbl 0827.42011
Ronveaux, André; Muldoon, Martin E.
2
1995
Zeros of Jacobi functions of second kind. Zbl 1089.33003
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
2
2006
Three lectures on classical orthogonal polynomials. Zbl 0986.33001
Ronveaux, A.
2
2000
Decomposition of polynomials with respect to the cyclic group of order \(m\). Zbl 0947.65057
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
2
1999
Expansion of multivariable polynomials in products of orthogonal polynomials in one variable. Zbl 1025.40003
Ronveaux, A.; Rebillard, L.
2
2002
Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. Zbl 0930.33005
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André
2
1998
A priori bound on the first zero of some special functions. Zbl 0283.34031
Ronveaux, A.; Moussiaux, A.
2
1974
Potentiels spheroidaux pour l’équation de Schrödinger. I: Caractérisation d’un etat lie. Zbl 0313.35021
Ronveaux, André; Dumont-Lepage, Marie-Claire; Gérard, Raymonde
2
1975
Bounds on the number of poles of the solution of a general Riccati equation. Zbl 0378.34006
Ronveaux, A.; Dumont-Lepage, M-C.; Habay, J.
2
1977
Elliptic and ultrahyperbolic differential operators connected by Hurwitz transformations. Zbl 0659.35003
Lambert, D.; Ronveaux, A.
1
1988
Laguerre-Freud equations for the recurrence coefficients of some discrete semi-classical orthogonal polynomials of class two. Zbl 1125.42012
Hounga, C.; Hounkonnou, M. N.; Ronveaux, A.
1
2006
Differential equations of some orthogonal families in REDUCE. Zbl 0688.65015
Ronveaux, A.; Thiry, G.
1
1989
Laguerre-Freud equations for semi-classical operators. Zbl 0977.81018
Azatassou, E.; Hounkonnou, M. N.; Ronveaux, A.
1
2000
Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case. Zbl 1013.33007
Rebillard, L.; Ronveaux, A.
1
2001
About families of orthogonal polynomials satisfying Heun’s differential equation. Zbl 1462.33004
Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André
4
2021
Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A.
3
2015
Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
15
2012
Factorization of generalized Lamé and Heun’s differential equations. Zbl 1209.34008
Hounkonnou, M. N.; Ronveaux, A.
3
2011
Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials. Zbl 1213.01127
Mawhin, Jean; Ronveaux, André
7
2010
About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations. Zbl 1175.34008
Hounkonnou, Mahouton Norbert; Ronveaux, André
7
2009
Orthogonal polynomials—centroid of their zeroes. Zbl 1181.42030
Ronveaux, André
1
2008
Factorization of some confluent Heun’s differential equations. Zbl 1126.34307
Hounkonnou, Mahouton Norbert; Ronveaux, André; Sodoga, Komi
10
2007
Orthogonal polynomials and the Bézout identity. Zbl 1126.33005
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
1
2007
New families of orthogonal polynomials. Zbl 1093.33004
Hounga, C.; Hounkonnou, M. N.; Ronveaux, A.
5
2006
Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. Zbl 1094.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
3
2006
Zeros of Jacobi functions of second kind. Zbl 1089.33003
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
2
2006
Laguerre-Freud equations for the recurrence coefficients of some discrete semi-classical orthogonal polynomials of class two. Zbl 1125.42012
Hounga, C.; Hounkonnou, M. N.; Ronveaux, A.
1
2006
Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. Zbl 1067.39033
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
8
2005
Rediscovering the contributions of Rodrigues on the representation of special functions. Zbl 1083.33008
Ronveaux, André; Mawhin, Jean
1
2005
Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
22
2004
Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
2004
Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
11
2004
Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. Zbl 1065.33010
Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A.
5
2004
Factorization of the Heun’s differential operator. Zbl 1035.34100
Ronveaux, A.
13
2003
Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
9
2003
On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. Zbl 1062.33010
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
6
2003
Some generalized Jacobi polynomials. Zbl 1075.33002
Atia, M. J.; Alaya, J.; Ronveaux, A.
5
2003
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
5
2003
Difference equations for the co-recursive \(r\)th associated orthogonal polynomials of the \(D _{q}\)-Laguerre-Hahn class. Zbl 1039.39009
Foupouagnigni, M.; Ronveaux, A.
