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Ronveaux, André

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Author ID: ronveaux.andre Recent zbMATH articles by "Ronveaux, André"
Published as: Ronveaux, A.; Ronveaux, Andre; Ronveaux, André
Documents Indexed: 133 Publications since 1962, including 4 Books
Biographic References: 1 Publication
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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 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

109 Publications have been cited 1,298 times in 737 Documents Cited by Year
Heun’s differential equations. Zbl 0847.34006
Ronveaux, A. (ed.)
258
1995
Recurrence relations for connection coefficients between two families of orthogonal polynomials. Zbl 0876.65005
Ronveaux, A.; Zarzo, A.; Godoy, E.
44
1995
On orthogonal polynomials of Sobolev type: Algebraic properties and zeros. Zbl 0764.33003
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
44
1992
On a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016
Marcellan, F.; Ronveaux, A.
42
1990
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
37
1997
On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021
Marcellan, F.; Dehesa, J. S.; Ronveaux, A.
37
1990
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
34
1995
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.
29
2001
Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
29
1998
Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. Zbl 0862.33006
Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A.
26
1996
Laguerre-Freud’s equations for the recurrence coefficients of semi- classical orthogonal polynomials. Zbl 0802.42022
Belmehdi, S.; Ronveaux, A.
25
1994
Fourth-order differential equations for numerator polynomials. Zbl 0661.33009
Ronveaux, A.
25
1988
Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A.
23
1997
Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015
Ronveaux, André; Van Assche, Walter
22
1996
Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
22
1995
Co-recursive orthogonal polynomials and fourth-order differential equation. Zbl 0662.33005
Ronveaux, A.; Marcellan, F.
22
1989
Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
20
2004
On a system of “classical” polynomials of simultaneous orthogonality. Zbl 0857.42012
Kaliaguine, V.; Ronveaux, A.
20
1996
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.
18
1989
Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
1999
The fourth-order differential equation satisfied by the associated orthogonal polynomials. Zbl 0731.33008
Belmehdi, S.; Ronveaux, A.
15
1991
On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
13
1998
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.
13
1995
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.
13
1993
Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials. Zbl 0688.33008
Ronveaux, A.; Belmehdi, S.; Dini, J.; Maroni, P.
13
1990
Discrete semi-classical orthogonal polynomials: generalized Meixner. Zbl 0591.42015
Ronveaux, A.
13
1986
Transverse limits in the Askey tableau. Zbl 0936.33004
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
12
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.
12
1998
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
12
1997
Differential equation for classical-type orthogonal polynomials. Zbl 0685.33008
Ronveaux, A.; Marcellan, F.
12
1989
Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
11
2012
Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
11
2004
Factorization of the Heun’s differential operator. Zbl 1035.34100
Ronveaux, A.
11
2003
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
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 fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
10
2004
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
Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
2000
Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A.
9
1998
Fourth-order difference equation for the associated Meixner and Charlier polynomials. Zbl 0856.33008
Letessier, Jean; Ronveaux, André; Valent, Galliano
9
1996
4th order differential equations and orthogonal polynomials of the Laguerre-Hahn class. Zbl 0834.34014
Ronveaux, A.
9
1991
Factorization of some confluent Heun’s differential equations. Zbl 1126.34307
Hounkonnou, Mahouton Norbert; Ronveaux, André; Sodoga, Komi
8
2007
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
Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
8
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
Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
8
1998
Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027
Brezinski, Claude (ed.); Gori, Laura (ed.); Ronveaux, André (ed.)
8
1991
About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations. Zbl 1175.34008
Hounkonnou, Mahouton Norbert; Ronveaux, André
7
2009
Non-standard orthogonality for Meixner polynomials. Zbl 0949.33004
Álvarez de Morales, María; Pérez, Teresa E.; Piñar, Miguel A.; Ronveaux, André
7
1999
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 first associated of classical discrete orthogonal polynomials. Zbl 0906.33003
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I.
7
1998
Linearization of the product of orthogonal polynomials of a discrete variable. Zbl 0891.33006
Belmehdi, S.; Lewanowicz, S.; Ronveaux, A.
7
1997
Some 4th order differential equations related to classical orthogonal polynomials. Zbl 0757.34013
Ronveaux, A.
