Piecewise-constant derivative systems and their algorithmic properties, Algorithms Seminar B. Salvy, Éd., no. 2381 in Rapport de recherche Inria, pp.133-136, 1993. ,
Effective identity testing in extensions of differential fields, Algorithms Seminar B. Salvy, Éd., no. 2669 in Rapport de recherche Inria, pp.47-50, 1994. ,
Polynomial solutions of linear operator equations, Algorithms Seminar B. Salvy, Éd., no. 2669 in Rapport de recherche Inria, pp.31-34, 1994. ,
On a problem of Rubel, Algorithms Seminar B. Salvy, Éd., no. 2992 in Rapport de recherche Inria, pp.59-62, 1995. ,
A zero-one law for maps, Algorithms Seminar B. Salvy, Éd., no. 2992 in Rapport de recherche Inria, pp.19-22, 1995. ,
Absolute factorization of differential operators, Algorithms Seminar B. Salvy, Éd., no. 3267 in Rapport de recherche Inria, pp.33-36, 1996. ,
Differential equations, nested forms and star products, Algorithms Seminar B. Salvy, Éd., no. 3267 in Rapport de recherche Inria, pp.41-44, 1996. ,
A method for the integration of solutions of Ore equations, Proceedings of the 1997 international symposium on Symbolic and algebraic computation , ISSAC '97, pp.172-175, 1997. ,
DOI : 10.1145/258726.258774
Problems in computer algebra that are connected with a search for polynomial solutions of linear differential and difference equations, Moscow Univ. Comput. Math. Cybernet, vol.3, pp.63-68, 1989. ,
Rational solutions of linear differential and difference equations with polynomial coefficients, USSR Computational Mathematics and Mathematical Physics, vol.29, issue.6, pp.1611-1620, 1989. ,
DOI : 10.1016/S0041-5553(89)80002-3
-difference equations with polynomial coefficients, Proceedings of the 1995 international symposium on Symbolic and algebraic computation , ISSAC '95, pp.285-289, 1995. ,
DOI : 10.1145/220346.220383
URL : https://hal.archives-ouvertes.fr/hal-01109213
On polynomial solutions of linear operator equations, Proceedings of the 1995 international symposium on Symbolic and algebraic computation , ISSAC '95, pp.290-296, 1995. ,
DOI : 10.1145/220346.220384
Fast algorithms to search for the rational solutions of linear differential equations with polynomial coefficients, Proceedings of the 1991 international symposium on Symbolic and algebraic computation , ISSAC '91, pp.267-270, 1991. ,
DOI : 10.1145/120694.120735
A universal program to uncouple linear systems, Proceedings of CMCP'96 (International Conference on Computational Modeling and Computing in Physics, pp.16-26, 1996. ,
Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1973. ,
DOI : 10.1119/1.1972842
The method of differentiating under the integral sign, Journal of Symbolic Computation, vol.10, issue.6, pp.571-591, 1990. ,
DOI : 10.1016/S0747-7171(08)80159-9
An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli, Proceedings of the National Academy of Sciences of the USA 71, pp.4082-4085, 1974. ,
DOI : 10.1073/pnas.71.10.4082
The Theory of Partitions, de Encyclopedia of Mathematics and its Applications, 1976. ,
DOI : 10.1017/CBO9780511608650
Multiple series Rogers-Ramanujan type identities, Pacific Journal of Mathematics, vol.114, issue.2, pp.267-283, 1984. ,
DOI : 10.2140/pjm.1984.114.267
q-Series: their Development and Application in Analysis, Number Theory, Combinatorics, Physics, and Computer Algebra, CBMS Regional Conference Series in Mathematics. Publié pour le Conference Board of the Mathematical Sciences, 1986. ,
DOI : 10.1090/cbms/066
The world of q, CWI Quarterly, vol.5, issue.4, pp.251-270, 1992. ,
An algorithm for estimating all matches between two strings, Institut National de Recherche en Informatique et en Automatique, 1997. ,
URL : https://hal.archives-ouvertes.fr/inria-00073495
An efficient algorithm to compute the rational solutions of systems of linear differential equations ,
