Special functions, volume 71 of Encyclopedia of Mathematics and its Applications, 1999. ,
Formal Laurent series in several variables, Expositiones Mathematicae, vol.31, issue.4, pp.350-367, 2013. ,
DOI : 10.1016/j.exmath.2013.01.004
URL : https://hal.archives-ouvertes.fr/hal-00825858
Dénombrements de chemins dans R 2 soumisàsoumisà contraintes, RAIRO Inform. Théor. Appl, vol.20, issue.4, pp.473-482, 1986. ,
Explicit formula for the generating series of diagonal 3D rook paths, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00780432
Unpublished notes, 2008. ,
Automatic classification of restricted lattice walks, 21st International Conference on Formal Power Series and Algebraic Combinatorics Discrete Math. Theor. Comput. Sci. Proc., AK, pp.201-215, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00780428
The complete generating function for Gessel walks is algebraic, Proceedings of the American Mathematical Society, vol.138, issue.09, pp.3063-3078, 2010. ,
DOI : 10.1090/S0002-9939-2010-10398-2
URL : https://hal.archives-ouvertes.fr/hal-00780429
Non-D-finite excursions in the quarter plane, Journal of Combinatorial Theory, Series A, vol.121, pp.45-63, 2014. ,
DOI : 10.1016/j.jcta.2013.09.005
URL : https://hal.archives-ouvertes.fr/hal-00697386
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, Algorithmic probability and combinatorics, pp.1-39, 2010. ,
DOI : 10.1090/conm/520/10252
Walks confined in a quadrant are not always D-finite, Theoretical Computer Science, vol.307, issue.2, pp.257-276, 2003. ,
DOI : 10.1016/S0304-3975(03)00219-6
Démonstration " automatique " d'identités et fonctions hypergéométriques ,
An extension of Zeilberger's fast algorithm to general holonomic functions, Discrete Mathematics, vol.217, issue.1-3, pp.115-134, 2000. ,
DOI : 10.1016/S0012-365X(99)00259-9
Random walks in cones, The Annals of Probability, vol.43, issue.3, pp.992-1044, 2015. ,
DOI : 10.1214/13-AOP867
2-descent for second order linear differential equations, Proceedings of the 36th international symposium on Symbolic and algebraic computation, ISSAC '11, pp.107-114, 2011. ,
DOI : 10.1145/1993886.1993907
On the holonomy or algebraicity of generating functions counting lattice walks in the quarter-plane. Markov Process, pp.485-496, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00559676
Random walks in the quarter-plane Algebraic methods, boundary value problems and applications, Applications of Mathematics, vol.40, 1999. ,
Analytic models and ambiguity of context-free languages, Twelfth international colloquium on automata, languages and programming, pp.283-309, 1985. ,
DOI : 10.1016/0304-3975(87)90011-9
URL : https://hal.archives-ouvertes.fr/inria-00076071
Singularity Analysis of Generating Functions, SIAM Journal on Discrete Mathematics, vol.3, issue.2, pp.216-240, 1990. ,
DOI : 10.1137/0403019
URL : https://hal.archives-ouvertes.fr/inria-00075725
Analytic combinatorics, 2009. ,
DOI : 10.1017/CBO9780511801655
URL : https://hal.archives-ouvertes.fr/inria-00072739
A probabilistic method for lattice path enumeration, Journal of Statistical Planning and Inference, vol.14, issue.1, pp.49-58, 1986. ,
DOI : 10.1016/0378-3758(86)90009-1
Random walk in a Weyl chamber Sur l'´ equation différentielle linéaire qui admet pour intégrale la série hypergéométrique, Proc. Amer. Math. Soc. Ann. Sci. ´ Ecole Norm. Sup, vol.11524, issue.10, pp.27-313, 1992. ,
Chemins sous-diagonaux et tableaux de Young, Combinatoiré enumérative, pp.112-125, 1985. ,
DOI : 10.4153/CJM-1962-032-x
Lattice paths, reflections, & dimension-changing bijections, Ars Combin, vol.34, pp.3-15, 1992. ,
