G-functions and geometry, Aspects of Mathematics E13. Friedr. Vieweg & Sohn, 1989. ,
DOI : 10.1007/978-3-663-14108-2
Integer relation detection, Computing in Science & Engineering, vol.2, issue.1, pp.29-31, 2007. ,
DOI : 10.1109/5992.814653
Basic analytic combinatorics of directed lattice paths, Theoretical Computer Science, vol.281, issue.1-2, pp.37-80, 2002. ,
DOI : 10.1016/S0304-3975(02)00007-5
A Uniform Approach for the Fast Computation of Matrix-Type Pad?? Approximants, SIAM Journal on Matrix Analysis and Applications, vol.15, issue.3, pp.804-823, 1994. ,
DOI : 10.1137/S0895479892230031
Differential equations for algebraic functions, Proceedings of the 2007 international symposium on Symbolic and algebraic computation , ISSAC '07, pp.25-32, 2007. ,
DOI : 10.1145/1277548.1277553
URL : https://hal.archives-ouvertes.fr/inria-00138206
The complete generating function for Gessel walks is algebraic, Proceedings of the American Mathematical Society, vol.138, issue.09, 2009. ,
DOI : 10.1090/S0002-9939-2010-10398-2
URL : https://hal.archives-ouvertes.fr/hal-00780429
Counting Walks in the Quarter Plane, Mathematics and computer science, II (Versailles Trends Math, pp.49-67, 2002. ,
DOI : 10.1007/978-3-0348-8211-8_3
Walks in the quarter plane: Kreweras??? algebraic model, The Annals of Applied Probability, vol.15, issue.2, pp.1451-1491, 2005. ,
DOI : 10.1214/105051605000000052
Walks with small steps in the quarter plane, 2008. ,
DOI : 10.1090/conm/520/10252
Linear recurrences with constant coefficients: the multivariate case, Discrete Mathematics, vol.225, issue.1-3, pp.51-7598, 2000. ,
DOI : 10.1016/S0012-365X(00)00147-3
Algebraic approximants: a new method of series analysis, Journal of Physics A: Mathematical and General, vol.23, issue.24, pp.1331-1337, 1990. ,
DOI : 10.1088/0305-4470/23/24/008
Algorithmes d'accélération de la convergence. ´ Editions Technip, Etude numérique, Collection Langages et Algorithmes de l'Informatique, 1978. ,
Théorèmes d'algébricité en géométrie diophantienne (d'après, pp.175-209, 2002. ,
Applications of Pad?? approximations to diophantine inequalities in values of G-functions, Number theory, pp.1983-84, 1985. ,
DOI : 10.3792/pjaa.59.281
On globally nilpotent differential equations. ArXiv:math/0605383, 2006. ,
Differential Operators with Nilpotent p-Curvature, American Journal of Mathematics, vol.112, issue.5, pp.749-786, 1990. ,
DOI : 10.2307/2374806
An introduction to G-functions, Annals of Mathematics Studies, vol.133, 1994. ,
Analytic models and ambiguity of context-free languages, Theoretical Computer Science, vol.49, issue.2-3, pp.283-309, 1987. ,
DOI : 10.1016/0304-3975(87)90011-9
URL : https://hal.archives-ouvertes.fr/inria-00076071
Analytic Combinatorics, 2009. ,
DOI : 10.1017/CBO9780511801655
URL : https://hal.archives-ouvertes.fr/inria-00072739
G-functions and multisum versus holonomic sequences, Advances in Mathematics, vol.220, issue.6, pp.1945-1955, 2009. ,
DOI : 10.1016/j.aim.2008.11.012
URL : http://doi.org/10.1016/j.aim.2008.11.012
Algebraic differential equations, Symposia Mathematica, pp.169-204, 1979. ,
Nilpotent connections and the monodromy theorem: Applications of a result of turrittin, Publications math??matiques de l'IH??S, vol.93, issue.1, pp.175-232, 1970. ,
DOI : 10.1007/BF02684688
Guessing handbook, 2009. ,
Proof of Ira Gessel's lattice path conjecture, Proceedings of the National Academy of Sciences, vol.106, issue.28, 2008. ,
DOI : 10.1073/pnas.0901678106
The quasi-holonomic ansatz and restricted lattice walks, Journal of Difference Equations and Applications, vol.1, issue.10-11, pp.10-111119, 2008. ,
DOI : 10.1007/s00026-007-0316-z
An example of an arithmetic Fuchsian group, J. Reine Angew. Math, vol.473, pp.69-85, 1996. ,
Sur une classe deprobì emes de dénombrement liés au treillis des partitions des entiers, Cahiers du B.U.R.O, vol.6, pp.5-105, 1965. ,
Algorithmic manipulations and transformations of univariate holonomic functions and sequences. Master's thesis, 1996. ,
Classifying lattice walks restricted to the quarter plane, Journal of Combinatorial Theory, Series A, vol.116, issue.2, pp.460-477, 2009. ,
DOI : 10.1016/j.jcta.2008.06.011
Plouffe's inverter ,
GFUN: a Maple package for the manipulation of generating and holonomic functions in one variable, ACM Transactions on Mathematical Software, vol.20, issue.2, pp.163-177, 1994. ,
DOI : 10.1145/178365.178368
URL : https://hal.archives-ouvertes.fr/hal-00917741
Operators with Nilpotent p-Curvature, Proceedings of the American Mathematical Society, vol.119, issue.3, pp.701-710, 1993. ,
DOI : 10.2307/2160503
Resurrecting the asymptotics of linear recurrences, Journal of Mathematical Analysis and Applications, vol.111, issue.1, pp.162-176, 1985. ,
DOI : 10.1016/0022-247X(85)90209-4