7
1989
Discrete semi-classical orthogonal polynomials: Generalized Charlier. Zbl 0971.42015
Hounkonnou, M. N.; Hounga, C.; Ronveaux, A.
6
2000
Orthogonal polynomials: Connection and linearization coefficients. Zbl 0928.33009
Ronveaux, A.
6
1997
Polynômes orthogonaux dont les polynômes derives sont quasi orthogonaux. Zbl 0431.33006
Ronveaux, Andre
6
1979
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.
5
2003
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
5
2003
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
Linearization of arbitrary products of classical orthogonal polynomials. Zbl 0997.33002
Hounkonnou, Mahouton Norbert; Belmehdi, Said; Ronveaux, André
5
2000
On the linearization problem involving Pochhammer symbols and their \(q\)-analogues. Zbl 0934.33026
Álvarez-Nodarse, R.; Quintero, N. R.; Ronveaux, A.
5
1999
Fourth-order difference equation for the associated classical discrete orthogonal polynomials. Zbl 0928.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
5
1998
Quasi-orthogonality and differential equations. Zbl 0687.33013
Ronveaux, A.
5
1990
New families of orthogonal polynomials. Zbl 1093.33004
Hounga, C.; Hounkonnou, M. N.; Ronveaux, A.
4
2006
Some generalized Jacobi polynomials. Zbl 1075.33002
Atia, M. J.; Alaya, J.; Ronveaux, A.
4
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.
4
2003
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
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.
4
1995
Gel’fand lattice polynomials and irreducible representations of U(n). Zbl 0389.22014
Gazeau, J.-P.; Dumont-Lepage, M.-Cl.; Ronveaux, A.
4
1978
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
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.
3
2004
Discrete orthogonal polynomials – polynomial modification of a classical functional. Zbl 0991.33002
Ronveaux, A.; Salto, L.
3
2001
Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials. Zbl 0989.39007
Foupouagnigni, M.; Ronveaux, A.
3
2001
Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. Zbl 0966.33006
Dimitrov, Dimitar K.; Ronveaux, André
3
2001
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
Newton sum rules of zeros of semiclassical orthogonal polynomials. Zbl 0713.65035
Zarzo, A.; Dehesa, J. S.; Ronveaux, A.
3
1990
On the harmonic and monogenic decomposition of polynomials. Zbl 0681.68046
Brackx, F.; Constales, D.; Ronveaux, A.; Serras, H.
3
1989
Harmonic polynomials invariant under a finite subgroup of O(n). Zbl 0517.22019
Ronveaux, A.; Saint-Aubin, Yvan
3
1983
Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A.
2
2015
Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials. Zbl 1213.01127
Mawhin, Jean; Ronveaux, André
2
2010
Zeros of Jacobi functions of second kind. Zbl 1089.33003
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
2
2006
Expansion of multivariable polynomials in products of orthogonal polynomials in one variable. Zbl 1025.40003
Ronveaux, A.; Rebillard, L.
2
2002
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
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
Stieltjes sums for zeros of orthogonal polynomials. Zbl 0827.42011
Ronveaux, André; Muldoon, Martin E.
2
1995
Sobolev inner products and orthogonal polynomials of Sobolev type. Zbl 0785.33006
Ronveaux, A.
2
1992
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
Potentiels spheroidaux pour l’équation de Schrödinger. I: Caractérisation d’un etat lie. Zbl 0313.35021
Ronveaux, Andre; Dumont-Lepage, Marie-Claire; Gerard, Raymonde
2
1975
A priori bound on the first zero of some special functions. Zbl 0283.34031
Ronveaux, A.; Moussiaux, A.
2
1974
Factorization of generalized Lamé and Heun’s differential equations. Zbl 1209.34008
Hounkonnou, M. N.; Ronveaux, A.
1
2011
Orthogonal polynomials—centroid of their zeroes. Zbl 1181.42030
Ronveaux, André
1
2008
Orthogonal polynomials and the Bézout identity. Zbl 1126.33005
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
1
2007
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
Rediscovering the contributions of Rodrigues on the representation of special functions. Zbl 1083.33008
Ronveaux, André; Mawhin, Jean
1
2005
Factorization of the Heun operator. Zbl 1102.34331
Ronveaux, André
1
2001
Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case. Zbl 1013.33007
Rebillard, L.; Ronveaux, A.