A history and a survey of lattice path enumeration, Journal of Statistical Planning and Inference, vol.140, issue.8, pp.2237-2254, 2010. ,
DOI : 10.1016/j.jspi.2010.01.020
A Fast Approach to Creative Telescoping, Mathematics in Computer Science, vol.32, issue.3, pp.259-266, 2010. ,
DOI : 10.1007/s11786-010-0055-0
An algorithm for solving second order linear homogeneous differential equations, Journal of Symbolic Computation, vol.2, issue.1, pp.3-43, 1986. ,
DOI : 10.1016/S0747-7171(86)80010-4
Lattice Path Enumeration, Handbook of enumerative combinatorics, pp.589-678, 2015. ,
DOI : 10.1201/b18255-13
Sur une classe deprobì emes liés au treillis des partitions d'entiers, Cahiers du B.U.R.O, vol.6, pp.5-105, 1965. ,
On the functions counting walks with small steps in the quarter plane, Publications math??matiques de l'IH??S, vol.14, issue.1, pp.69-114, 2012. ,
DOI : 10.1007/s10240-012-0045-7
URL : https://hal.archives-ouvertes.fr/hal-00628424
Computing periods of rational integrals, Mathematics of Computation, vol.85, issue.300, pp.1719-1752, 2016. ,
DOI : 10.1090/mcom/3054
URL : https://hal.archives-ouvertes.fr/hal-00981114
The diagonal of a D-finite power series is D-finite, Journal of Algebra, vol.113, issue.2, pp.373-378, 1988. ,
DOI : 10.1016/0021-8693(88)90166-4
Enumerating lattice paths with symmetries through multivariate diagonals, AofA 2014 Proc., AK, pp.1-12 ,
Singularity Analysis Via the Iterated Kernel Method, Combinatorics, Probability and Computing, vol.17, issue.05, pp.861-888, 2014. ,
DOI : 10.1016/S0304-3975(02)00007-5
URL : https://hal.archives-ouvertes.fr/hal-01229731
Asymptotics of lattice walks via analytic combinatorics in several variables, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01394166
Two non-holonomic lattice walks in the quarter plane, Theoretical Computer Science, vol.410, issue.38-40, pp.38-403616, 2009. ,
DOI : 10.1016/j.tcs.2009.04.008
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
Counting walks in a quadrant: a unified approach via boundary value problems, Journal of the European Mathematical Society, vol.14, issue.3, pp.749-777, 2012. ,
DOI : 10.4171/JEMS/317
URL : https://hal.archives-ouvertes.fr/hal-00461853
Asymptotic values for degrees associated with strips of young diagrams, Advances in Mathematics, vol.41, issue.2, pp.115-136, 1981. ,
DOI : 10.1016/0001-8708(81)90012-8
The On-Line Encyclopedia of Integer Sequences, 2010. ,
DOI : 10.1007/978-3-540-73086-6_12
On the Picard-Fuchs equation and the formal brauer group of certain ellipticK3-surfaces, Mathematische Annalen, vol.126, issue.2, pp.269-304, 1985. ,
DOI : 10.1007/BF01455990
Classical automorphic forms and hypergeometric functions, Journal of Number Theory, vol.28, issue.2, pp.219-232, 1988. ,
DOI : 10.1016/0022-314X(88)90067-4
Commensurability classes of arithmetic triangle groups, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.24, issue.1, pp.201-212, 1977. ,
Factorization of Differential Operators with Rational Functions Coefficients, Journal of Symbolic Computation, vol.24, issue.5, pp.537-561, 1997. ,
DOI : 10.1006/jsco.1997.0151
Classifying (near)-Belyi maps with five exceptional points, 2016. ,
Transformations of some Gauss hypergeometric functions, Journal of Computational and Applied Mathematics, vol.178, issue.1-2, pp.473-487, 2005. ,
DOI : 10.1016/j.cam.2004.09.053
A holonomic systems approach to special functions identities, Journal of Computational and Applied Mathematics, vol.32, issue.3, pp.321-368, 1990. ,
DOI : 10.1016/0377-0427(90)90042-X
The method of creative telescoping, Journal of Symbolic Computation, vol.11, issue.3, pp.195-204, 1991. ,
DOI : 10.1016/S0747-7171(08)80044-2