A. Ronveaux

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All published works

Action	Title	Year	Authors
+	About families of orthogonal polynomials satisfying Heun’s differential equation	2020	Alphonse Magnus François Ndayiragije A. Ronveaux
+ PDF Chat	On some differential transformations of hypergeometric equations	2015	Mahouton Norbert Hounkonnou A. Ronveaux
+	Bivariate Krawtchouk polynomials: Inversion and connection problems with the NAVIMA algorithm	2014	Iván Area E. Godoy J. J. A. Rodal A. Ronveaux A. Zarzo
+	On a polynomial transformation of hypergeometric equations, Heun's differential equation and exceptional Jacobi polynomials	2013	Mahouton Norbert Hounkonnou A. Ronveaux
+	Bivariate second-order linear partial differential equations and orthogonal polynomial solutions	2011	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Factorization of generalized Lamé and Heun's differential equations	2011	Mahouton Norbert Hounkonnou A. Ronveaux
+	Bivariate second--order linear partial differential equations and orthogonal polynomial solutions	2011	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Generalized Heun and Lam\'e's equations: factorization	2009	Mahouton Norbert Hounkonnou A. Ronveaux
+	About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations	2008	Mahouton Norbert Hounkonnou A. Ronveaux
+	Orthogonal polynomials—centroid of their zeroes	2008	A. Ronveaux
+	An SL(2,R) approach to Schrödinger spectral problem with pseudosingular potential	2008	Jean‐Pierre Gazeau A. Ronveaux M. Cl. Dumont-Lepage
+	ORTHOGONAL POLYNOMIALS AND THE BEZOUT IDENTITY	2007	A. Ronveaux A. Zarzo Iván Area E. Godoy
+	Factorization of some confluent Heun’s differential equations	2007	Mahouton Norbert Hounkonnou A. Ronveaux Komi Sodoga
+	Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials	2005	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	New families of orthogonal polynomials	2005	C. Hounga Mahouton Norbert Hounkonnou A. Ronveaux
+	Rediscovering the contributions of Rodrigues on the representation of special functions	2005	A. Ronveaux Jean Mawhin
+	Zeros of Jacobi functions of second kind	2005	Iván Area Dimitar K. Dimitrov E. Godoy A. Ronveaux
+	NONLINEAR RECURRENCE RELATIONS FOR MODIFIED Q-DISCRETE HERMITE ORTHOGONAL POLYNOMIALS	2004	C. Hounga Mahouton Norbert Hounkonnou A. Ronveaux
+ PDF Chat	On Factorization and Solutions of<i>q</i>-difference Equations Satisfied by some Classes of Orthogonal Polynomials	2004	M. Foupouagnigni W. Koepf A. Ronveaux
+	Hypergeometric type q-difference equations: Rodrigues type representation for the second kind solution	2004	Iván Area E. Godoy A. Ronveaux A. Zarzo
+ PDF Chat	Zeros of Gegenbauer and Hermite polynomials and connection coefficients	2004	Iván Area Dimitar K. Dimitrov E. Godoy A. Ronveaux
+	Classical symmetric orthogonal polynomials of a discrete variable	2003	Iván Area E. Godoy A. Ronveaux A. Zarzo§
+	Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials	2003	M. Foupouagnigni W. Koepf A. Ronveaux
+ PDF Chat	On Fourth-order Difference Equations for Orthogonal Polynomials of a Discrete Variable: Derivation, Factorization and Solutions	2003	M. Foupouagnigni W. Koepf A. Ronveaux
+	Hypergeometric-type differential equations: second kind solutions and related integrals	2003	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Factorization of the Heun’s differential operator	2003	A. Ronveaux
+	Difference equations for the co-recursive rth associated orthogonal polynomials of the Dq-Laguerre–Hahn class	2003	M. Foupouagnigni A. Ronveaux
+	Some generalized Jacobi polynomials	2003	Mohamed Jalel Atia J. Alaya A. Ronveaux
+	Expansion of multivariable polynomials in products of orthogonal polynomials in one variable	2002	A. Ronveaux Luc Rebillard
