Wolfram Koepf

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the Representation of Non-Holonomic Power Series	2022	Bertrand Teguia Tabuguia Wolfram Koepf
+ PDF Chat	Symbolic Conversion of Holonomic Functions to Hypergeometric Type Power Series	2022	Bertrand Teguia Tabuguia Wolfram Koepf
+	FPS In Action: An Easy Way To Find Explicit Formulas For Interlaced Hypergeometric Sequences	2022	Bertrand Teguia Tabuguia Wolfram Koepf
+ PDF Chat	A Study of Extensions of Classical Summation Theorems for the Series $$_{3}F_{2}$$ and $$_{4}F_{3}$$ with Applications	2021	Mohamed M. Awad Wolfram Koepf Asmaa O. Mohammed Medhat A. Rakha Arjun K. Rathie
+	Symbolic computation of hypergeometric type and non-holonomic power series.	2021	Bertrand Teguia Tabuguia Wolfram Koepf
+	Power Series Representations of Hypergeometric Type Functions	2021	Bertrand Teguia Tabuguia Wolfram Koepf
+	Factorization in Polynomial Rings	2021	Wolfram Koepf
+	Number Systems and Integer Arithmetic	2021	Wolfram Koepf
+	Modular Arithmetic	2021	Wolfram Koepf
+	Algorithmic Summation	2021	Wolfram Koepf
+	Algebraic Numbers	2021	Wolfram Koepf
+ PDF Chat	Approximation by interpolation: the Chebyshev nodes	2021	M. Foupouagnigni Daniel Duviol Tcheutia Wolfram Koepf Kingsley Njem Forwa
+	Polynomial Arithmetic	2021	Wolfram Koepf
+	On the representation of non-holonomic univariate power series	2021	Bertrand Teguia Tabuguia Wolfram Koepf
+ PDF Chat	On the Finite Orthogonality of q-Pseudo-Jacobi Polynomials	2020	Mohammad Masjed‐Jamei Nasser Saad Wolfram Koepf Fatemeh Soleyman
+	A unified representation for some interpolation formulas	2020	Mohammad Masjed‐Jamei Zahra Moalemi Wolfram Koepf
+	A finite sequence of Hahn-type discrete orthogonal polynomials	2020	Mohammad Masjed‐Jamei Wolfram Koepf Daniel Duviol Tcheutia
+	Two Finite Sequences of Symmetric q-Orthogonal Polynomials Generated by Two q-Sturm–Liouville Problems	2020	Mohammad Masjed‐Jamei Fatemeh Soleyman Wolfram Koepf
+	Computer Algebra, Power Series and Summation	2020	Wolfram Koepf
+ PDF Chat	Approximation by interpolation: the Chebyshev nodes	2020	M. Foupouagnigni Daniel Duviol Tcheutia Wolfram Koepf Kingsley Njem Forwa
+	Orthogonal Polynomials and Computer Algebra	2020	Wolfram Koepf
+	An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials	2019	Mohammad Masjed‐Jamei M. R. Beyki Wolfram Koepf
+	On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions	2019	Merlin Mouafo Wouodjié Wolfram Koepf
+ PDF Chat	On a New Class of Laplace-Type Integrals Involving Generalized Hypergeometric Functions	2019	Wolfram Koepf In‐Suk Kim Arjun K. Rathie
+ PDF Chat	A New Identity for Generalized Hypergeometric Functions and Applications	2019	Mohammad Masjed‐Jamei Wolfram Koepf
+	Two finite hypergeometric sequences of discrete orthogonal polynomials	2018	Mohammad Masjed‐Jamei Wolfram Koepf
+	An extension of the Taylor series expansion by using the Bell polynomials	2018	Mohammad Masjed‐Jamei Zahra Moalemi Wolfram Koepf H. M. Srivastava
+ PDF Chat	Some Summation Theorems for Generalized Hypergeometric Functions	2018	Mohammad Masjed‐Jamei Wolfram Koepf
+ PDF Chat	Quasi-Orthogonality of Some Hypergeometric and q-Hypergeometric Polynomials	2018	Daniel Duviol Tcheutia A. Jooste Wolfram Koepf