1
2001
Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A.
2
2015
Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
11
2012
Factorization of generalized Lamé and Heun’s differential equations. Zbl 1209.34008
Hounkonnou, M. N.; Ronveaux, A.
1
2011
Schrödinger and Dirac equations for the hydrogen atom, and Laguerre polynomials. Zbl 1213.01127
Mawhin, Jean; Ronveaux, André
2
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
8
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.
4
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
20
2004
Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
11
2004
Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. Zbl 1052.33006
Foupouagnigni, M.; Koepf, W.; Ronveaux, A.
10
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.
3
2004
Factorization of the Heun’s differential operator. Zbl 1035.34100
Ronveaux, A.
11
2003
Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
8
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.
5
2003
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
5
2003
Some generalized Jacobi polynomials. Zbl 1075.33002
Atia, M. J.; Alaya, J.; Ronveaux, A.
4
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.
4
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.
29
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
Discrete orthogonal polynomials – polynomial modification of a classical functional. Zbl 0991.33002
Ronveaux, A.; Salto, L.
3
2001
Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials. Zbl 0989.39007
Foupouagnigni, M.; Ronveaux, A.
3
2001
Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials. Zbl 0966.33006
Dimitrov, Dimitar K.; Ronveaux, André
3
2001
Factorization of the Heun operator. Zbl 1102.34331
Ronveaux, André
1
2001
Expansion of multivariate polynomials in products of univariate orthogonal polynomials: Discrete case. Zbl 1013.33007
Rebillard, L.; Ronveaux, A.
1
2001
Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
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
Discrete semi-classical orthogonal polynomials: Generalized Charlier. Zbl 0971.42015
Hounkonnou, M. N.; Hounga, C.; Ronveaux, A.
6
2000
Linearization of arbitrary products of classical orthogonal polynomials. Zbl 0997.33002
Hounkonnou, Mahouton Norbert; Belmehdi, Said; Ronveaux, André
5
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.
29
1998
On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
13
1998
Transverse limits in the Askey tableau. Zbl 0936.33004
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
12
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.
12
1998
Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A.
9
1998
Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
8
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 first associated of classical discrete orthogonal polynomials. Zbl 0906.33003
Ronveaux, A.; Godoy, E.; 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.
37
1997
Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A.
23
1997
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
12
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
Recurrence relation approach for connection coefficients. Applications to classical discrete orthogonal polynomials. Zbl 0862.33006
Ronveaux, A.; Belmehdi, S.; Godoy, E.; Zarzo, A.
26
1996
Upward extension of the Jacobi matrix for orthogonal polynomials. Zbl 0858.42015
Ronveaux, André; Van Assche, Walter
22
1996
On a system of “classical” polynomials of simultaneous orthogonality. Zbl 0857.42012
Kaliaguine, V.; Ronveaux, A.
20
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
9
1996
Heun’s differential equations. Zbl 0847.34006
Ronveaux, A. (ed.)
258
1995
Recurrence relations for connection coefficients between two families of orthogonal polynomials. Zbl 0876.65005
Ronveaux, A.; Zarzo, A.; Godoy, E.
44
1995
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
34
1995
Sobolev-type orthogonal polynomials: The nondiagonal case. Zbl 0841.42013
Alfaro, M.; Marcellán, F.; Rezola, M. L.; Ronveaux, A.
22
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.
13
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.
4
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.
25
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.
13
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.
44
1992
Sobolev inner products and orthogonal polynomials of Sobolev type. Zbl 0785.33006
Ronveaux, A.
2
1992
The fourth-order differential equation satisfied by the associated orthogonal polynomials. Zbl 0731.33008
Belmehdi, S.; Ronveaux, A.
15
1991
4th order differential equations and orthogonal polynomials of the Laguerre-Hahn class. Zbl 0834.34014
Ronveaux, A.
9
1991
Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Zbl 0812.00027
Brezinski, Claude (ed.); Gori, Laura (ed.); Ronveaux, André (ed.)
8
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 a class of polynomials orthogonal with respect to a discrete Sobolev inner product. Zbl 0732.42016
Marcellan, F.; Ronveaux, A.
42
1990
On orthogonal polynomials with perturbed recurrence relations. Zbl 0713.42021
Marcellan, F.; Dehesa, J. S.; Ronveaux, A.
