Edit Profile (opens in new tab) Ronveaux, André Co-Author Distance Author ID: ronveaux.andre Published as: Ronveaux, A.; Ronveaux, André; Ronveaux, Andre more...less External Links: MGP · ResearchGate · dblp Documents Indexed: 132 Publications since 1962, including 1 Book and 2 Additional arXiv Preprints 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 61 Co-Authors with 110 Joint Publications 1,290 Co-Co-Authors all top 5 Co-Authors 25 single-authored 31 Godoy, Eduardo Paciência 30 Zarzo, Alejandro 27 Area, Iván 16 Hounkonnou, Mahouton Norbert 10 Belmehdi, Said 10 Foupouagnigni, Mama 8 Marcellán Español, Francisco 6 Dumont-Lepage, Marie-Claire 5 Koepf, Wolfram A. 4 Hounga, C. 4 Lambert, Dominique 4 Moussiaux, A. 3 Dehesa, Jesús S. 3 Dimitrov, Dimitar K. 3 Lewanowicz, Stanisław 3 Maroni, Pascal 2 Alfaro García, Manuel 2 Álvarez de Morales, María 2 Álvarez-Nodarse, Renato 2 Brezinski, Claude 2 Dini, Jamal 2 Kibler, Maurice R. 2 Magnus, Alphonse Ph. 2 Mawhin, Jean L. 2 Pérez, Teresa E. 2 Piñar, Miguel A. 2 Rebillard, Luc 2 Rezola, María Luisa 2 Thiry, G. 1 Alaya, Jilani 1 Atakishiev, Natig M. 1 Atia, Mohamed Jalel 1 Azatassou, E. S. 1 Brackx, Fred F. 1 Constales, Denis 1 Decarreau, Andrée 1 Draux, André 1 Evans, William Desmond 1 Gazeau, Jean-Pierre 1 Gerard, Raymond 1 Gori, Laura 1 Habay, J. 1 Kaliaguine, Valeri A. 1 Letessier, Jean 1 Littlejohn, Lance L. 1 Markett, Clemens 1 Meunier, J. L. 1 Muldoon, Martin E. 1 Navez, Patrick 1 Ndayiragije, François 1 Négadi, Tidjani 1 Quintero, Niurka R. 1 Saint-Aubin, Yvan 1 Salto, L. 1 Serras, Herman 1 Sodoga, Komi 1 Valent, Galliano 1 Van Assche, Walter 1 Wolf, Kurt Bernardo 1 Woźny, Paweł 1 Yáñez, Rafael J. 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 all top 5 Fields 90 Special functions (33-XX) 27 Harmonic analysis on Euclidean spaces (42-XX) 19 Ordinary differential equations (34-XX) 17 Difference and functional equations (39-XX) 11 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 5 Combinatorics (05-XX) 5 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Field theory and polynomials (12-XX) 4 Real functions (26-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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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 1 Journal of Applied Mathematics and Mechanics 1 Journal of Engineering Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Linear and Multilinear Algebra 1 Nonlinearity ...and 95 more Serials all top 5 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) 22 Combinatorics (05-XX) 21 Probability theory and stochastic processes (60-XX) 18 Real functions (26-XX) 17 Mechanics of particles and systems (70-XX) 15 Functional analysis (46-XX) 14 Computer science (68-XX) 13 Topological groups, Lie groups (22-XX) 12 Differential geometry (53-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Mechanics of deformable solids (74-XX) 11 Optics, electromagnetic theory (78-XX) 8 Algebraic geometry (14-XX) 7 Field theory and polynomials (12-XX) 7 Integral transforms, operational calculus (44-XX) 7 Fluid mechanics (76-XX) 7 Astronomy and astrophysics (85-XX) 6 Information and communication theory, circuits (94-XX) 5 Nonassociative rings and algebras (17-XX) 5 Integral equations (45-XX) 5 Operations research, mathematical programming (90-XX) 4 Group theory and generalizations (20-XX) 4 Potential theory (31-XX) 4 Sequences, series, summability (40-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Measure and integration (28-XX) 2 Manifolds and cell complexes (57-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year