An algorithm for computing a companion block diagonal form for a system of linear differential equations, Applicable Algebra in Engineering, Communication and Computing, vol.109, issue.3, pp.185-195, 1993. ,
DOI : 10.1007/BF01202037
Computation of Hilbert functions, Journal of Symbolic Computation, vol.14, issue.1, pp.31-50, 1992. ,
DOI : 10.1016/0747-7171(92)90024-X
Groebner bases. A computational approach to commutative algebra de Graduate texts in mathematics, 1993. ,
Modules over a ring of differential operators, study of the fundamental solutions of equations with constant coefficients. Functional Analysis and its Applications, pp.1-16, 1971. ,
The analytic continuation of generalized functions with respect to a parameter, Functional Analysis and its Applications, vol.6, issue.4, pp.26-40, 1972. ,
Rings of Differential Operators, North Holland P. C, 1979. ,
de Perspectives in Mathematics, A. Algebraic D-Modules, vol.2, 1987. ,
On Ore rings, linear operators and factorisation, Programmirovanie, vol.1, pp.27-44, 1994. ,
An introduction to pseudo-linear algebra, Theoretical Computer Science, vol.157, issue.1, 1996. ,
DOI : 10.1016/0304-3975(95)00173-5
Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Thèse, 1965. ,
Ein algorithmisches Kriterium f??r die L??sbarkeit eines algebraischen Gleichungssystems, Aequationes Mathematicae, vol.95, issue.3, pp.374-383, 1970. ,
DOI : 10.1007/BF01844169
Gröbner bases: an algorithmic method in polynomial ideal theory In Recent trends in multidimensional system theory, pp.184-232, 1985. ,
Introduction to Groebner Bases, Groebner Bases and Applications (Proc. of the Conference 33 Years of Gröbner Bases), 1998. ,
DOI : 10.1007/978-3-642-59048-1_2
Miscellaneous results on the construction of Gröbner bases for polynomial ideals, 1979. ,
A curious binomial identity, Discrete Mathematics, vol.131, issue.1-3, pp.1-3, 1994. ,
DOI : 10.1016/0012-365X(94)90394-8
Démonstration " automatique " d'identités et fonctions hypergéométriques, Astérisque, vol.206, pp.41-91, 1992. ,
An extension of Zeilberger's fast algorithm to general holonomic functions, Formal Power Series and Algebraic Combinatorics, 9th Conference, pp.172-183, 1997. ,
DOI : 10.1016/S0012-365X(99)00259-9
Non-commutative Elimination in Ore Algebras Proves Multivariate Identities, Journal of Symbolic Computation, vol.26, issue.2, pp.187-227, 1998. ,
DOI : 10.1006/jsco.1998.0207
URL : https://hal.archives-ouvertes.fr/hal-01069833
Free Rings and their Relations, 1971. ,
A Primer of Algebraic D-modules. No. 33 in London Mathematical Society Student Texts, 1995. ,
Ideals, Varieties, and Algorithms, 1992. ,
The Weyl Algebra de Perspectives in Mathematics, pp.173-205, 1987. ,
A short WZ-style proof of Abel's identity The Foata Festschrift, The Electronic Journal of Combinatorics, vol.3, issue.2, 1996. ,
Higher Transcendental Functions, pp.2-3, 1981. ,
Some generalized hypergeometric polynomials, Bulletin of the American Mathematical Society, vol.53, issue.8, 1945. ,
DOI : 10.1090/S0002-9904-1947-08893-5
Some generalized hypergeometric polynomials, Bulletin of the American Mathematical Society, vol.53, issue.8, pp.806-812, 1947. ,
DOI : 10.1090/S0002-9904-1947-08893-5
A Note on Pure Recurrence Relations, The American Mathematical Monthly, vol.56, issue.1, pp.14-17, 1949. ,
DOI : 10.2307/2305810
Résolution de systèmes d'équations algébriques, Thèse, 1994. ,
Efficient Computation of Zero-dimensional Gr??bner Bases by Change of Ordering, Journal of Symbolic Computation, vol.16, issue.4, pp.329-344, 1993. ,
DOI : 10.1006/jsco.1993.1051
The average case analysis of algorithms: Complex asymptotics and generating functions, Institut National de Recherche en Informatique et en Automatique, 1993. ,
URL : https://hal.archives-ouvertes.fr/inria-00074645
The average case analysis of algorithms: Counting and generating functions, Institut National de Recherche en Informatique et en Automatique, 1993. ,