5
2003
Expansion of multivariable polynomials in products of orthogonal polynomials in one variable. Zbl 1025.40003
Ronveaux, A.; Rebillard, L.
2
2002
Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. Zbl 0988.33008
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
31
2001
Discrete orthogonal polynomials – polynomial modification of a classical functional. Zbl 0991.33002
Ronveaux, A.; Salto, L.
6
2001
The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \({\mathcal D}_q\)-Laguerre-Hahn class. Zbl 0996.33009
Foupouagnigni, M.; Ronveaux, A.; Hounkonnou, M. N.
5
2001
Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials. Zbl 0989.39007
Foupouagnigni, M.; Ronveaux, A.
4
2001
Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. Zbl 0966.33006
Dimitrov, Dimitar K.; Ronveaux, André
3
2001
Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case. Zbl 1013.33007
Rebillard, L.; Ronveaux, A.
1
2001
Factorization of the Heun operator. (Factorisation de l’opérateur de Heun.) Zbl 1102.34331
Ronveaux, André
1
2001
Discrete semi-classical orthogonal polynomials: Generalized Charlier. Zbl 0971.42015
Hounkonnou, M. N.; Hounga, C.; Ronveaux, A.
12
2000
Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
10
2000
Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. Zbl 1047.33009
Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro
8
2000
Linearization of arbitrary products of classical orthogonal polynomials. Zbl 0997.33002
Hounkonnou, Mahouton Norbert; Belmehdi, Said; Ronveaux, André
7
2000
Three lectures on classical orthogonal polynomials. Zbl 0986.33001
Ronveaux, A.
2
2000
Laguerre-Freud equations for semi-classical operators. Zbl 0977.81018
Azatassou, E.; Hounkonnou, M. N.; Ronveaux, A.
1
2000
Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
1999
Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials. Zbl 0952.33006
Foupouagnigni, M.; Ronveaux, A.; Koepf, W.
10
1999
Non-standard orthogonality for Meixner polynomials. Zbl 0949.33004
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André
7
1999
On the linearization problem involving Pochhammer symbols and their \(q\)-analogues. Zbl 0934.33026
Álvarez-Nodarse, R.; Quintero, N. R.; Ronveaux, A.
5
1999
The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class. Zbl 0948.65140
Foupouagnigni, Mama; Hounkonnou, M. Norbert; Ronveaux, André
4
1999
Decomposition of polynomials with respect to the cyclic group of order \(m\). Zbl 0947.65057
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
2
1999
Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
33
1998
Laguerre-Freud equations for the recurrence coefficients of \(D_{\omega}\) semi-classical orthogonal polynomials of class one. Zbl 0931.33009
Foupouagnigni, M.; Hounkonnou, M. N.; Ronveaux, A.
14
1998
On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
12
1998
Transverse limits in the Askey tableau. Zbl 0936.33004
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
12
1998
Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A.
10
1998
Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
1998
Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. Zbl 0906.33003
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I.
7
1998
Connection problems for polynomial solutions of nonhomogeneous differential and difference equations. Zbl 0933.65147
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
7
1998
Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
5
1998
Orthogonal polynomials associated with a nondiagonal Sobolev inner product with polynomial coefficients. Zbl 0930.33005
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André
2
1998
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
42
1997
Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A.
25
1997
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
13
1997
Linearization of the product of orthogonal polynomials of a discrete variable. Zbl 0891.33006
Belmehdi, S.; Lewanowicz, S.; Ronveaux, A.
7
1997
Orthogonal polynomials: Connection and linearization coefficients. Zbl 0928.33009
Ronveaux, A.
6
1997
Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015
Ronveaux, André; Van Assche, Walter
29
1996
On a system of “classical” polynomials of simultaneous orthogonality. Zbl 0857.42012
Kaliaguine, V.; Ronveaux, A.
25
1996
Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. Zbl 0862.33006
Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A.
18
1996
Recurrence relations for connection coefficients between \(q\)-orthogonal polynomials of discrete variables in the non-uniform lattice \(x(s)=q^{2s}\). Zbl 0932.33026
Álvarez-Nodarse, R.; Ronveaux, A.