37
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.
13
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.
22
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.
18
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.
7
1989
On the harmonic and monogenic decomposition of polynomials. Zbl 0681.68046
Brackx, F.; Constales, D.; Ronveaux, A.; Serras, H.
3
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.
25
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.
13
1986
On nonbijective canonical transformations in mathematical physics. Zbl 0709.53512
Lambert, D.; Kibler, M.; Ronveaux, A.
1
1986
Polynômes orthogonaux et applications. Proceedings of the Laguerre Symposium held at Bar-le-Duc, France, October 15-18, 1984. Zbl 0572.00007
Brezinski, C. (ed.); Draux, A. (ed.); Magnus, A. P. (ed.); Marino, P. (ed.); Ronveaux, A. (ed.)
1
1985
...and 9 more Documents
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Cited by 710 Authors

69 Marcellán Español, Francisco
66 Ronveaux, André
45 Area, Iván
42 Godoy, Eduardo Paciência
29 Zarzo, Alejandro
22 Foupouagnigni, Mama
19 Bakke, Knut
17 Lewanowicz, Stanisław
16 Ishkhanyan, Artur Michaĭlovich
15 Koepf, Wolfram A.
14 Moreno-Balcázar, Juan José
13 Dehesa, Jesús S.
13 Dimitrov, Dimitar K.
12 Álvarez-Nodarse, Renato
12 Duran, Antonio J.
11 Hod, Shahar
11 Martínez-Finkelshtein, Andrei
10 Van Assche, Walter
10 Vieira, H. S.
9 Kwon, Kil Hyun
8 Alfaro García, Manuel
8 Belich, Humberto
8 Bezerra, Valdir B.
8 Chaggara, Hamza
8 Dueñas, Herbert
8 Filipuk, Galina V.
8 Hounkonnou, Mahouton Norbert
8 Rezola, María Luisa
7 Ben Cheikh, Youssèf
7 Branquinho, Amílcar José Pinto Lopes
7 Huertas Cejudo, Edmundo José
7 López, José Luis
7 Rafaeli, Fernando Rodrigo
7 Vitória, R. L. L.
7 Woźny, Paweł
6 Ahmed, Faizuddin
6 Bavinck, Herman
6 Birkandan, Tolga
6 Chen, Yang
6 Dominici, Diego Ernesto
6 Dong, Shihai
6 Ismail, Mourad El-Houssieny
6 Maroni, Pascal
6 Piñar, Miguel A.
6 Takemura, Kouichi
6 Tcheutia, Daniel Duviol
6 Zhedanov, Alexei S.
5 Atia, Mohamed Jalel
5 Batic, Davide
5 Belmehdi, Said
5 Doha, Eid H.
5 Ferreira, Chelo
5 Hortaçsu, M.
5 Jordaan, Kerstin
5 Letessier, Jean
5 Littlejohn, Lance L.
5 Magnus, Alphonse Ph.
5 Mañas-Mañas, Juan F.
5 Masjed-Jamei, Mohammad
5 Peña, Ana
5 Pérez, Teresa E.
5 Quintana, Yamilet
5 Rebocho, M. N.
5 Sánchez-Ruiz, Jorge
5 Sun, Guohua
4 Abd-Elhameed, Waleed Mohamed
4 Aktaş, Rabia
4 Arvesú, Jorge
4 Barrio, Raúl
4 Castillo, Kenier
4 Cunha, M. S.
4 da Rocha, Zélia
4 El-Jaick, Léa Jaccoud
4 Esposito, Giampiero
4 Figueiredo, Bartolomeu D. B.
4 García-Caballero, Esther M.
4 Garza, Luis E.
4 Hassanabadi, Hassan
4 Ishkhanyan, T. A.
4 Maier, Robert S.
4 Moreno, Samuel G.
4 Nowakowski, Marek
4 Sadjang, P. Njionou
4 Slavyanov, Sergeĭ Yur’evich
4 Vinet, Luc
4 Yáñez, Rafael J.
3 Ahmed, Hany M.
3 Alhaidari, Abdulaziz D.
3 Aptekarev, Alexander Ivanovich
3 Atakishiev, Natig M.
3 Ben Romdhane, Neila
3 Büyükkılıç, Fevzi
3 Dai, Wusheng
3 Dariescu, Ciprian
3 Dariescu, Marina-Aura
3 de Montigny, Marc
3 Demirhan, Doǧan
3 Derevyagin, Maxim S.
3 Domínguez de la Iglesia, Manuel
3 Dong, Qian
...and 610 more Authors
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Cited in 153 Serials

124 Journal of Computational and Applied Mathematics
51 Journal of Mathematical Physics
37 Journal of Approximation Theory
33 Integral Transforms and Special Functions
32 Applied Mathematics and Computation
30 Journal of Mathematical Analysis and Applications
27 Annals of Physics
23 Journal of Difference Equations and Applications
21 Numerical Algorithms
15 General Relativity and Gravitation
12 Modern Physics Letters A
12 Advances in High Energy Physics
11 Physics Letters. B
11 Theoretical and Mathematical Physics
10 Physics Letters. A
10 Linear Algebra and its Applications
10 The Ramanujan Journal
10 Journal of High Energy Physics
8 Mathematics of Computation
8 Applied Numerical Mathematics
8 Journal of Symbolic Computation
7 Random Matrices: Theory and Applications
