Marc Mezzarobba

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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
+	Computing error bounds for asymptotic expansions of regular P-recursive sequences	2023	Ruiwen Dong Stephen Melczer Marc Mezzarobba
+ PDF Chat	Rounding error analysis of linear recurrences using generating series	2023	Marc Mezzarobba
+	Symbolic-Numeric Factorization of Differential Operators	2022	Frédéric Chyzak Alexandre Goyer Marc Mezzarobba
+ PDF Chat	Sequence positivity through numeric analytic continuation: uniqueness of the Canham model for biomembranes	2022	Stephen Melczer Marc Mezzarobba
+	Fast evaluation of some p-adic transcendental functions	2021	Xavier Caruso Marc Mezzarobba Nobuki Takayama Tristan Vaccon
+ PDF Chat	The expected signature of Brownian motion stopped on the boundary of a circle has finite radius of convergence	2020	Horatio Boedihardjo Joscha Diehl Marc Mezzarobba Hao Ni
+ PDF Chat	Multivariate ore polynomials in SageMath	2019	Manuel Kauers Marc Mezzarobba
+	Computing the Volume of Compact Semi-Algebraic Sets	2019	Pierre Lairez Marc Mezzarobba Mohab Safey El Din
+	Computing solutions of linear Mahler equations	2018	Frédéric Chyzak Thomas Dreyfus Philippe Dumas Marc Mezzarobba
+	Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights	2018	Fredrik Johansson Marc Mezzarobba
+ PDF Chat	Fast and Rigorous Arbitrary-Precision Computation of Gauss--Legendre Quadrature Nodes and Weights	2018	Fredrik Johansson Marc Mezzarobba
+	Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights	2018	Fredrik Johansson Marc Mezzarobba
+ PDF Chat	Rigorous uniform approximation of D-finite functions using Chebyshev expansions	2016	Alexandre Benoît Mioara Joldeş Marc Mezzarobba
+	Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath	2016	Marc Mezzarobba
+	Rigorous uniform approximation of D-finite functions using Chebyshev expansions	2014	Alexandre Benoît Mioara Joldeş Marc Mezzarobba
+ PDF Chat	Finding hyperexponential solutions of linear ODEs by numerical evaluation	2013	Fredrik Johansson Manuel Kauers Marc Mezzarobba
+	Multiple-Precision Evaluation of the Airy Ai Function with Reduced Cancellation	2013	Sylvain Chevillard Marc Mezzarobba
+	Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation	2013	Fredrik Johansson Manuel Kauers Marc Mezzarobba
+	Finding Hyperexponential Solutions of Linear ODEs by Numerical Evaluation	2013	Fredrik Johansson Manuel Kauers Marc Mezzarobba
+	Multiple precision evaluation of the Airy Ai function with reduced cancellation	2012	Sylvain Chevillard Marc Mezzarobba
+ PDF Chat	A Note on the Space Complexity of Fast D-Finite Function Evaluation	2012	Marc Mezzarobba
+	Multiple precision evaluation of the Airy Ai function with reduced cancellation	2012	Sylvain Chevillard Marc Mezzarobba
+	Autour de l'évaluation numérique des fonctions D-finies	2011	Marc Mezzarobba
+	Effective bounds for P-recursive sequences	2010	Marc Mezzarobba Bruno Salvy
+	NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions	2010	Marc Mezzarobba
+ PDF Chat	The Dynamic Dictionary of Mathematical Functions (DDMF)	2010	Alexandre Benoît Frédéric Chyzak Alexis Darrasse Stefan Gerhold Marc Mezzarobba Bruno Salvy
+	NumGfun: a Package for Numerical and Analytic Computation with D-finite Functions	2010	Marc Mezzarobba
+	Polynomial Approximation and Floating-Point Numbers	2007	Sylvain Chevillard Marc Mezzarobba
+ PDF Chat	Computing roadmaps in smooth real algebraic sets	2006	Marc Mezzarobba Mohab Safey El Din