+ PDF Chat	Is there a link between Preparatory Course Attendance and Academic Success? A Case Study of Degree Programmes in Electrical Engineering and Computer Science	2016	Gilbert Greefrath Wolfram Koepf Christoph Neugebauer
+ PDF Chat	On a connection between formulas about <i>q</i>–gamma functions	2016	Wolfram Koepf Predrag M. Rajković Sladjana D. Marinković
+	Symbolic computation of some power-trigonometric series	2016	Mohammad Masjed‐Jamei Wolfram Koepf
+	Algorithmic Approach for Formal Fourier Series	2014	Wolfram Koepf Etienne Nana Chiadjeu
+	Holonomic Recurrence Equations	2014	Wolfram Koepf
+	Differential Equations for Sums	2014	Wolfram Koepf
+	Petkovšek’s and van Hoeij’s Algorithm	2014	Wolfram Koepf
+	Gosper’s Algorithm	2014	Wolfram Koepf
+	The Gamma Function	2014	Wolfram Koepf
+	Hyperexponential Antiderivatives	2014	Wolfram Koepf
+	Hypergeometric Database	2014	Wolfram Koepf
+	Zeilberger’s Algorithm	2014	Wolfram Koepf
+	Rodrigues Formulas and Generating Functions	2014	Wolfram Koepf
+	Holonomic Equations for Integrals	2014	Wolfram Koepf
+ PDF Chat	On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices	2013	M. Foupouagnigni Wolfram Koepf Maurice Kenfack-Nangho S. Mboutngam
+	Divisibility of Trinomials by Irreducible Polynomials over F2	2013	Ryul Kim Wolfram Koepf
+ PDF Chat	Two finite classes of orthogonal functions	2012	Mohammad Masjed‐Jamei Wolfram Koepf
+	Bundesweite Arbeitstagung zu mathematischen Vor- und Brückenkursen	2012	Rolf Biehler Regina Bruder Pascal Fischer Reinhard Hochmuth Wolfram Koepf Stephan J. Schreiber Thomas Wassong
+	On generating symmetric orthogonal polynomials	2012	Mohammad Masjed‐Jamei Wolfram Koepf
+ PDF Chat	m-Fold Hypergeometric Solutions of Linear Recurrence Equations Revisited	2012	Peter D. Horn Wolfram Koepf Torsten Sprenger
+	Algorithmic determination of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-power series for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-holonomic functions	2011	Torsten Sprenger Wolfram Koepf
+	Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials	2011	Mohammad Masjed‐Jamei Wolfram Koepf
+	On linearization and connection coefficients for generalized Hermite polynomials	2011	Hamza Chaggara Wolfram Koepf
+	Irrationality of certain infinite series II	2011	Wolfram Koepf Dieter Schmersau
+	On incomplete symmetric orthogonal polynomials of Laguerre type	2010	Mohammad Masjed‐Jamei Wolfram Koepf
+	On incomplete symmetric orthogonal polynomials of Jacobi type	2010	Mohammad Masjed‐Jamei Wolfram Koepf
+	On linearization coefficients of Jacobi polynomials	2010	Hamza Chaggara Wolfram Koepf
+ PDF Chat	Irrationality of certain infinite series	2010	Wolfram Koepf Dieter Schmersau
+	Two Finite Classes of Special Functions Using Fourier Transforms of Two Symmetric Sequences of Finite	2010	Mohammad Masjed‐Jamei Wolfram Koepf
+	The parity of the number of irreducible factors for some pentanomials	2009	Wolfram Koepf Ryul Kim
+ PDF Chat	Solving differential equations in terms of bessel functions	2008	Ruben Debeerst Mark van Hoeij Wolfram Koepf
+ PDF Chat	Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials	2007	Wolfram Koepf Mohammad Masjed‐Jamei
+ PDF Chat	Properties of<i>q</i>-holonomic functions	2007	Wolfram Koepf Predrag M. Rajković Sladjana D. Marinković
