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Frédéric Chyzak

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2010 – today

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2018
[j12]
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Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas, Marc Mezzarobba:
Computing solutions of linear Mahler equations. Math. Comput. 87(314): 2977-3021 (2018)
[c14]
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Alin Bostan, Frédéric Chyzak, Pierre Lairez, Bruno Salvy:
Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions. ISSAC 2018: 95-102
[i17]
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  - journals/corr/abs-1802-08653
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Jason P. Bell, Frédéric Chyzak, Michael Coons, Philippe Dumas:
Becker's conjecture on Mahler functions. CoRR abs/1802.08653 (2018)
[i16]
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Alin Bostan, Frédéric Chyzak, Pierre Lairez, Bruno Salvy:
Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions. CoRR abs/1805.03445 (2018)
2017
[j11]
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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. Eur. J. Comb. 61: 242-275 (2017)
2016
[i15]
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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. CoRR abs/1606.02982 (2016)
[i14]
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Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas, Marc Mezzarobba:
Computing solutions of linear Mahler equations. CoRR abs/1612.05518 (2016)
2015
[j10]
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  - journals/jsc/ChenCFFL15
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Shaoshi Chen, Frédéric Chyzak, Ruyong Feng, Guofeng Fu, Ziming Li:
On the existence of telescopers for mixed hypergeometric terms. J. Symb. Comput. 68: 1-26 (2015)
2014
[b2]
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Frédéric Chyzak:
The ABC of Creative Telescoping - Algorithms, Bounds, Complexity. École Polytechnique, Palaiseau, France 2014
[c13]
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Frédéric Chyzak, Assia Mahboubi, Thomas Sibut-Pinote, Enrico Tassi:
A Computer-Algebra-Based Formal Proof of the Irrationality of ζ(3). ITP 2014: 160-176
2013
[c12]
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Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li, Guoce Xin:
Hermite reduction and creative telescoping for hyperexponential functions. ISSAC 2013: 77-84
[c11]
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Alin Bostan, Frédéric Chyzak, Elie de Panafieu:
Complexity estimates for two uncoupling algorithms. ISSAC 2013: 85-92
[i13]
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  - journals/corr/abs-1301-5038
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Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li, Guoce Xin:
Hermite Reduction and Creative Telescoping for Hyperexponential Functions. CoRR abs/1301.5038 (2013)
[i12]
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Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li:
Complexity of Creative Telescoping for Bivariate Rational Functions. CoRR abs/1301.5045 (2013)
[i11]
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  - journals/corr/abs-1301-5414
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Alin Bostan, Frédéric Chyzak, Elie de Panafieu:
Complexity Estimates for Two Uncoupling Algorithms. CoRR abs/1301.5414 (2013)
2012
[c10]
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  - conf/issac/BostanCSL12
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Alin Bostan, Frédéric Chyzak, Bruno Salvy, Ziming Li:
Fast computation of common left multiples of linear ordinary differential operators. ISSAC 2012: 99-106
[i10]
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  - journals/corr/abs-1205-0879
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Alin Bostan, Frédéric Chyzak, Ziming Li, Bruno Salvy:
Fast Computation of Common Left Multiples of Linear Ordinary Differential Operators. CoRR abs/1205.0879 (2012)
[i9]
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  - journals/corr/abs-1211-2430
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Shaoshi Chen, Frédéric Chyzak, Ruyong Feng, Guofeng Fu, Ziming Li:
On the Existence of Telescopers for Mixed Hypergeometric Terms. CoRR abs/1211.2430 (2012)
2011
[j9]
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  - journals/cca/BostanCLS11
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Alin Bostan, Frédéric Chyzak, Ziming Li, Bruno Salvy:
Fast computation of common left multiples of linear ordinary differential operators. ACM Comm. Computer Algebra 45(1/2): 111-112 (2011)
[c9]
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Frédéric Chyzak, Alexis Darrasse:
Using camlp4 for presenting dynamic mathematics on the web: DynaMoW, an OCaml language extension for the run-time generation of mathematical contents and their presentation on the web. ICFP 2011: 259-265
[c8]
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Frédéric Chyzak, James H. Davenport, Christoph Koutschan, Bruno Salvy:
On Kahan's Rules for Determining Branch Cuts. SYNASC 2011: 47-51
[i8]
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  - journals/corr/abs-1105-4456
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Alin Bostan, Frédéric Chyzak, Mark van Hoeij, Lucien Pech:
Explicit formula for the generating series of diagonal 3D rook paths. CoRR abs/1105.4456 (2011)
[i7]
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  - journals/corr/abs-1109-2809
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Frédéric Chyzak, James H. Davenport, Christoph Koutschan, Bruno Salvy:
On Kahan's Rules for Determining Branch Cuts. CoRR abs/1109.2809 (2011)
2010
[j8]
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  - journals/cca/BostanCCL10
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Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li:
Rational-functions telescopers: blending creative telescoping with hermite reduction. ACM Comm. Computer Algebra 44(1/2): 9-10 (2010)
[c7]
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  - conf/icms/BenoitCDGMS10
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Alexandre Benoit, Frédéric Chyzak, Alexis Darrasse, Stefan Gerhold, Marc Mezzarobba, Bruno Salvy:
The Dynamic Dictionary of Mathematical Functions (DDMF). ICMS 2010: 35-41
[c6]
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Alin Bostan, Shaoshi Chen, Frédéric Chyzak, Ziming Li:
Complexity of creative telescoping for bivariate rational functions. ISSAC 2010: 203-210