+	Asymptotics for recurrence coefficients in the generalized Meixner case	2001	A. Ronveaux
+	Expansion of multivariate polynomials in products of univariate orthogonal polynomials: discrete case	2001	Luc Rebillard A. Ronveaux
+	Fourth-order difference equation satisfied by the co-recursive of q-classical orthogonal polynomials	2001	M. Foupouagnigni A. Ronveaux
+	Solving connection and linearization problems within the Askey scheme and its q-analogue via inversion formulas	2001	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Inequalities for zeros of associated polynomials and derivatives of orthogonal polynomials	2001	Dimitar K. Dimitrov A. Ronveaux
+	Discrete orthogonal polynomials – polynomial modification of a classical functional	2001	A. Ronveaux L. Salto
+	The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre - Hahn Class	2001	M. Foupouagnigni A. Ronveaux Mahouton Norbert Hounkonnou
+	Classical orthogonal polynomials: dependence of parameters	2000	A. Ronveaux A. Zarzo Iván Area E. Godoy
+	Discrete semi-classical orthogonal polynomials: generalized Charlier	2000	Mahouton Norbert Hounkonnou C. Hounga A. Ronveaux
+	None	2000	Stanisław Lewanowicz E. Godoy Iván Area A. Ronveaux A. Zarzo
+ PDF Chat	Linearization of Arbitrary products of classical orthogonal polynomials	2000	Mahouton Norbert Hounkonnou S. Belmehdi A. Ronveaux
+	Inversion Problems in theq-Hahn Tableau	1999	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	The Fourth-order Difference Equation Satisfied by the Associated Orthogonal Polynomials of the Δ -Laguerre–Hahn Class	1999	M. Foupouagnigni Mahouton Norbert Hounkonnou A. Ronveaux
+	Decomposition of Polynomials with Respect to the Cyclic Group of Orderm	1999	A. Ronveaux A. Zarzo Iván Area E. Godoy
+ PDF Chat	On the linearization problem involving Pochhammer symbols and their q-analogues	1999	R. Álvarez-Nodarse Niurka R. Quintero A. Ronveaux
+	Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials	1999	M. Foupouagnigni A. Ronveaux W. Koepf
+	Difference equation for the associated polynomials on the linear lattice	1999	Natig M. Atakishiyev A. Ronveaux Kurt Bernardo Wolf
+	NON-STANDARD ORTHOGONALITY FOR MEIXNER POLYNOMIALS	1999	Marı́a Álvarez de Morales Teresa E. Pérez Miguel A. Piñar A. Ronveaux
+	Transverse limits in the Askey tableau	1998	A. Ronveaux A. Zarzo Iván Area E. Godoy
+	Connection problems for polynomial solutions of nonhomogeneous differential and difference equations	1998	E. Godoy A. Ronveaux A. Zarzo Iván Area
+	Laguerre-Freud equations for the recurrence coefficients of Dω semi-classical orthogonal polynomials of class one	1998	M. Foupouagnigni Mahouton Norbert Hounkonnou A. Ronveaux
+	Fourth-order difference equation for the associated classical discrete orthogonal polynomials	1998	M. Foupouagnigni W. Koepf A. Ronveaux
+	On the limit relations between classical continuous and discrete orthogonal polynomials	1998	E. Godoy A. Ronveaux A. Zarzo Iván Area
+	Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials	1998	A. Ronveaux E. Godoy A. Zarzo Iván Area
+	Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case	1998	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case	1997	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case	1997	E. Godoy A. Ronveaux A. Zarzo Iván Area
+	Results for some inversion problems for classical continuous and discrete orthogonal polynomials	1997	A. Zarzo Iván Area E. Godoy A. Ronveaux
+ PDF Chat	Linearization of the product of orthogonal polynomials of a discrete variable	1997	S. Belmehdi Stanisław Lewanowicz A. Ronveaux
+ PDF Chat	Recurrence relations for connection coefficients between<b><i>Q</i></b>-orthogonal polynomials of discrete variables in the non-uniform lattice	1996	R. Álvarez-Nodarse A. Ronveaux
+	Upward Extension of the Jacobi Matrix for Orthogonal Polynomials	1996	A. Ronveaux Walter Van Assche
