@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. 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. 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. Counting problems and algebraic formal power series in noncommuting variables, Inform. Process. Lett., 34, 1990, p. 117-121. | MR | Zbl
, and ,4. Rational series and their languages, Springer-Verlag, Berlin Heidelberg, 1988. | MR | Zbl
and ,5. The algebraic theory of context-free languages, Computer Programming and Formal Systems, North-Holland, Amsterdam, 1963, p. 118-161. | MR | Zbl
and ,6. Efficient solution of linear diophantine equations, J. Symbolic Comput., 8, 1989, p. 201-216. | MR | Zbl
and ,7. Rational sets in commutative monoids, J. Algebra, 13, (2), 1969, p. 173-191. | MR | Zbl
and ,8. Analytic models and ambiguity of context-free languages, Theoret. Compul. Sci., 49, 1987, p. 283-309. | MR | Zbl
,9. On computing the coefficients of holonomic and algebraic multivariate formal series, Internal Report, Dip. di Scienze dell'Informazione, Univ. degli Studi di Milano, 1992.
and ,10. An algorithm to generate the basis of solutions to homogeneous linear diophantine equations, Inform. Process. Lett., 7, 1978, p. 144-147. | Zbl
,11. 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. D-Finite Power Series, J. Algebra, 122, 1989, p. 353-373. | Zbl
,13. Problemi di conteggio e funzioni generatrici olonomiche, Tesi di Dottorato, Dip. di Scienze dell'Informazione, Univ. degli Studi di Milano, 1990.
,14. Some applications and techniques for generating functions, Proc. CAAP, LNCS, 351, Springer-Verlag, 1989, p. 321-336. | MR
and ,15. 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
and ,16. Automata-theoretic aspects of formal power series, Springer-Verlag, New York, 1978. | MR | Zbl
and ,17. Differentiably finite power series, European J. Combin., 1, 1980, p. 175-188. | MR | Zbl
,18. Resurrecting the Asymptotics of Linear Recurrences, J. Math. Anal. Appl., 111, 1985, p. 162-176. | MR | Zbl
and ,19. A holonomic systems approach to special functions identifies, J. Comput. Appl. Math., 32, 1990, p. 321-368. | MR | Zbl
,