11
1996
Difference equation for associated polynomials on a linear lattice. Zbl 0887.39001
Atakishiyev, N. M.; Ronveaux, A.; Wolf, K. B.
11
1996
Fourth-order difference equation for the associated Meixner and Charlier polynomials. Zbl 0856.33008
Letessier, Jean; Ronveaux, André; Valent, Galliano
10
1996
Heun’s differential equations. Zbl 0847.34006
377
1995
Recurrence relations for connection coefficients between two families of orthogonal polynomials. Zbl 0876.65005
Ronveaux, A.; Zarzo, A.; Godoy, E.
45
1995
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
36
1995
Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
20
1995
Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0835.42013
Ronveaux, A.; Zarzo, A.; Godoy, E.
14
1995
Generalized linearization problems. Zbl 0867.33003
Ronveaux, A.; Hounkonnou, M. N.; Belmehdi, S.
10
1995
Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation. Zbl 0846.33007
Zarzo, A.; Yáñez, R. J.; Ronveaux, A.; Dehesa, J. S.
5
1995
Interlacing properties of the zeros of the derivative, associated and adjacent of semi-classical and classical orthogonal polynomials. Zbl 0831.33004
Ronveaux, A.; Belmehdi, S.
3
1995
Stieltjes sums for zeros of orthogonal polynomials. Zbl 0827.42011
Ronveaux, André; Muldoon, Martin E.
2
1995
Laguerre-Freud’s equations for the recurrence coefficients of semi- classical orthogonal polynomials. Zbl 0802.42022
Belmehdi, S.; Ronveaux, A.
33
1994
Fourth-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros. Zbl 0795.33001
Zarzo, A.; Ronveaux, A.; Godoy, E.
16
1993
Towards new solutions of the general Hurwitz problem. Zbl 0813.15011
Lambert, D.; Ronveaux, A.
1
1993
On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. Zbl 0764.33003
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
48
1992
Sobolev inner products and orthogonal polynomials of Sobolev type. Zbl 0785.33006
Ronveaux, A.
3
1992
The fourth-order differential equation satisfied by the associated orthogonal polynomials. Zbl 0731.33008
Belmehdi, S.; Ronveaux, A.
15
1991
Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027
13
1991
4th order differential equations and orthogonal polynomials of the Laguerre-Hahn class. Zbl 0834.34014
Ronveaux, A.
10
1991
Orthogonality with respect to the sum of two semiclassical regular linear forms. Zbl 0768.33010
Ronveaux, A.; Belmehdi, S.; Marcellán, F.
1
1991
On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021
Marcellan, F.; Dehesa, J. S.; Ronveaux, A.
46
1990
On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016
Marcellan, F.; Ronveaux, A.
44
1990
Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials. Zbl 0688.33008
Ronveaux, A.; Belmehdi, S.; Dini, J.; Maroni, P.
17
1990
Quasi-orthogonality and differential equations. Zbl 0687.33013
Ronveaux, A.
5
1990
Newton sum rules of zeros of semiclassical orthogonal polynomials. Zbl 0713.65035
Zarzo, A.; Dehesa, J. S.; Ronveaux, A.
3
1990
Co-recursive orthogonal polynomials and fourth-order differential equation. Zbl 0662.33005
Ronveaux, A.; Marcellan, F.
24
1989
Sur une perturbation de la récurrence vérifiée par une suite de polynômes orthogonaux. (On a perturbation of the recurrence relation verified by a sequence of orthogonal polynomials). Zbl 0681.33016
Dini, J.; Maroni, P.; Ronveaux, A.
20
1989
Differential equation for classical-type orthogonal polynomials. Zbl 0685.33008
Ronveaux, A.; Marcellan, F.
12
1989
Some 4th order differential equations related to classical orthogonal polynomials. Zbl 0757.34013
Ronveaux, A.
9
1989
On the harmonic and monogenic decomposition of polynomials. Zbl 0681.68046
Brackx, F.; Constales, D.; Ronveaux, A.; Serras, H.
4
1989
Differential equations of some orthogonal families in REDUCE. Zbl 0688.65015
Ronveaux, A.; Thiry, G.
1
1989
Fourth-order differential equations for numerator polynomials. Zbl 0661.33009
Ronveaux, A.
