Roelof Koekoek

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All published works

Action	Title	Year	Authors
+	Hypergeometric Orthogonal Polynomials and Their q-Analogues	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions of Complex Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonality of the Polynomial Solutions	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Polynomial Solutions of Eigenvalue Problems	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Hypergeometric Orthogonal Polynomials	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Definitions and Miscellaneous Formulas	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions of Differential Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions in q −x +uq x of Real q-Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions in q −x of q-Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions in $\frac{a}{z}+\frac{uz}{a}$ of Complex q-Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions of Real Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Orthogonal Polynomial Solutions of q-Difference Equations	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Basic Hypergeometric Orthogonal Polynomials	2010	Roelof Koekoek Peter Lesky René F. Swarttouw
+	Differential equations for generalized Jacobi polynomials	2000	J. Koekoek Roelof Koekoek
+ PDF Chat	INVERSION FORMULAS INVOLVING ORTHOGONAL POLYNOMIALS AND SOME OF THEIR APPLICATIONS	2000	Roelof Koekoek
+ PDF Chat	The jacobi inversion formula	1999	J. Koekoek Roelof Koekoek
+	Inversion methods for finding differential equations for generalized Jacobi polynomials	1999	J. Koekoek Roelof Koekoek
+	The search for differential equations for orthogonal polynomials by using computers	1999	Roelof Koekoek
+	Finding differential equations for symmetric generalized ultraspherical polynomials by using inversion methods	1999	J. Koekoek Roelof Koekoek
+	Inversion formulas involving orthogonal polynomials and some of their applications	1999	Roelof Koekoek
+	A note on the q-derivative operator	1999	J. Koekoek Roelof Koekoek
+	On differential equations for Sobolev-type Laguerre polynomials	1999	J. Koekoek Roelof Koekoek H. Bavinck
+	The Jacobi inversion formula	1999	J. Koekoek Roelof Koekoek
+	On a difference equation for generalizations of Charlier polynomials	1999	H. Bavinck Roelof Koekoek
+	The search for differential equations for certain sets of orthogonal polynomials	1999	Roelof Koekoek
+	Differential equations for symmetric generalized ultraspherical polynomials	1999	Roelof Koekoek
+	Difference operators with Sobolev type meixner polynomials as eigenfunctions	1998	H. Bavinck Roelof Koekoek
+ PDF Chat	On differential equations for Sobolev-type Laguerre polynomials	1998	J. Koekoek Roelof Koekoek H. Bavinck
+	The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue	1996	Roelof Koekoek René F. Swarttouw
+	On a Difference Equation for Generalizations of Charlier Polynomials	1995	H. Bavinck Roelof Koekoek
+ PDF Chat	Differential Equations for Symmetric Generalized Ultraspherical Polynomials	1994	Roelof Koekoek
+ PDF Chat	Differential equations for symmetric generalized ultraspherical polynomials	1994	Roelof Koekoek
+ PDF Chat	The search for differential equations for certain sets of orthogonal polynomials	1993	Roelof Koekoek
+	A Note on the q-Derivative Operator	1993	J. Koekoek Roelof Koekoek
+	A Generalization of Laguerre Polynomials	1993	Roelof Koekoek H.G. Meijer
+	Generalizations of a q-analogue of Laguerre polynomials	1992	Roelof Koekoek
+	On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials	1991	J. Koekoek Roelof Koekoek
+ PDF Chat	On a differential equation for Koornwinder’s generalized Laguerre polynomials	1991	J. Koekoek Roelof Koekoek
+	Generalizations of Laguerre polynomials	1990	Roelof Koekoek
+	Generalizations of the classical laguerre polynomials and some q-analogues	1990	Roelof Koekoek
+ PDF Chat	A Generalization of Moak's <i>q</i>-Laguerre Polynomials	1990	Roelof Koekoek