URL : https://hal.archives-ouvertes.fr/inria-00074784
The average case analysis of algorithms: Saddle point asymptotics, Institut National de Recherche en Informatique et en Automatique, 1994. ,
URL : https://hal.archives-ouvertes.fr/inria-00074300
Some algorithmic questions on ideals of differential operators, Comptes rendus, pp.413-421, 1985. ,
DOI : 10.1007/3-540-15984-3_301
Algorithms for Computer Algebra, 1992. ,
DOI : 10.1007/b102438
???One sugar cube, please??? or selection strategies in the Buchberger algorithm, Proceedings of the 1991 international symposium on Symbolic and algebraic computation , ISSAC '91, pp.49-54, 1991. ,
DOI : 10.1145/120694.120701
Some Integrals Involving Bessel Functions, Journal of Mathematical Analysis and Applications, vol.183, issue.3, pp.577-590, 1994. ,
DOI : 10.1006/jmaa.1994.1164
A Combinatorial Generalization of the Rogers-Ramanujan Identities, American Journal of Mathematics, vol.83, issue.2, pp.393-399, 1961. ,
DOI : 10.2307/2372962
Decision procedure for indefinite hypergeometric summation, Proceedings of the National Academy of Sciences, vol.75, issue.1, pp.40-42, 1978. ,
DOI : 10.1073/pnas.75.1.40
Non-commutative Gr??bner bases in algebras of solvable type, Journal of Symbolic Computation, vol.9, issue.1, pp.1-26, 1990. ,
DOI : 10.1016/S0747-7171(08)80003-X
Summation in Finite Terms, Journal of the ACM, vol.28, issue.2, pp.305-350, 1981. ,
DOI : 10.1145/322248.322255
Theory of Summation in Finite Terms, Journal of Symbolic Computation, vol.1, issue.3, pp.303-315, 1985. ,
DOI : 10.1016/S0747-7171(85)80038-9
On the holonomic systems of linear differential equations, II, Inventiones Mathematicae, vol.38, issue.2, pp.121-135, 1978. ,
DOI : 10.1007/BF01403082
Fundamental Algorithms, The Art of Computer Programming, 1973. ,
The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue. Rapport technique DUT-TWI-94-05, 1994. ,
On Zeilberger's algorithm and its q-analogue, Journal of Computational and Applied Mathematics, vol.48, issue.1-2, pp.91-111, 1993. ,
DOI : 10.1016/0377-0427(93)90317-5
Solvable Polynomial Rings Reihe Mathematik. Verlag Shaker D'après la thèse, 1993. ,
DOI : 10.1007/978-3-319-24021-3_21
Systems of algebraic equations (algorithms and complexity) Rapport technique 92, LITP, vol.20, 1992. ,
A subresultant theory for linear ordinary differential polynomials, 1995. ,
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
D-finite power series, Journal of Algebra, vol.122, issue.2, pp.353-373, 1989. ,
DOI : 10.1016/0021-8693(89)90222-6
URL : http://doi.org/10.1016/0021-8693(89)90222-6
Groebner bases for non-commutative polynomial rings, Algebraic algorithms and error-correcting codes, pp.353-362, 1985. ,
DOI : 10.1007/3-540-16776-5_740
Seven variations on standard bases, 1988. ,
An introduction to commutative and noncommutative Gr??bner bases, Theoretical Computer Science, vol.134, issue.1, pp.131-173, 1994. ,
DOI : 10.1016/0304-3975(94)90283-6
Linear Equations in Non-Commutative Fields, The Annals of Mathematics, vol.32, issue.3, pp.463-477, 1931. ,
DOI : 10.2307/1968245
Theory of Non-Commutative Polynomials, The Annals of Mathematics, vol.34, issue.3, pp.480-508, 1933. ,
DOI : 10.2307/1968173
A WZ-style proof of Jacobi polynomials' generating function, Discrete Mathematics, vol.110, issue.1-3, pp.263-264, 1992. ,
DOI : 10.1016/0012-365X(92)90715-R
On identities of the Rogers-Ramanujan type, Journal of Mathematical Analysis and Applications, vol.107, issue.1, pp.255-284, 1985. ,
DOI : 10.1016/0022-247X(85)90368-3
A note on Bailey's Lemma, Journal of Combinatorial Theory, Series A, vol.44, issue.1, pp.164-167, 1987. ,
DOI : 10.1016/0097-3165(87)90070-7
The concept of Bailey chains, Actes du Séminaire Lotharingien, pp.53-76, 1988. ,
Short and easy computer proofs of the Rogers-Ramanujan identities and of identities of similar type, The Electronic Journal of Combinatorics, vol.1, p.10, 1994. ,