+ PDF Chat	Duplication coefficients via generating functions	2007	Hamza Chaggara Wolfram Koepf
+	Functions satisfying holonomic q-differential equations	2007	Wolfram Koepf Predrag M. Rajković Sladjana D. Marinković
+	Computeralgebra in der universitären Lehre	2007	Wolfram Koepf
+ PDF Chat	Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality	2006	Wolfram Koepf
+ PDF Chat	A generalization of Student's<i>t</i>-distribution from the viewpoint of special functions	2006	Wolfram Koepf Mohammad Masjed‐Jamei
+	On the Computation of Fourier Coefficients	2006	Wolfram Koepf Etienne Nana Chiadjeu
+	Some New Classes of Orthogonal Polynomials and Special Functions	2006	Informatik Wolfram Koepf Iván Area
+	Computeralgebra	2006	Wolfram Koepf
+ PDF Chat	Solution properties of the de Branges differential recurrence equation	2005	Wolfram Koepf Dieter Schmersau
+	Relations between Some Characteristic Lengths in a Triangle.	2005	Wolfram Koepf Markus Brede
+	Orthogonal polynomials and recurrence equations, operator equations and factorization	2005	Wolfram Koepf
+	Positivity and monotony properties of the de Branges functions	2004	Wolfram Koepf Dieter Schmersau
+ PDF Chat	Computing the Real Zeros of Hypergeometric Functions	2004	Amparo Gil Wolfram Koepf Javier Segura
+	Numerical algorithms for the real zeros of hypergeometric functions	2004	Amparo Gil Wolfram Koepf Javier Segura
+ PDF Chat	Power series, Bieberbach conjecture and the de Branges and Weinstein functions	2003	Wolfram Koepf
+	Computer Algebra — Historical Development, Characterization, and Prospects	2003	Wolfram Koepf Erich Kaltofen Volker Weispfenning Johannes Grabmeier B. Heinrich Matzat
+	Efficient Computation of Chebyshev Polynomials in Computer Algebra	2003	Wolfram Koepf Htwk Leipzig
+	Computer Algebra Algorithms for Orthogonal Polynomials and Special Functions	2003	Wolfram Koepf
+	Recurrence equations and their classical orthogonal polynomial solutions	2002	Wolfram Koepf Dieter Schmersau
+	On a structure formula for classical q-orthogonal polynomials	2001	Wolfram Koepf Dieter Schmersau
+	Die reellen Zahlen als Fundament und Baustein der Analysis	1999	Dieter Schmersau Wolfram Koepf
+	Algorithms forq -Hypergeometric Summation in Computer Algebra	1999	Harald Böing Wolfram Koepf
+ PDF Chat	Numeric Versus Symbolic Computation	1999	Wolfram Koepf
+	Orthogonal Polynomials and Computer Algebra	1999	Wolfram Koepf
+	Software for the Algorithmic Work with Orthogonal Polynomials and Special Functions	1998	Wolfram Koepf
+	Representations of orthogonal polynomials	1998	Wolfram Koepf Dieter Schmersau
+	Theorie und Algorithmen zur q-hypergeometrischen Summation	1998	B Harald Wolfram Koepf
+	Petkovšek’s Algorithm	1998	Wolfram Koepf
+	Software for the Algorithmic Work with Orthogonal Polynomials and Special Functions	1998	Wolfram Koepf
+	Holonomic Equations for Integrals	1998	Wolfram Koepf
+	Rodrigues Formulas and Generating Functions	1998	Wolfram Koepf
+	Differential Equations for Sums	1998	Wolfram Koepf
+	Hyperexponential Antiderivatives	1998	Wolfram Koepf
+ PDF Chat	Weinstein's functions and the askey-gasper identity	1997	Wolfram Koepf Dieter Schmersau
+	The algebra of holonomic equations	1997	Wolfram Koepf