27
1988
Elliptic and ultrahyperbolic differential operators connected by Hurwitz transformations. Zbl 0659.35003
Lambert, D.; Ronveaux, A.
1
1988
Sur l’équation différentielle du second ordre satisfaite par une classe de polynômes orthogonaux semi-classiques. (On the second order differential equation satisfied by a class of semi-classical orthogonal polynomials). Zbl 0621.33014
Ronveaux, André
11
1987
Discrete semi-classical orthogonal polynomials: generalized Meixner. Zbl 0591.42015
Ronveaux, A.
15
1986
On nonbijective canonical transformations in mathematical physics. Zbl 0709.53512
Lambert, D.; Kibler, M.; Ronveaux, A.
1
1986
...and 9 more Documents
all top 5

Cited by 903 Authors

76 Marcellán Español, Francisco
66 Ronveaux, André
49 Area, Iván
42 Godoy, Eduardo Paciência
29 Zarzo, Alejandro
22 Foupouagnigni, Mama
21 Ishkhanyan, Artur Michaĭlovich
19 Bakke, Knut
17 Lewanowicz, Stanisław
15 Durán, Antonio José
15 Koepf, Wolfram A.
14 Chen, Yang
14 Dominici, Diego Ernesto
14 Moreno-Balcázar, Juan José
13 Dehesa, Jesús S.
13 Dimitrov, Dimitar K.
13 Dong, Shihai
13 Vieira, H. S.
12 Álvarez-Nodarse, Renato
11 Bezerra, Valdir Barbosa
11 Sun, Guohua
10 Ahmed, Faizuddin
10 Belich, Humberto
10 Filipuk, Galina V.
10 Martínez-Finkelshtein, Andrei
10 Van Assche, Walter
10 Zhedanov, Alexei S.
9 Hod, Shahar
9 Kwon, Kil Hyun
9 Vinet, Luc
9 Vitória, R. L. L.
8 Alfaro García, Manuel
8 Branquinho, Amílcar José Pinto Lopes
8 Chaggara, Hamza
8 Dai, Wusheng
8 Dong, Qian
8 Dueñas, Herbert
8 Hounkonnou, Mahouton Norbert
8 Huertas Cejudo, Edmundo José
8 Li, Wen-Du
8 Rezola, María Luisa
7 Aktaş, Rabia
7 Birkandan, Tolga
7 Doha, Eid H.
7 Ismail, Mourad El-Houssieny
7 López, José Luis
7 Pérez, Teresa E.
7 Rafaeli, Fernando Rodrigo
7 Woźny, Paweł
6 Atia, Mohamed Jalel
6 Bavinck, Herman
6 Cunha, M. S.
6 Mañas-Mañas, Juan F.
6 Maroni, Pascal
6 Piñar, Miguel A.
6 Takemura, Kouichi
6 Tcheutia, Daniel Duviol
5 Alhaidari, Abdulaziz D.
5 Aloui, Baghdadi
5 Arvesú, Jorge
5 Batic, Davide
5 Belmehdi, Said
5 da Rocha, Zélia
5 Dariescu, Ciprian
5 Dariescu, Marina-Aura
5 Ferreira, Chelo
5 Hassanabadi, Hassan
5 Hortaçsu, M.
5 Ishkhanyan, T. A.
5 Jordaan, Kerstin
5 Letessier, Jean
5 Littlejohn, Lance L.
5 Magnus, Alphonse Ph.
5 Masjed-Jamei, Mohammad
5 Muniz, Celio R.
5 Peña, Ana
5 Quintana, Yamilet
5 Rebocho, M. N.
5 Sánchez-Ruiz, Jorge
5 Zhu, Mengkun
4 Abd-Elhameed, Waleed Mohamed
4 Ahmed, Hany M.
4 Bednařík, Michal
4 Ben Cheikh, Youssèf
4 Blümlein, Johannes
4 Castillo, Kenier
4 Demirhan, Doǧan
4 El-Jaick, Léa Jaccoud
4 Esposito, Giampiero
4 Figueiredo, Bartolomeu D. B.
4 Foulquié Moreno, Ana Pilar
4 García-Caballero, Esther M.
4 Karayer, Hale
4 Kheriji, Lotfi
4 Li, Shilin
4 Maier, Robert S.
4 Moreno, Samuel G.
4 Mustafa, Omar
4 Nowakowski, Marek
4 Osilenker, Boris P.
...and 803 more Authors
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Cited in 195 Serials

125 Journal of Computational and Applied Mathematics
63 Journal of Mathematical Physics
41 Journal of Approximation Theory
39 Integral Transforms and Special Functions
36 Annals of Physics
34 Journal of Mathematical Analysis and Applications
33 Applied Mathematics and Computation
26 Journal of Difference Equations and Applications
23 Numerical Algorithms
20 Journal of High Energy Physics
17 General Relativity and Gravitation
16 The Ramanujan Journal
15 Physics Letters. B
14 Advances in High Energy Physics
13 Modern Physics Letters A
11 Theoretical and Mathematical Physics
10 Physics Letters. A
10 Linear Algebra and its Applications
9 Communications in Mathematical Physics
9 Proceedings of the American Mathematical Society
