Frédéric Chyzak

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All published works

Action	Title	Year	Authors
+ PDF Chat	First-order factors of linear Mahler operators	2025	Frédéric Chyzak Thomas Dreyfus Philippe Dumas Marc Mezzarobba
+ PDF Chat	Differential equations satisfied by generating functions of 5-, 6-, and 7-regular labelled graphs: a reduction-based approach	2024	Frédéric Chyzak Marni Mishna
+	Refined product formulas for Tamari intervals	2023	Alin Bostan Frédéric Chyzak Vincent Pilaud
+ PDF Chat	Refined product formulas for Tamari intervals	2023	Alin Bostan Frédéric Chyzak Vincent Pilaud
+	Special issue on Symbolic and Algebraic Computation: ISSAC 2021	2022	Frédéric Chyzak George Labahn
+	Symbolic-Numeric Factorization of Differential Operators	2022	Frédéric Chyzak Alexandre Goyer Marc Mezzarobba
+ PDF Chat	Algorithms for Discrete Differential Equations of Order 1	2022	Alin Bostan Frédéric Chyzak Hadrien Notarantonio Mohab Safey El Din
+ PDF Chat	A Gröbner-basis theory for divide-and-conquer recurrences	2020	Frédéric Chyzak Philippe Dumas
+ PDF Chat	The Sage package comb_walks for walks in the quarter plane	2020	Alin Bostan Frédéric Chyzak Antonio Jiménez-Pastor Pierre Lairez
+ PDF Chat	Bijections between Łukasiewicz Walks and Generalized Tandem Walks	2020	Frédéric Chyzak Karen Yeats
+	Becker’s conjecture on Mahler functions	2019	Jason P. Bell Frédéric Chyzak Michael James Coons Philippe Dumas
+	A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions	2019	Frédéric Chyzak Frank Nielsen
+ PDF Chat	Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions	2018	Alin Bostan Frédéric Chyzak Pierre Lairez Bruno Salvy
+	Becker's conjecture on Mahler functions	2018	Jason P. Bell Frédéric Chyzak Michael James Coons Philippe Dumas
+	Computing solutions of linear Mahler equations	2018	Frédéric Chyzak Thomas Dreyfus Philippe Dumas Marc Mezzarobba
+	Bijections Between Łukasiewicz Walks and Generalized Tandem Walks	2018	Frédéric Chyzak Karen Yeats
+	Becker's conjecture on Mahler functions	2018	Jason P. Bell Frédéric Chyzak Michael James Coons Philippe Dumas
+ PDF Chat	Algorithmes Efficaces en Calcul Formel	2017	Alin Bostan Frédéric Chyzak M Giusti Romain Lebreton Grégoire Lecerf Bruno Salvy Éric Schost
+	Hypergeometric expressions for generating functions of walks with small steps in the quarter plane	2016	Alin Bostan Frédéric Chyzak Mark van Hoeij Manuel Kauers Lucien Pech
+	Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane	2016	Alin Bostan Frédéric Chyzak Mark van Hoeij Manuel Kauers Lucien Pech
+	Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane	2016	Alin Bostan Frédéric Chyzak Mark van Hoeij Manuel Kauers Lucien Pech
+ PDF Chat	On the existence of telescopers for mixed hypergeometric terms	2014	Shaoshi Chen Frédéric Chyzak Ruyong Feng Guofeng Fu Ziming Li
+ PDF Chat	The ABC of Creative Telescoping --- Algorithms, Bounds, Complexity	2014	Frédéric Chyzak
+ PDF Chat	A Computer-Algebra-Based Formal Proof of the Irrationality of ζ(3)	2014	Frédéric Chyzak Assia Mahboubi Thomas Sibut-Pinote E. ̃Tassi
+ PDF Chat	Hermite reduction and creative telescoping for hyperexponential functions	2013	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li Guoce Xin
+ PDF Chat	Complexity estimates for two uncoupling algorithms	2013	Alin Bostan Frédéric Chyzak Élie de Panafieu
+	Hermite Reduction and Creative Telescoping for Hyperexponential Functions	2013	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li Guoce Xin
+	Complexity Estimates for Two Uncoupling Algorithms	2013	Alin Bostan Frédéric Chyzak Élie de Panafieu
+ PDF Chat	Fast computation of common left multiples of linear ordinary differential operators	2012	Alin Bostan Frédéric Chyzak Ziming Li Bruno Salvy
+ PDF Chat	On Kahan's Rules for Determining Branch Cuts	2011	Frédéric Chyzak James H. Davenport Christoph Koutschan Bruno Salvy
+ PDF Chat	Fast computation of common left multiples of linear ordinary differential operators	2011	Alin Bostan Frédéric Chyzak Ziming Li Bruno Salvy
+	Explicit formula for the generating series of diagonal 3D rook paths	2011	Alin Bostan Frédéric Chyzak Mark van Hoeij Lucien Pech