2000 – 2009

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2009
[c5]
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  - conf/issac/ChyzakKS09
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Frédéric Chyzak, Manuel Kauers, Bruno Salvy:
A non-holonomic systems approach to special function identities. ISSAC 2009: 111-118
[i6]
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  - journals/corr/abs-0904-2761
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Frédéric Chyzak, Manuel Kauers, Bruno Salvy:
A Non-Holonomic Systems Approach to Special Function Identities. CoRR abs/0904.2761 (2009)
2008
[j7]
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Frédéric Chyzak, Michael Drmota, Thomas Klausner, Gerard Kok:
The Distribution of Patterns in Random Trees. Combinatorics, Probability & Computing 17(1): 21-59 (2008)
[c4]
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Alin Bostan, Frédéric Chyzak, Nicolas Le Roux:
Products of ordinary differential operators by evaluation and interpolation. ISSAC 2008: 23-30
[i5]
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  - journals/corr/abs-0804-2181
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Alin Bostan, Frédéric Chyzak, Nicolas Le Roux:
Products of Ordinary Differential Operators by Evaluation and Interpolation. CoRR abs/0804.2181 (2008)
2007
[c3]
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  - conf/issac/BostanCSLS07
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Alin Bostan, Frédéric Chyzak, Bruno Salvy, Grégoire Lecerf, Éric Schost:
Differential equations for algebraic functions. ISSAC 2007: 25-32
[c2]
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  - conf/soda/BostanCOSSS07
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Alin Bostan, Frédéric Chyzak, François Ollivier, Bruno Salvy, Éric Schost, Alexandre Sedoglavic:
Fast computation of power series solutions of systems of differential equations. SODA 2007: 1012-1021
[i4]
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  - journals/corr/abs-cs-0703121
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Alin Bostan, Frédéric Chyzak, Bruno Salvy, Grégoire Lecerf, Éric Schost:
Differential Equations for Algebraic Functions. CoRR abs/cs/0703121 (2007)
2006
[c1]
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  - conf/issac/BostanCSC06
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Alin Bostan, Frédéric Chyzak, Bruno Salvy, Thomas Cluzeau:
Low complexity algorithms for linear recurrences. ISSAC 2006: 31-38
[i3]
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  - journals/corr/abs-cs-0604101
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Alin Bostan, Frédéric Chyzak, François Ollivier, Bruno Salvy, Éric Schost, Alexandre Sedoglavic:
Fast computation of power series solutions of systems of differential equations. CoRR abs/cs/0604101 (2006)
[i2]
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  - journals/corr/abs-cs-0605019
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Frédéric Chyzak, Michael Drmota, Thomas Klausner, Gerard Kok:
The Distribution of Patterns in Random Trees. CoRR abs/cs/0605019 (2006)
[i1]
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  - journals/corr/abs-cs-0605068
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Alin Bostan, Frédéric Chyzak, Bruno Salvy, Thomas Cluzeau:
Low Complexity Algorithms for Linear Recurrences. CoRR abs/cs/0605068 (2006)
2005
[j6]
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  - journals/aaecc/ChyzakQR05
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Frédéric Chyzak, Alban Quadrat, Daniel Robertz:
Effective algorithms for parametrizing linear control systems over Ore algebras. Appl. Algebra Eng. Commun. Comput. 16(5): 319-376 (2005)
[j5]
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Frédéric Chyzak, Marni Mishna, Bruno Salvy:
Effective scalar products of D-finite symmetric functions. J. Comb. Theory, Ser. A 112(1): 1-43 (2005)
2001
[j4]
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  - journals/algorithmica/AtallahCD01
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Mikhail J. Atallah, Frédéric Chyzak, Philippe Dumas:
A Randomized Algorithm for Approximate String Matching. Algorithmica 29(3): 468-486 (2001)
[j3]
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  - journals/em/ChyzakPSSZ01
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Frédéric Chyzak, Peter Paule, Otmar Scherzer, Armin Schoisswohl, Burkhard Zimmermann:
The Construction of Orthonormal Wavelets Using Symbolic Methods and a Matrix Analytical Approach for Wavelets on the Interval. Experimental Mathematics 10(1): 67-86 (2001)
2000
[j2]
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  - journals/dm/Chyzak00
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Frédéric Chyzak:
An extension of Zeilberger's fast algorithm to general holonomic functions. Discrete Mathematics 217(1-3): 115-134 (2000)

1990 – 1999

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1998
[b1]
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Frédéric Chyzak:
Fonctions holonomes en calcul formel. (Holonomic functions in computer algebra). École Polytechnique, Palaiseau, France 1998
[j1]
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Frédéric Chyzak, Bruno Salvy:
Non-Commutative Elimination in Ore Algebras Proves Multivariate Identities. J. Symb. Comput. 26(2): 187-227 (1998)

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