+	Fourth-order difference equation for the associated Meixner and Charlier polynomials	1996	Jean Letessier A. Ronveaux Galliano Valent
+	General Sobolev Orthogonal Polynomials	1996	Francisco Marcellán Teresa E. Pérez Miguel A. Piñar A. Ronveaux
+	On an system of “classical” polynomials of simultaneous orthogonality	1996	V. Kaliaguine A. Ronveaux
+	Difference equation for associated polynomials on a linear lattice	1996	Natig M. Atakishiyev A. Ronveaux Kurt Bernardo Wolf
+	Sobolev-Type Orthogonal Polynomials: The Nondiagonal Case	1995	Manuel Alfaro Francisco Marcellán M.L. Rezola A. Ronveaux
+	Upward extension of the Jacobi matrix for orthogonal polynomials	1995	A. Ronveaux Walter Van Assche
+	Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation	1995	A. Zarzo R. J. Yáñez A. Ronveaux J. S. Dehesa
+	Generalized linearization problems	1995	A. Ronveaux Mahouton Norbert Hounkonnou S. Belmehdi
+	Recurrence relations for connection coefficients between two families of orthogonal polynomials	1995	A. Ronveaux A. Zarzo E. Godoy
+	Fourth-order differential equations satisfied by the generalized co-recursive of all classical orthogonal polynomials. A study of their distribution of zeros	1995	A. Ronveaux A. Zarzo E. Godoy
+	On Recurrence Relations for Sobolev Orthogonal Polynomials	1995	W. D. Evans Lance L. Littlejohn Francisco Marcellán Clemens Markett A. Ronveaux
+	Stieltjes sums for zeros of orthogonal polynomials	1995	A. Ronveaux Martin E. Muldoon
+	Upward extension of the Jacobi matrix for orthogonal polynomials	1995	A. Ronveaux Walter Van Assche
+	Hurwitz problem, harmonic morphisms and generalized Hadamard matrices	1994	D. L. Lambert A. Ronveaux
+	Laguerre-Freud′s Equations for the Recurrence Coefficients of Semi-classical Orthogonal Polynomials	1994	S. Belmehdi A. Ronveaux
+	Difference equation for the associated polynomials on the linear lattice	1994	Kurt Bernardo Wolf A. Ronveaux Natig M. Atakishiyev
+	Fourt-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros	1993	A. Zarzo A. Ronveaux E. Godoy
+	Towards new solutions for the general Hurwitz problem	1993	D. L. Lambert A. Ronveaux
+	Sobolev inner products and orthogonal polynomials of Sobolev type	1992	A. Ronveaux
+	On Orthogonal Polynomials of Sobolev Type: Algebraic Properties and Zeros	1992	Manuel Alfaro Francisco Marcellán M.L. Rezola A. Ronveaux
+	Orthogonality with respect to the sum of two semiclassical regular linear forms	1991	A. Ronveaux S. Belmehdi Francisco Marcellán
+	Newton sum rules of zeros of semiclassical orthogonal polynomials	1990	A. Zarzo J. S. Dehesa A. Ronveaux
+	On orthogonal polynomials with perturbed recurrence relations	1990	Francisco Marcellán J. S. Dehesa A. Ronveaux
+	Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials	1990	A. Ronveaux S. Belmehdi J. Dini P. Maroni
+	On a class of polynomials orthogonal with respect to a discrete Sobolev inner product	1990	Francisco Marcellán A. Ronveaux
+ PDF Chat	Differential Equation for Classical-Type Orthogonal Polynomials	1989	A. Ronveaux Francisco Marcellán
+	Differential equations of some orthogonal families in REDUCE	1989	A. Ronveaux G. Thiry
+	On the harmonic and monogenic decomposition of polynomials	1989	Fred Brackx Denis Constales A. Ronveaux Herman Serras
+	Co-recursive orthogonal polynomials and fourth-order differential equation	1989	A. Ronveaux Francisco Marcellán
+	Double Sum of Bessel Functions in Computer Music	1988	A. Ronveaux J. P. Palamin P. Palamin
+ PDF Chat	Polynomial solution of recurrence relation and differential equation	1988	A. Ronveaux G. Thiry
+	Fourth-order differential equations for numerator polynomials	1988	A. Ronveaux
+	About Quadratic Transformations Connected To Hurwitz Transformations	1988	A. Ronveaux
+	About ‘‘perplex numbers’’	1987	A. Ronveaux