+	Rational-functions telescopers	2010	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li
+ PDF Chat	Complexity of creative telescoping for bivariate rational functions	2010	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li
+ PDF Chat	The Dynamic Dictionary of Mathematical Functions (DDMF)	2010	Alexandre Benoît Frédéric Chyzak Alexis Darrasse Stefan Gerhold Marc Mezzarobba Bruno Salvy
+ PDF Chat	A non-holonomic systems approach to special function identities	2009	Frédéric Chyzak Manuel Kauers Bruno Salvy
+	Products of ordinary differential operators by evaluation and interpolation	2008	Alin Bostan Frédéric Chyzak Nicolas Le Roux
+	Products of Ordinary Differential Operators by Evaluation and Interpolation	2008	Alin Bostan Frédéric Chyzak Nicolas Le Roux
+ PDF Chat	The Distribution of Patterns in Random Trees	2007	Frédéric Chyzak Michael Drmota Thomas Klausner Gerard Kok
+	Differential equations for algebraic functions	2007	Alin Bostan Frédéric Chyzak Bruno Salvy Grégoire Lecerf Éric Schost
+	Fast computation of power series solutions of systems of differential equations	2007	Alin Bostan Frédéric Chyzak François Ollivier Bruno Salvy Éric Schost Alexandre Sedoglavic
+	Journees Nationales de Calcul Formel 2007	2007	Frédéric Chyzak O. Ruatta
+ PDF Chat	Low complexity algorithms for linear recurrences	2006	Alin Bostan Frédéric Chyzak Bruno Salvy Thomas Cluzeau
+	The Distribution of Patterns in Random Trees	2006	Frédéric Chyzak Michael Drmota Thomas Klausner Gerard Kok
+	Fast computation of power series solutions of systems of differential equations	2006	Alin Bostan Frédéric Chyzak François Ollivier Bruno Salvy Éric Schost Alexandre Sedoglavic
+ PDF Chat	Effective algorithms for parametrizing linear control systems over Ore algebras	2005	Frédéric Chyzak Alban Quadrat Daniel Robertz
+	Effective scalar products of D-finite symmetric functions	2005	Frédéric Chyzak Marni Mishna Bruno Salvy
+	New Results - Fast algorithms for linear differential and difference equations	2005	Thomas Cluzeau Alin Bostan Frédéric Chyzak Bruno Salvy
+	Linear control systems over ore algebras: Effective algorithms for the computation of parametrizations	2003	Frédéric Chyzak Alban Quadrat Daniel Robertz
+ PDF Chat	The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval	2001	Frédéric Chyzak Peter Paule Otmar Scherzer Armin Schoisswohl Burkhard Zimmermann
+	An extension of Zeilberger's fast algorithm to general holonomic functions	2000	Frédéric Chyzak
+	A computer algebra approach to orthonormal wavelets	2000	Frédéric Chyzak Peter Paule
+	Non-commutative Elimination in Ore Algebras Proves Multivariate Identities	1998	Frédéric Chyzak Bruno Salvy

Common Coauthors

Coauthor	Papers Together
Alin Bostan	17
Bruno Salvy	14
Alin Bostan	8
Philippe Dumas	6
Shaoshi Chen	5
Ziming Li	5
Manuel Kauers	4
Lucien Pech	4
Marc Mezzarobba	4
Mark van Hoeij	4
Éric Schost	4
Michael James Coons	3
Jason P. Bell	3
Thomas Klausner	2
Peter Paule	2
Daniel Robertz	2
Guoce Xin	2
Karen Yeats	2
Élie de Panafieu	2
Gerard Kok	2
Ziming Li	2
Vincent Pilaud	2
François Ollivier	2
Alexandre Sedoglavic	2
Thomas Dreyfus	2
Marni Mishna	2
Alban Quadrat	2
Pierre Lairez	2
Grégoire Lecerf	2
Michael Drmota	2
Nicolas Le Roux	2
Assia Mahboubi	1
M Giusti	1
Guofeng Fu	1
Thomas Cluzeau	1
Armin Schoisswohl	1
O. Ruatta	1
Stefan Gerhold	1
Otmar Scherzer	1
James H. Davenport	1
Burkhard Zimmermann	1
Hadrien Notarantonio	1
Mohab Safey El Din	1
Ruyong Feng	1
Christoph Koutschan	1
Thomas Sibut-Pinote	1
Frank Nielsen	1
Alexandre Benoît	1
Thomas Cluzeau	1
Romain Lebreton	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The method of differentiating under the integral sign	1990	Gert Almkvist Doron Zeilberger	11
+	An extension of Zeilberger's fast algorithm to general holonomic functions	2000	Frédéric Chyzak	10
+	Non-commutative Elimination in Ore Algebras Proves Multivariate Identities	1998	Frédéric Chyzak Bruno Salvy	10
+	A holonomic systems approach to special functions identities	1990	Doron Zeilberger	10
+	On fast multiplication of polynomials over arbitrary algebras	1991	David G. Cantor Erich Kaltofen	8
+	An approach to the zero recognition problem by Buchberger algorithm	1992	Nobuki Takayama	8