Common Coauthors

Coauthor	Papers Together
Fredrik Johansson	6
Frédéric Chyzak	4
Sylvain Chevillard	4
Manuel Kauers	4
Alexandre Benoît	3
Mohab Safey El Din	2
Thomas Dreyfus	2
Stephen Melczer	2
Bruno Salvy	2
Philippe Dumas	2
Mioara Joldeş	2
Horatio Boedihardjo	1
Tristan Vaccon	1
Nobuki Takayama	1
Stefan Gerhold	1
Hao Ni	1
Ruiwen Dong	1
Alexis Darrasse	1
Joscha Diehl	1
Pierre Lairez	1
Alexandre Goyer	1
Xavier Caruso	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Differentiably Finite Power Series	1980	Richard P. Stanley	6
+ PDF Chat	Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic	2017	Fredrik Johansson	5
+	Introduction to the theory of linear differential equations	1936	Edgar Girard Croker Poole	5
+ PDF Chat	GFUN	1994	Bruno Salvy Paul Zimmermann	5
+	Fast Evaluation of Holonomic Functions Near and in Regular Singularities	2001	Joris van der Hoeven	5
+	Autour de l'évaluation numérique des fonctions D-finies	2011	Marc Mezzarobba	4
+	Ordinary differential equations in the complex domain	1976	Einar Hille	4
+	Effective bounds for P-recursive sequences	2010	Marc Mezzarobba Bruno Salvy	4
+	Analytic Combinatorics	2009	Philippe Flajolet Robert Sedgewick	4
+	A holonomic systems approach to special functions identities	1990	Doron Zeilberger	4
+ PDF Chat	Galois Theory of Difference Equations	1997	Marius van der Put Michael F. Singer	4
+	Fast evaluation of holonomic functions	1999	Joris van der Hoeven	4
+ PDF Chat	Analytic theory of singular difference equations	1933	George D. Birkhoff W. J. Trjitzinsky	3
+ PDF Chat	Formal theory of irregular linear difference equations	1930	George D. Birkhoff	3
+	Reduced Cancellation in the Evaluation of Entire Functions and Applications to the Error Function	2007	W. Gawroński Jürgen Müller Marx Reinhard	3
+	Asymptotics and Special Functions	1997	F. W. J. Olver	3
+	Around the numeric–symbolic computation of differential Galois groups	2006	Joris van der Hoeven	3
+	Enumerative Combinatorics	1997	Richard P. Stanley Gian‐Carlo Rota	3
+	An extension of Zeilberger's fast algorithm to general holonomic functions	2000	Frédéric Chyzak	3
+	Efficient accelero-summation of holonomic functions	2007	Joris van der Hoeven	3
+ PDF Chat	Reduction to Canonical Forms and the Stokes Phenomenon in the Theory of Linear Difference Equations	1991	G.K. Immink	3
+	On the Number of Nonscalar Multiplications Necessary to Evaluate Polynomials	1973	Michael S. Paterson Larry J. Stockmeyer	3
+ PDF Chat	A note on the summation of Chebyshev series	1955	C. W. Clenshaw	3
+	Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath	2016	Marc Mezzarobba	3
+ PDF Chat	Chebyshev expansions for solutions of linear differential equations	2009	Alexandre Benoît Bruno Salvy	3
+	Reduced Cancellation in the Evaluation of Entire Functions and Applications to Certain Special Functions	2008	Dem Fachbereich Martin Reinhard	3
+	Lectures on entire functions	1996	B. Yu. Levin	3
+	Ordinary differential equations in the complex domain	2015	Barry Simon	3
+ PDF Chat	Rational and algebraic series in combinatorial enumeration	2007	Mireille Bousquet‐Mélou	2
+	On the computation of the Gauss–Legendre quadrature formula with a given precision	1999	Knut Petras	2
+	Fast multiprecision evaluation of series of rational numbers	1998	Bruno Haible Thomas Papanikolaou	2
+	Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients	1991	С. А. Абрамов K. Yu. Kvansenko	2
+ PDF Chat	Efficient and accurate computation of upper bounds of approximation errors	2010	Sylvain Chevillard John Harrison Mioara Joldeş Ch. Lauter	2
+	Enumerative Combinatorics: Volume 1	2011	Richard P. Stanley	2
+	Integrals of the Ising class	2006	David H. Bailey Jonathan M. Borwein Richard E. Crandall	2
+	The complexity of multiple-precision arithmetic	2010	Richard P. Brent	2
+ PDF Chat	A Bernstein-type inequality for the Jacobi polynomial	1994	Y. K. Chow Luigi Gatteschi R. Wong	2
+	ESF	2003	Ludovic Le Meunier Bruno Salvy	2
+ PDF Chat	Chebyshev series expansion of inverse polynomials	2005	Richard J. Mathar	2
+	Enumerative Combinatorics	1999	Richard P. Stanley Sergey Fomin	2
+	New fast algorithms for polynomial interpolation and evaluation on the Chebyshev node set	1998	Victor Y. Pan	2
+ PDF Chat	Is Gauss quadrature optimal for analytic functions?	1985	Marek A. Kowalski Arthur G. Werschulz H. Woźniakowski	2
+ PDF Chat	Double Exponential Formulas for Numerical Integration	1973	Hidetosi Takahasi Masatake Mori	2
+	Positivity Problems for Low-Order Linear Recurrence Sequences	2013	Joël Ouaknine James Worrell	2
+ PDF Chat	Iteration-Free Computation of Gauss--Legendre Quadrature Nodes and Weights	2014	Ignace Bogaert	2
+ PDF Chat	Is Gauss Quadrature Better than Clenshaw–Curtis?	2008	Lloyd N. Trefethen	2
+	A unified approach to the Tau Method and Chebyshev series expansion techniques	1993	M.K. El-Daou Eduardo L. Ortiz H. Samara	2
+	Error estimates for Miller's algorithm	1976	R.M.M. Mattheij A. van der Sluis	2
+ PDF Chat	Singularity Analysis of Generating Functions	1990	Philippe Flajolet Andrew Odlyzko	2
+ PDF Chat	Die Irreducibilit�t der homogenen linearen Differentialgleichungen	1894	Emanuel Beke	2