+	Discrete semi-classical orthogonal polynomials: Generalized Meixner	1986	A. Ronveaux
+	Harmonic polynomials invariant under a finite subgroup of O(<i>n</i>)	1983	A. Ronveaux Yvan Saint-Aubin
+	Spectrum of potentials gr<sup>-(s+2)</sup>via SL(2,R) acting on quaternions	1980	M. Cl. Dumont-Lepage N Gani Jean‐Pierre Gazeau A. Ronveaux
+ PDF Chat	Gel’fand lattice polynomials and irreducible representations of U(<i>n</i>)	1978	Jean‐Pierre Gazeau M.-Cl. Dumont-Lepage A. Ronveaux
+	Bounds on the Number of Poles of the Solution of a General Riccati Equation	1977	A. Ronveaux M. C. Dumont-Lepage J. Habay
+	Exponential of Gel'fand lattices and irreducible representations of U(n)	1977	Jean‐Pierre Gazeau M.-Cl. Dumont-Lepage A. Ronveaux
+	Potentiels sphéroïdaux pour l'équation de Schrödinger. I. Caractérisation d'un état lié	1975	A. Ronveaux M. Cl. Dumont-Lepage Raymonde Gérard
+	Comparative properties of the single, double and periodic potentials	1974	A. Ronveaux
+	Even and Odd Spectra of One-Dimensional Symmetrical Potential. II. Dirac Theory	1972	A. Ronveaux
+	Even and Odd Spectra of One-Dimensional Symmetrical Potential. I. Schrödinger Theory	1972	A. Ronveaux
+	Nonrelativistic limit of the Dirac equation in the continuum	1970	A. Ronveaux
+	SOLUTION OF THE PHASE EQUATIONS FOR DIRAC DISTRIBUTIONS, AND SINGULAR PERTURBATIONS OF THE SCHROEDINGER EQUATION.	1970	A. Ronveaux
+	Phase Equation in Quantum Mechanics	1969	A. Ronveaux
+	Bounds on the Logarithmic Derivative of Solutions of Second Order Differential Equations	1968	A. Ronveaux
+	Bounds on the Logarithmic Derivative of Solutions of Second Order Differential Equations	1968	A. Ronveaux

Common Coauthors

Coauthor	Papers Together
E. Godoy	26
A. Zarzo	25
Iván Area	23
Mahouton Norbert Hounkonnou	14
M. Foupouagnigni	10
Francisco Marcellán	9
S. Belmehdi	6
W. Koepf	5
Jean‐Pierre Gazeau	4
Dimitar K. Dimitrov	3
C. Hounga	3
M. Cl. Dumont-Lepage	3
Kurt Bernardo Wolf	3
J. S. Dehesa	3
Walter Van Assche	3
Natig M. Atakishiyev	3
Miguel A. Piñar	2
Stanisław Lewanowicz	2
Manuel Alfaro	2
G. Thiry	2
M.L. Rezola	2
Luc Rebillard	2
Teresa E. Pérez	2
D. L. Lambert	2
R. Álvarez-Nodarse	2
M.-Cl. Dumont-Lepage	2
Galliano Valent	1
Mohamed Jalel Atia	1
A. Zarzo§	1
W. D. Evans	1
François Ndayiragije	1
Alphonse Magnus	1
M. C. Dumont-Lepage	1
Lance L. Littlejohn	1
Marı́a Álvarez de Morales	1
J. J. A. Rodal	1
Niurka R. Quintero	1
N Gani	1
Komi Sodoga	1
Raymonde Gérard	1
Denis Constales	1
L. Salto	1
J. Alaya	1
J. Habay	1
Yvan Saint-Aubin	1
Clemens Markett	1
V. Kaliaguine	1
Jean Mawhin	1
Fred Brackx	1
Jean Letessier	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov	34
+	Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case	1997	Iván Area E. Godoy A. Ronveaux A. Zarzo	21
+	The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue	1996	Roelof Koekoek René F. Swarttouw	20
+ PDF Chat	Orthogonal Polynomials	1971		18
+	Recurrence relations for connection coefficients between two families of orthogonal polynomials	1995	A. Ronveaux A. Zarzo E. Godoy	18
+	Fourth-order differential equations for numerator polynomials	1988	A. Ronveaux	17
+	Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case	1997	E. Godoy A. Ronveaux A. Zarzo Iván Area	14
+	Semi-classical orthogonal polynomials	1985	Erik Hendriksen H. van Rossum	13
+	Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable	1996	Stanisław Lewanowicz	13
+ PDF Chat	Prolégomènes à l'étude des polynômes orthogonaux semi-classiques	1987	P. Maroni	13
+	Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case	1998	Iván Area E. Godoy A. Ronveaux A. Zarzo	12
+	The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials	1986	C. C. Grosjean	11
+	Results for some inversion problems for classical continuous and discrete orthogonal polynomials	1997	A. Zarzo Iván Area E. Godoy A. Ronveaux	11