+	Differential equations for algebraic functions	2007	Alin Bostan Frédéric Chyzak Bruno Salvy Grégoire Lecerf Éric Schost	7
+	Differentiably Finite Power Series	1980	Richard P. Stanley	6
+ PDF Chat	GFUN	1994	Bruno Salvy Paul Zimmermann	5
+ PDF Chat	Multi-variable Zeilberger and Almkvist–Zeilberger algorithms and the sharpening of Wilf–Zeilberger theory	2006	Moa Apagodu Doron Zeilberger	5
+	Decision procedure for indefinite hypergeometric summation	1978	R. William Gosper	5
+	D-finite power series	1989	Leonard Lipshitz	5
+	Ordinary Differential Equations	1945	A. T. Lonseth E. L. Ince	5
+ PDF Chat	Some generalized hypergeometric polynomials	1947	Mary Celine Fasenmyer	4
+	Theory of Non-Commutative Polynomials	1933	Öystein Ore	4
+	An algorithmic proof theory for hypergeometric (ordinary and “q”) multisum/integral identities	1992	Herbert S. Wilf Doron Zeilberger	4
+ PDF Chat	Sur l'intégration des fractions rationnelles	1872	Ch. Hermite	4
+	On the algebraic relations between Mahler functions	2016	Julien Roques	4
+ PDF Chat	A Fast Approach to Creative Telescoping	2010	Christoph Koutschan	4
+	Introduction to the theory of linear differential equations	1936	Edgar Girard Croker Poole	4
+	Hypergeometric solutions of linear recurrences with polynomial coefficients	1992	Marko Petkovšek	4
+ PDF Chat	Complexity of creative telescoping for bivariate rational functions	2010	Alin Bostan Shaoshi Chen Frédéric Chyzak Ziming Li	4
+	Matrix multiplication via arithmetic progressions	1990	Don Coppersmith S. Winograd	4
+	Transcendence tests for Mahler functions	2016	Jason P. Bell Michael James Coons	4
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust	4
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	4
+ PDF Chat	A non-holonomic systems approach to special function identities	2009	Frédéric Chyzak Manuel Kauers Bruno Salvy	4
+	Applicability of Zeilberger's algorithm to hypergeometric terms	2002	С. А. Абрамов	4
+ PDF Chat	Singularity Analysis of Generating Functions	1990	Philippe Flajolet Andrew Odlyzko	4
+ PDF Chat	Méthode de Mahler : relations linéaires, transcendance et applications aux nombres automatiques	2017	Boris Adamczewski Colin Faverjon	4
+ PDF Chat	Proof of George Andrews’s and David Robbins’s <i>q</i> -TSPP conjecture	2011	Christoph Koutschan Manuel Kauers Doron Zeilberger	3
+ PDF Chat	Telescopers for rational and algebraic functions via residues	2012	Shaoshi Chen Manuel Kauers Michael F. Singer	3
+	Fast computation of special resultants	2005	Alin Bostan Philippe Flajolet Bruno Salvy Éric Schost	3
+ PDF Chat	Computing periods of rational integrals	2015	Pierre Lairez	3
+	A Mathematica Version of Zeilberger's Algorithm for Proving Binomial Coefficient Identities	1995	Peter Paule Markus Schorn	3
+	The analytic continuation of generalized functions with respect to a parameter	1973	I. N. Bernshtein	3
+	An introduction to pseudo-linear algebra	1996	Manuel Bronstein Marko Petkovšek	3
+ PDF Chat	The On-Line Encyclopedia of Integer Sequences	2007	N. J. A. Sloane	3
+ PDF Chat	The problem of integration in finite terms	1969	Robert H. Risch	3
+	Non-commutative Gröbner bases in algebras of solvable type	1990	Äbdelilah Kandri-Rody Volker Weispfenning	3
+	High-order lifting and integrality certification	2003	Arne Storjohann	3
+	The Risch Differential Equation Problem	1986	James H. Davenport	3
+	Gröbner basis and the problem of contiguous relations	1989	Nobuki Takayama	3
+	An algorithm for solving second order linear homogeneous differential equations	1986	J. Kovacic	3
+ PDF Chat	Proof of Ira Gessel's lattice path conjecture	2009	Manuel Kauers Christoph Koutschan Doron Zeilberger	3
+	Explicit formula for the generating series of diagonal 3D rook paths	2011	Alin Bostan Frédéric Chyzak Mark van Hoeij Lucien Pech	3
+ PDF Chat	Computing the rank and a small nullspace basis of a polynomial matrix	2005	Arne Storjohann Gilles Villard	3
+	Analytic models and ambiguity of context-free languages	1987	Philippe Flajolet	3
+	The complexity of partial derivatives	1983	Walter Bäur Volker Strassen	3
+	Weyl Closure of a Linear Differential Operator	2000	Harrison Tsai	3