Common Coauthors

Coauthor	Papers Together
René F. Swarttouw	15
Peter Lesky	14
J. Koekoek	11
H. Bavinck	5
H.G. Meijer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On a differential equation for Koornwinder’s generalized Laguerre polynomials	1991	J. Koekoek Roelof Koekoek	16
+	Orthogonal Polynomials With Weight Function (1 - <i>x</i>)<sup><i>α</i></sup>( l + <i>x</i>)<sup><i>β</i></sup> + <i>M</i><i>δ</i>(<i>x</i> + 1) + <i>N</i>δ(<i>x</i> - 1)	1984	Tom H. Koornwinder	10
+ PDF Chat	Orthogonal Polynomials	1971		10
+ PDF Chat	The search for differential equations for certain sets of orthogonal polynomials	1993	Roelof Koekoek	10
+ PDF Chat	Differential equations for symmetric generalized ultraspherical polynomials	1994	Roelof Koekoek	9
+	Orthogonal Polynomials Satisfying Second Order Differential Equations	2002	Allan M. Krall	8
+	Generalizations of the classical laguerre polynomials and some q-analogues	1990	Roelof Koekoek	8
+	The Special Functions and Their Approximations	1972	C. W. Clenshaw Yudell L. Luke	8
+	Certain differential equations for Tchebycheff polynomials	1938	H. L. Krall	8
+	Difference Equations for Generalized Meixner Polynomials	1994	H. Bavinck H. van Haeringen	7
+	On a Difference Equation for Generalizations of Charlier Polynomials	1995	H. Bavinck Roelof Koekoek	7
+	A Generalization of Laguerre Polynomials	1993	Roelof Koekoek H.G. Meijer	7
+	On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials	1991	J. Koekoek Roelof Koekoek	6
+	Orthogonal polynomials satisfying fourth order differential equations	1981	Allan M. Krall	6
+ PDF Chat	On differential equations for Sobolev-type Laguerre polynomials	1998	J. Koekoek Roelof Koekoek H. Bavinck	6
+	A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions	1996	H. Bavinck	5
+	The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue	1996	Roelof Koekoek René F. Swarttouw	5
+	A direct approach to Koekoek's differential equation for generalized Laguerre polynomials	1995	H. Bavinck	5
+	THE KRALL POLYNOMIALS: A NEW CLASS OF ORTHOGONAL POLYNOMIALS	1982	Lance L. Littiejohn	4
+	<i>Generalized Hypergeometric Functions</i>	1967	L. J. Slater Werner C. Rheinboldt	4
+	Finding differential equations for symmetric generalized ultraspherical polynomials by using inversion methods	1999	J. Koekoek Roelof Koekoek	3
+	On the classification of differential equations having orthogonal polynomial solutions	1984	Lance L. Littlejohn	3
+	An Introduction to Orthogonal Polynomials	2020	M. Foupouagnigni	3
+ PDF Chat	Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations	1982	Lance L. Littlejohn S. D. Shore	3
+	The q-analogue of the Laguerre polynomials	1981	Daniel S. Moak	3
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman	3
+ PDF Chat	On the classification of differential equations having orthogonal polynomial solutions — II	1987	Allan M. Krall Lance L. Littlejohn	3
+	Orthogonal Polynomials and Special Functions	1975	Richard Askey	2
+ PDF Chat	Introduction to the Theory of Infinite Series	1966	T. J. Bromwich	2
+	BOCHNER-KRALL ORTHOGONAL POLYNOMIALS	2000	K.H. Kwon Gang-Joon Yoon Lance L. Littlejohn	2
+ PDF Chat	The Krall Polynomials as Solutions to a Second Order Differential Equation	1983	Lance L. Littlejohn	2
+ PDF Chat	The jacobi inversion formula	1999	J. Koekoek Roelof Koekoek	2
+	Über Orthogonalpolynome, die <i>q</i>‐Differenzengleichungen genügen	1949	Wolfgang Hahn	2
+	Orthogonal polynomials with respect to a symmetric inner product involving derivatives	1989	H. Bavinck H.G. Meijer	2
+ PDF Chat	Orthogonal polynomials and singular Sturm-Liouville Systems, I	1986	Lance L. Littlejohn Allan M. Krall	2
+	On orthogonal polynomials	1975	P. Túrán	2
+	The search for differential equations for orthogonal polynomials by using computers	1999	Roelof Koekoek	2
+ PDF Chat	Sobolev orthogonal polynomials and spectral differential equations	1995	In Ha Jung K.H. Kwon D. W. Lee Lance L. Littlejohn	2
+	On polynomials orthogonal with respect to an inner product involving differences	1995	H. Bavinck	2
+	Expansion Theorems for the G-Function. III	1953	C.S. Meijer	2
+	A new result for Laguerre polynomials	1996	H. Bavinck	2
+	Generalizations of Laguerre polynomials	1990	Roelof Koekoek	2
+	Generalized Hypergeometric Functions	1966	Y. L. L. L. J. Slater	2
+	Askey-Wilson functions of the first and second kinds: Series and integral representations of Cn2(x; β ¦ q) + Dn2(x; β ¦ q)	1992	Mizan Rahman	1
+	On the extension of Turan’s inequality to Jacobi polynomials	1971	George Gasper	1
+ PDF Chat	Symmetry techniques for $q$-series: Askey-Wilson polynomials	1989	E. G. Kalnins Willard Miller	1
+	Orthogonal Polynomials in Connection with Quantum Groups	1990	Tom H. Koornwinder	1
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov	1
+	On Combinatorics of Al-Salam Carlitz Polynomials	1997	Dongsu Kim	1
+ PDF Chat	𝑞-Hermite polynomials, biorthogonal rational functions, and 𝑞-beta integrals	1994	Mourad E. H. Ismail David R. Masson	1