+	An Introduction to Orthogonal Polynomials	2020	M. Foupouagnigni	11
+	Orthogonal Polynomials and Special Functions	1975	Richard Askey	10
+	Co-recursive orthogonal polynomials and fourth-order differential equation	1989	A. Ronveaux Francisco Marcellán	10
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	10
+ PDF Chat	Explicit Formulas for the Associated Jacobi Polynomials and Some Applications	1987	Jet Wimp	9
+	Difference equation for associated polynomials on a linear lattice	1996	Natig M. Atakishiyev A. Ronveaux Kurt Bernardo Wolf	9
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman	9
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov	9
+	Difference equation for the associated polynomials on the linear lattice	1994	Kurt Bernardo Wolf A. Ronveaux Natig M. Atakishiyev	9
+	Riccati acceleration of Jacobi continued fractions and Laguerre-Hahn orthogonal polynomials	1984	Alphonse Magnus	9
+	Inversion Problems in theq-Hahn Tableau	1999	Iván Area E. Godoy A. Ronveaux A. Zarzo	9
+	Fourt-order differential equation satisfied by the associated of any order of all classical orthogonal polynomials. A study of their distribution of zeros	1993	A. Zarzo A. Ronveaux E. Godoy	9
+	Classical orthogonal polynomials	1985	George E. Andrews Richard Askey	9
+	Über Orthogonalpolynome, die <i>q</i>‐Differenzengleichungen genügen	1949	Wolfgang Hahn	8
+	Results on the associated classical orthogonal polynomials	1995	Stanisław Lewanowicz	8
+	Fourth-order differential equations satisfied by the generalized co-recursive of all classical orthogonal polynomials. A study of their distribution of zeros	1995	A. Ronveaux A. Zarzo E. Godoy	8
+	Upward Extension of the Jacobi Matrix for Orthogonal Polynomials	1996	A. Ronveaux Walter Van Assche	7
+	Polinomios ortogonales Q-semiclásicos	1996	Juan Carlos Medem Roesicke	7
+	Associated Laguerre and Hermite polynomials	1984	Richard Askey Jet Wimp	7
+	Compact quantum groups and q-special functions	1994	Tom H. Koornwinder	7
+	Laguerre-Freud′s Equations for the Recurrence Coefficients of Semi-classical Orthogonal Polynomials	1994	S. Belmehdi A. Ronveaux	7
+	Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials	1998	A. Ronveaux E. Godoy A. Zarzo Iván Area	7
+	Representations of orthogonal polynomials	1998	Wolfram Koepf Dieter Schmersau	6
+	Laguerre-Freud equations for the recurrence coefficients of Dω semi-classical orthogonal polynomials of class one	1998	M. Foupouagnigni Mahouton Norbert Hounkonnou A. Ronveaux	6
+ PDF Chat	Linearization and connection coefficients of orthogonal polynomials	1992	Ryszard Szwarc	6
+	On orthogonal polynomials with perturbed recurrence relations	1990	Francisco Marcellán J. S. Dehesa A. Ronveaux	6
+	Discrete semi-classical orthogonal polynomials: Generalized Meixner	1986	A. Ronveaux	6
+	Orthogonal polynomials: Theory and practice	1991		6
+	The Special Functions and Their Approximations	1972	C. W. Clenshaw Yudell L. Luke	6
+	Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials	1990	A. Ronveaux S. Belmehdi J. Dini P. Maroni	6
+	Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials	1999	M. Foupouagnigni A. Ronveaux W. Koepf	6
+ PDF Chat	Orthogonal Polynomials and their Applications	1988		6
+	Theory of recursive generation of systems of orthogonal polynomials: An illustrative example	1985	C. C. Grosjean	6
+	Quick construction of recurrence relations for the Jacobi coefficients	1992	Stanisław Lewanowicz	5
+ PDF Chat	Some Results on Co-Recursive Associated Laguerre and Jacobi Polynomials	1994	Jean Letessier	5
+	Generalized linearization problems	1995	A. Ronveaux Mahouton Norbert Hounkonnou S. Belmehdi	5
+ PDF Chat	Recurrence relations for connection coefficients between<b><i>Q</i></b>-orthogonal polynomials of discrete variables in the non-uniform lattice	1996	R. Álvarez-Nodarse A. Ronveaux	5