Holonomic functions and their relation to linearly constrained languages
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 27 (1993) no. 2, pp. 149-161. 
@article{ITA_1993__27_2_149_0,
     author = {Massazza, P.},
     title = {Holonomic functions and their relation to linearly constrained languages},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {149--161},
     publisher = {EDP-Sciences},
     volume = {27},
     number = {2},
     year = {1993},
     mrnumber = {1217683},
     zbl = {0781.68079},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1993__27_2_149_0/}
}
TY  - JOUR
AU  - Massazza, P.
TI  - Holonomic functions and their relation to linearly constrained languages
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 1993
SP  - 149
EP  - 161
VL  - 27
IS  - 2
PB  - EDP-Sciences
UR  - http://www.numdam.org/item/ITA_1993__27_2_149_0/
LA  - en
ID  - ITA_1993__27_2_149_0
ER  - 
%0 Journal Article
%A Massazza, P.
%T Holonomic functions and their relation to linearly constrained languages
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 1993
%P 149-161
%V 27
%N 2
%I EDP-Sciences
%U http://www.numdam.org/item/ITA_1993__27_2_149_0/
%G en
%F ITA_1993__27_2_149_0
Massazza, P. Holonomic functions and their relation to linearly constrained languages. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 27 (1993) no. 2, pp. 149-161. http://www.numdam.org/item/ITA_1993__27_2_149_0/

1. I. N. Bernstein, Modules over a ring of differential operators. A study of the fundamental solutions of equations with constant coefficients, Functional Anal. Appl., 5, (2), 1971, p. 1-16 (in Russian), p. 89-101 (English translation). | MR | Zbl

2. I. N. Bernstein, The analytic continuation of generalized functions with respect to a parameter, Functional Anal. Appl., 6, (4), 1972, p. 26-40 (in Russian), p. 273-285 (English translation). | MR | Zbl

3. A. Bertoni, M. Goldwurm and P. Massazza, Counting problems and algebraic formal power series in noncommuting variables, Inform. Process. Lett., 34, 1990, p. 117-121. | MR | Zbl

4. J. Berstel and C. Reutenauer, Rational series and their languages, Springer-Verlag, Berlin Heidelberg, 1988. | MR | Zbl

5. N. Chomsky and M. P. Schuetzenberger, The algebraic theory of context-free languages, Computer Programming and Formal Systems, North-Holland, Amsterdam, 1963, p. 118-161. | MR | Zbl

6. M. Clausen and A. Fortenbacher, Efficient solution of linear diophantine equations, J. Symbolic Comput., 8, 1989, p. 201-216. | MR | Zbl

7. S. Eilenberg and M. P. Schuetzenberger, Rational sets in commutative monoids, J. Algebra, 13, (2), 1969, p. 173-191. | MR | Zbl

8. P. Flajolet, Analytic models and ambiguity of context-free languages, Theoret. Compul. Sci., 49, 1987, p. 283-309. | MR | Zbl

9. M. Goldwurm and P. Massazza, On computing the coefficients of holonomic and algebraic multivariate formal series, Internal Report, Dip. di Scienze dell'Informazione, Univ. degli Studi di Milano, 1992.

10. G. Huet, An algorithm to generate the basis of solutions to homogeneous linear diophantine equations, Inform. Process. Lett., 7, 1978, p. 144-147. | Zbl

11. J. L. Lambert, Une borne pour les générateurs des solutions entières positives d'une équation diophantienne linéaire, C.R. Acad. Sci. Paris, t. 305, série I, 1987, p. 39-40. | Zbl

12. L. Lipshitz, D-Finite Power Series, J. Algebra, 122, 1989, p. 353-373. | Zbl

13. P. Massazza, Problemi di conteggio e funzioni generatrici olonomiche, Tesi di Dottorato, Dip. di Scienze dell'Informazione, Univ. degli Studi di Milano, 1990.

14. P. Massazza and N. Sabadini, Some applications and techniques for generating functions, Proc. CAAP, LNCS, 351, Springer-Verlag, 1989, p. 321-336. | MR

15. P. Massazza and N. Sabadini, Holonomic generating functions and context free languages, Proc. of the first Italian conference on algorithms and complexity, World Scientific, Singapore, 1990, p. 148-158. Extended version to appear in: International Journal of Foundations of Computer Science. | MR | Zbl

16. A. Salomaa and M. Soittola, Automata-theoretic aspects of formal power series, Springer-Verlag, New York, 1978. | MR | Zbl

17. R. P. Stanley, Differentiably finite power series, European J. Combin., 1, 1980, p. 175-188. | MR | Zbl

18. J. Wimp and D. Zeilberger, Resurrecting the Asymptotics of Linear Recurrences, J. Math. Anal. Appl., 111, 1985, p. 162-176. | MR | Zbl

19. D. Zeilberger, A holonomic systems approach to special functions identifies, J. Comput. Appl. Math., 32, 1990, p. 321-368. | MR | Zbl