+ PDF Chat	Identities for families of orthogonal polynomials and special functions	1997	Wolfram Koepf
+	Representations of orthogonal polynomials	1997	Wolfram Koepf Dieter Schmersau
+	A package on orthogonal polynomials and special functions	1997	Wolfram Koepf
+	Representations of orthogonal polynomials	1997	Wolfram Koepf Dieter Schmersau
+	On a problem of Koornwinder	1996	Wolfram Koepf
+	On the de branges theorem	1996	Wolfram Koepf Dieter Schmersau
+	Weinstein's functions and the Askey-Gasper identity	1996	Wolfram Koepf Dieter Schmersau
+	On the De Branges theorem	1996	Wolfram Koepf Dieter Schmersau
+	Algorithms for classical orthogonal polynomials	1996	Wolfram Koepf Dieter Schmersau
+	The identification problem for transcendental functions	1996	Wolfram Koepf
+	Closed form Laurent-Puiseux series of algebraic functions	1996	Wolfram Koepf
+	Kurven zweiter Ordnung	1996	Wolfram Koepf
+	Partielle Integration	1996	Wolfram Koepf
+	Weinstein's functions and the Askey-Gasper identity	1996	Wolfram Koepf Dieter Schmersau
+	On the De Branges theorem	1996	Wolfram Koepf Dieter Schmersau
+	Closed Form Laurent-Puiseux Series of Algebraic Functions	1995	Wolfram Koepf
+	Algorithms for m-fold Hypergeometric Summation	1995	Wolfram Koepf
+	REDUCE Packages on Power Series, Z-Transformation, Residues and Trigonometric Simplification	1995	Wolfram Koepf
+ PDF Chat	REDUCE package for the indefinite and definite summation	1995	Wolfram Koepf
+	Algebraische Darstellung transzendenter Funktionen	1994	Wolfram Koepf
+	REDUCE package for the indefinite and definite summation	1994	Wolfram Koepf
+	On families of iterated derivatives	1994	Wolfram Koepf
+ PDF Chat	Bounded nonvanishing functions and bateman functions	1994	Wolfram Koepf Dieter Schmersau
+	A package on formal power series	1994	Wolfram Koepf
+	Formal power series	1994	Dominik Gruntz Wolfram Koepf
+	Bounded nonvanishing functions and Bateman functions	1994	Wolfram Koepf Dieter Schmersau
+	Implizite Funktionen und Iteration	1994	Wolfram Koepf
+	Algorithms for the indefinite and definite summation	1994	Wolfram Koepf
+	Algorithmic work with orthogonal polynomials and special functions	1994	Wolfram Koepf
+	Spaces of functions satisfying simple differential equations	1994	Wolfram Koepf Dieter Schmersau Fachbereich Mathematik
+	Metrische Räume und Stetigkeit	1994	Wolfram Koepf
+	Kurven im $$ {\mathbb{R}^n} $$	1994	Wolfram Koepf
+	Mehrdimensionale Integration	1994	Wolfram Koepf
+	A package on formal power series	1994	Wolfram Koepf
+	Bounded nonvanishing functions and Bateman functions	1994	Wolfram Koepf Dieter Schmersau
+	Algebraische Darstellung transzendenter Funktionen	1994	Wolfram Koepf
+	REDUCE package for the indefinite and definite summation	1994	Wolfram Koepf
+	Formal power series	1994	Dominik Gruntz Wolfram Koepf
+	Der Euklidische Raum	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Mathematik mit DERIVE	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Funktionen und Graphen	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Die elementaren transzendenten Funktionen	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Gleichmäßige Konvergenz und Potenzreihen	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Das Riemann-Integral	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Integrationstechniken	1993	Wolfram Koepf Adi Ben-Israel Bob Gilbert