6 International Journal of Modern Physics A
6 Proceedings of the American Mathematical Society
6 International Journal of Modern Physics D
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Computers & Mathematics with Applications
5 Communications in Mathematical Physics
5 Advances in Applied Mathematics
5 Constructive Approximation
4 Rocky Mountain Journal of Mathematics
4 Applied Mathematics Letters
4 Indagationes Mathematicae. New Series
3 Applicable Analysis
3 Mathematical Methods in the Applied Sciences
3 Mathematical Notes
3 Reports on Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Mathematical Sciences (New York)
3 International Journal of Geometric Methods in Modern Physics
3 Advances in Mathematical Physics
3 Mathematics
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Nuclear Physics. B
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
2 Journal of Differential Equations
2 Journal of Statistical Planning and Inference
2 Mathematische Zeitschrift
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Bulletin of the Iranian Mathematical Society
2 Expositiones Mathematicae
2 Conformal Geometry and Dynamics
2 Journal of Inequalities and Applications
2 Journal of Nonlinear Mathematical Physics
2 Foundations of Computational Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Central European Journal of Mathematics
2 Complex Variables and Elliptic Equations
2 Advances in Pure and Applied Mathematics
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 Linear and Multilinear Algebra
1 Periodica Mathematica Hungarica
1 Physica A
1 Ukrainian Mathematical Journal
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1 Fortschritte der Physik
1 BIT
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Mathematics and Computers in Simulation
1 Mathematics of Operations Research
1 Meccanica
1 Nagoya Mathematical Journal
1 Numerische Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 SIAM Journal on Numerical Analysis
1 European Journal of Combinatorics
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 Computer Aided Geometric Design
1 Physica D
1 Mathematical and Computer Modelling
1 Queueing Systems
1 Journal of Scientific Computing
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Cited in 53 Fields

446 Special functions (33-XX)
195 Harmonic analysis on Euclidean spaces (42-XX)
142 Quantum theory (81-XX)
113 Ordinary differential equations (34-XX)
74 Relativity and gravitational theory (83-XX)
62 Numerical analysis (65-XX)
48 Difference and functional equations (39-XX)
39 Partial differential equations (35-XX)
30 Approximations and expansions (41-XX)
25 Functions of a complex variable (30-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
16 Combinatorics (05-XX)
16 Statistical mechanics, structure of matter (82-XX)
15 Real functions (26-XX)
14 Probability theory and stochastic processes (60-XX)
13 Number theory (11-XX)
13 Operator theory (47-XX)
13 Computer science (68-XX)
10 Functional analysis (46-XX)
8 Topological groups, Lie groups (22-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Astronomy and astrophysics (85-XX)
6 Differential geometry (53-XX)
5 Field theory and polynomials (12-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Integral equations (45-XX)
5 Mechanics of particles and systems (70-XX)
5 Mechanics of deformable solids (74-XX)
4 Group theory and generalizations (20-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operations research, mathematical programming (90-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
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3 Associative rings and algebras (16-XX)
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3 Sequences, series, summability (40-XX)
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3 Fluid mechanics (76-XX)
3 Optics, electromagnetic theory (78-XX)
2 Potential theory (31-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
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