Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case

E. Godoy, A. Ronveaux, A. Zarzo, Iván Area

Type: Article

Publication Date: 1997-10-01

Citations: 55

DOI: https://doi.org/10.1016/s0377-0427(97)00137-4

View Publication

Locations

Journal of Computational and Applied Mathematics - View

Similar Works

Action	Title	Year	Authors
+	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
+	Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable	1996	Stanisław Lewanowicz
+	Recurrence relations for the connection coefficients of classical orthogonal polynomials	2018	Yan-Ping Mu
+	Results on the associated classical orthogonal polynomials	1995	Stanisław Lewanowicz
+	On Connection, Linearization and Duplication Coefficients of Classical Orthogonal Polynomials	2014	Daniel Duviol Tcheutia
+	Application of the discrete classical case to a 1−2 type relation	2022
+	Second-order recurrence relation for the linearization coefficients of the classical orthogonal polynomials	1996	Stanisław Lewanowicz
+	On the extended connection coefficients between two orthogonal polynomial sequences	2015	Imed Ben Salah
+ PDF Chat	Some New Connection Relations Related to Classical Orthogonal Polynomials	2020	Wathek Chammam Wasim Ul-Haq
+	Connection and linearization coefficients of the Askey–Wilson polynomials	2012	M. Foupouagnigni W. Koepf Daniel Duviol Tcheutia
+ PDF Chat	Linearization and connection coefficients of orthogonal polynomials	1992	Ryszard Szwarc
+	Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials	2020	Daniel Duviol Tcheutia
+	Connection coefficients between orthogonal polynomials and the canonical sequence: an approach based on symbolic computation	2008	P. Maroni Zélia da Rocha
+ PDF Chat	On a new class of 2-orthogonal polynomials, I: the recurrence relations and some properties	2020	Khalfa Douak P. Maroni
+	Linearization and connection coefficients of polynomial sequences: A matrix approach	2023	Luis Verde‐Star
+	Classical orthogonal polynomials: dependence of parameters	2000	A. Ronveaux A. Zarzo Iván Area E. Godoy
+	Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice x(s) = q2s	1998	Stanisław Lewanowicz
+	Nonlinear Recurrence Relations for Classical Orthogonal Polynomials	1958	T. S. Chihara
+	Connection coefficients of orthogonal polynomials with applications to classical orthogonal polynomials	1995	Ryszard Szwarc

Works That Cite This (54)

Action	Title	Year	Authors
+ PDF Chat	Zeros of Gegenbauer and Hermite polynomials and connection coefficients	2004	Iván Area Dimitar K. Dimitrov E. Godoy 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
+	Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials	2006	E. H. Doha H. M. Ahmed
+ PDF Chat	Classical orthogonal polynomials via a second-order linear differential operators	2020	Baghdadi Aloui Wathek Chammam
+	On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind	2019	Zélia da Rocha
+	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
+	Bivariate second-order linear partial differential equations and orthogonal polynomial solutions	2011	Iván Area E. Godoy A. Ronveaux A. Zarzo
+	Classical orthogonal polynomials: dependence of parameters	2000	A. Ronveaux A. Zarzo Iván Area E. Godoy
+	On the limit relations between classical continuous and discrete orthogonal polynomials	1998	E. Godoy A. Ronveaux A. Zarzo Iván Area
+	Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials	1998	R. Álvarez-Nodarse R. J. Yáñez J. S. Dehesa

Works Cited by This (18)

Action	Title	Year	Authors
+	A treatise on generating functions	1984	Adrienne W. Kemp H. M. Srivastava H. L. Manocha
+	Orthogonal Polynomials and Special Functions	1975	Richard Askey
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov
+	Classical orthogonal polynomials: A functional approach	1994	F. Marcell�n Amílcar Branquinho J. Petronilho
+	The Bessel polynomials	1957	W. A. Al‐Salam
+	Four-term recurrence relations of hypergeometric-type polynomials	1994	R. J. Yáñez J. S. Dehesa A. Zarzo
+ 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
+	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
+	The Three-Term Recurrence Relation and the Differentiation Formulas for Hypergeometric-type Functions	1994	R. J. Yáñez J. S. Dehesa A. F. Nikiforov