Solution spaces of H-systems and the Ore-Sato theorem

FPSAC Proceedings 2005 - 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics

Volumn , Issue , 2005, Pages 361-372

  Abramov, S A ^a   Petkovsek M ^b  

^a DORODNICYN COMPUTING CENTER   (Russian Federation)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX COEFFICIENTS; FIRST-ORDER; NATURAL NUMBER; SOLUTION SPACE;

DIFFERENCE EQUATIONS;

COMBINATORIAL MATHEMATICS;

EID: 84861180413     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. S. A. Abramov and M. Petkovšek, On the structure of multivariate hypergeometric terms, Adv. Appl. Math. 29 (2002) 386-411.
2. S. A. Abramov and M. Petkovšek, Rational normal forms and minimal decompositions of hypergeometric terms, J. Symb. Comput. 33 (2002) 521-543.
3. H. Bateman, A. Erdelyi, Higher Transcendental Functions, Vol. 1, McGraw-Hill, New York-Toronto-London 1953.
4. I. M. Gel'fand, M. I. Graev and V. S. Retakh, General hypergeometric systems of equations and series of hypergeometric type (Russian), Uspekhi Mat. Nauk 47 (1992) 3-82, 235;
5. translation in Russian Math. Surveys 47 (1992) 1-88.
6. O. Ore, Sur la forme des fonctions hypergéométriques de plusieurs variables, J. Math. Pures Appl. 9 (1930) 311-326.
7. M. Petkovšek, H. S. Wilf, D. Zeilberger, A = B, A K Peters, Wellesley, Massachusetts, 1996.
8. M. Sato, T. Shintani and M. Muro, Theory of prehomogeneous vector spaces (algebraic part), Nagoya Math. J. 120 (1990) 1-34.