+	Power series in computer algebra	1992	Wolfram Koepf
+	On two conjectures of M. S. Robertson	1991	Wolfram Koepf
+ PDF Chat	On the interplay between geometrical and analytical properties of functions of bounded boundary rotation	1991	Wolfram Koepf
+	On Close-To-Convex Functions and Linearly Accessible Domains	1989	Wolfram Koepf
+ PDF Chat	Coefficients of symmetric functions of bounded boundary rotation	1989	Wolfram Koepf
+	Extremal problems for close-to-convex functions	1988	Wolfram Koepf
+	Convex functions and the Nehari univalence criterion	1988	Wolfram Koepf
+	On the Fekete-Szeg� problem for close-to-convex functions II	1987	Wolfram Koepf
+ PDF Chat	On the Fekete-Szego Problem for Close-to-Convex Functions	1987	Wolfram Koepf
+ PDF Chat	On the Fekete-Szegő problem for close-to-convex functions	1987	Wolfram Koepf
+ PDF Chat	On nonvanishing univalent functions with real coefficients	1986	Wolfram Koepf
+ PDF Chat	Classical families of univalent functions in the Hornich space	1985	Wolfram Koepf
+	Close-to-convex functions and linear-invariant families	1983	Wolfram Koepf

Common Coauthors

Coauthor	Papers Together
Dieter Schmersau	21
Mohammad Masjed‐Jamei	18
Adi Ben-Israel	7
Bertrand Teguia Tabuguia	6
Daniel Duviol Tcheutia	4
Predrag M. Rajković	3
Sladjana D. Marinković	3
Hamza Chaggara	3
M. Foupouagnigni	3
Arjun K. Rathie	2
Etienne Nana Chiadjeu	2
Ryul Kim	2
Kingsley Njem Forwa	2
Javier Segura	2
Bob Gilbert	2
Amparo Gil	2
Dominik Gruntz	2
Fatemeh Soleyman	2
Torsten Sprenger	2
Zahra Moalemi	2
M. R. Beyki	1
Bob Gilbert	1
S. Mboutngam	1
Mark van Hoeij	1
Asmaa O. Mohammed	1
Erich Kaltofen	1
Gilbert Greefrath	1
Bob Gilbert	1
Johannes Grabmeier	1
Bob Gilbert	1
Regina Bruder	1
B Harald	1
Markus Brede	1
Peter D. Horn	1
Bob Gilbert	1
Ruben Debeerst	1
Htwk Leipzig	1
Pascal Fischer	1
H. M. Srivástava	1
Mohamed M. Awad	1
Fachbereich Mathematik	1
Christoph Neugebauer	1
A. Jooste	1
Medhat A. Rakha	1
Nasser Saad	1
Harald Böing	1
Thomas Wassong	1
B. Heinrich Matzat	1
Volker Weispfenning	1
Informatik	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Power series in computer algebra	1992	Wolfram Koepf	29
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	21
+	Finite singularities and hypergeometric solutions of linear recurrence equations	1999	Mark van Hoeij	15
+	Representations of orthogonal polynomials	1998	Wolfram Koepf Dieter Schmersau	14
+ PDF Chat	Orthogonal Polynomials	1971		14
+ PDF Chat	GFUN	1994	Bruno Salvy Paul Zimmermann	14
+	The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue	1996	Roelof Koekoek René F. Swarttouw	14
+	Differentiably Finite Power Series	1980	Richard P. Stanley	13
+	Algorithms forq -Hypergeometric Summation in Computer Algebra	1999	Harald Böing Wolfram Koepf	13
+	Hypergeometric solutions of linear recurrences with polynomial coefficients	1992	Marko Petkovšek	13
+	Decision procedure for indefinite hypergeometric summation	1978	R. William Gosper	12
+	Algorithms for m-fold Hypergeometric Summation	1995	Wolfram Koepf	12
+	On Zeilberger's algorithm and its q-analogue: a rigorous description	1992	Tom H. Koornwinder	11
+	Basic Hypergeometric Series	2004	George Gasper Mizan Rahman	11