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8 Mathematics of Computation
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8 Journal of Physics A: Mathematical and Theoretical
8 Random Matrices: Theory and Applications
7 International Journal of Modern Physics A
7 Classical and Quantum Gravity
7 International Journal of Geometric Methods in Modern Physics
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Computers & Mathematics with Applications
6 Constructive Approximation
6 International Journal of Modern Physics D
6 Journal of Cosmology and Astroparticle Physics
6 Mediterranean Journal of Mathematics
5 Advances in Applied Mathematics
5 Applied Mathematics Letters
5 Journal of Mathematical Chemistry
4 Mathematical Methods in the Applied Sciences
4 Rocky Mountain Journal of Mathematics
4 Bulletin of the Iranian Mathematical Society
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
4 Communications in Theoretical Physics
3 Applicable Analysis
3 International Journal of Theoretical Physics
3 Mathematical Notes
3 Nuclear Physics. B
3 Periodica Mathematica Hungarica
3 Reports on Mathematical Physics
3 Advances in Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Differential Equations
3 Journal of Inequalities and Applications
3 Annales Henri Poincaré
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Advances in Mathematical Physics
3 Bulletin of Mathematical Sciences
3 Mathematics
2 Acta Mechanica
2 Journal of Computational Physics
2 Ukrainian Mathematical Journal
2 Chaos, Solitons and Fractals
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Functional Analysis and its Applications
2 Journal of Statistical Planning and Inference
2 Mathematics and Computers in Simulation
2 Mathematische Zeitschrift
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Zeitschrift für Analysis und ihre Anwendungen
2 Acta Applicandae Mathematicae
2 Journal of Elasticity
2 Expositiones Mathematicae
2 Bulletin of the Belgian Mathematical Society - Simon Stevin
2 Conformal Geometry and Dynamics
2 Gravitation & Cosmology
2 Journal of Nonlinear Mathematical Physics
2 Foundations of Computational Mathematics
2 Central European Journal of Mathematics
2 Advances in Difference Equations
2 Complex Variables and Elliptic Equations
2 Mathematics in Computer Science
2 Mathematical Modelling of Natural Phenomena
2 Advances in Pure and Applied Mathematics
2 Analysis and Mathematical Physics
2 Afrika Matematika
2 Journal of Classical Analysis
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Ural Mathematical Journal
1 International Journal of Modern Physics B
1 Archive for History of Exact Sciences
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
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1 Journal of Engineering Mathematics
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1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Nonlinearity
...and 95 more Serials
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Cited in 56 Fields

551 Special functions (33-XX)
240 Harmonic analysis on Euclidean spaces (42-XX)
210 Quantum theory (81-XX)
148 Ordinary differential equations (34-XX)
117 Relativity and gravitational theory (83-XX)
72 Numerical analysis (65-XX)
64 Partial differential equations (35-XX)
59 Difference and functional equations (39-XX)
36 Approximations and expansions (41-XX)
32 Functions of a complex variable (30-XX)
30 Linear and multilinear algebra; matrix theory (15-XX)
23 Number theory (11-XX)
23 Operator theory (47-XX)
23 Statistical mechanics, structure of matter (82-XX)
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