+	A Mathematica Version of Zeilberger's Algorithm for Proving Binomial Coefficient Identities	1995	Peter Paule Markus Schorn	10
+	Hypergeometric Orthogonal Polynomials and Their q-Analogues	2010	Roelof Koekoek Peter Lesky René F. Swarttouw	10
+	On the de branges theorem	1996	Wolfram Koepf Dieter Schmersau	10
+	A holonomic systems approach to special functions identities	1990	Doron Zeilberger	10
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov	9
+ PDF Chat	A proof of the Bieberbach conjecture	1985	Louis de Branges	9
+ PDF Chat	Identities for families of orthogonal polynomials and special functions	1997	Wolfram Koepf	8
+	Positive Jacobi Polynomial Sums, III	1974	Richard Askey	8
+	A simple proof of the Bieberbach conjecture.	1992	Pavel G. Todorov	8
+	A Footnote on Two Proofs of the Bieberbach-De Branges Theorem	1994	Herbert S. Wilf	8
+	None	1991	Lenard Weinstein	8
+	A basic class of symmetric orthogonal polynomials using the extended Sturm–Liouville theorem for symmetric functions	2006	Mohammad Masjed‐Jamei	8
+	The method of differentiating under the integral sign	1990	Gert Almkvist Doron Zeilberger	8
+ PDF Chat	On close-to-convex analytic functions	1965	Ch. Pommerenke	8
+	A package on formal power series	1994	Wolfram Koepf	7
+	Positive Jacobi Polynomial Sums, II	1976	Richard Askey George Gasper	7
+	On Zeilberger's algorithm and its q-analogue	1993	Tom H. Koornwinder	7
+	An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities	1992	Herbert S. Wilf Doron Zeilberger	7
+ PDF Chat	Calculation of Feynman diagrams from their small momentum expansion	1994	Jürgen Fleischer O.V. Tarasov	7
+	Special Functions	1999	George E. Andrews Richard Askey Ranjan Roy	7
+ PDF Chat	Close-to-convex schlicht functions.	1952	Wilfred Kaplan	7
+	On polynomial solutions of linear operator equations	1995	С. А. Абрамов Manuel Bronstein Marko Petkovšek	6
+	Algorithmic work with orthogonal polynomials and special functions	1994	Wolfram Koepf	6
+ PDF Chat	Bounded nonvanishing functions and bateman functions	1994	Wolfram Koepf Dieter Schmersau	6
+	Univalent Functions - Selected Topics	1975	Glenn Schober	6
+	Encyclopedia of Mathematics and its Applications.	1982	Y. L. L. William B. Jones W. J. Thron	6
+	Jacobi polynomial expansions of Jacobi polynomials with non-negative coefficients	1971	Richard Askey George Gasper	6
+	Vorlesungen über Orthogonalreihen	1970	Francesco G. Tricomi	6
+ PDF Chat	A generalization of classical symmetric orthogonal functions using a symmetric generalization of Sturm–Liouville problems	2007	Mohammad Masjed‐Jamei	6
+	Classical Orthogonal Polynomials of a Discrete Variable	1991	Arnold F. Nikiforov Vasilii B. Uvarov Sergeĭ K. Suslov	6
+	Faktorisierung in Schief-Polynomringen	2009	Peter D. Horn	6
+	q-Hypergeometric solutions of q-difference equations	1998	С. А. Абрамов Peter Paule Marko Petkovšek	5
+	Applied and Computational Complex Analysis, Vol. 3: Discrete Fourier Analysis--Cauchy Integrals--Construction of Conformal Maps--Univalent Functions.	1987	F. S. Peter Henrici	5
+ PDF Chat	The de Branges theorem on univalent functions	1985	Carl H. Fitzgerald Ch. Pommerenke	5
+	A property of convex conformal maps	1976	Zeev Nehari	5
+ PDF Chat	m-Fold Hypergeometric Solutions of Linear Recurrence Equations Revisited	2012	Peter D. Horn Wolfram Koepf Torsten Sprenger	5