Special formal series solutions of linear operator equations

Discrete Mathematics

Volumn 210, Issue 1-3, 2000, Pages 3-25

  Abramov, Sergei A ^a   Petkovšek, Marko ^b   Ryabenko, Anna ^c  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

^c MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002919327     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(99)00118-1     Document Type: Article

References (11)

1. S.A. Abramov, Rational solutions of linear difference and q-difference equations with polynomial coefficients, Progr. Comp. Software 21 (1995) 273-278.
2. S.A. Abramov, M. Bronstein, M. Petkovšek, On polynomial solutions of linear operator equations, in: T. Levelt (Ed.), Proceedings ISSAC '95, Montreal, Canada, July 10-12, ACM Press, New York, 1995, pp. 290-296.
3. S.A. Abramov, P. Paule, M. Petkovšek, q-Hypergeometric solutions of q-difference equations, Discrete Math. 180 (1998) 3-22.
4. S.A. Abramov, M. Petkovšek, D'Alembertian solutions of linear differential and difference equations, in: M. Giesbrecht (Ed.), Proceedings ISSAC '94, Oxford, England, United Kingdom, July 20-22, ACM Press, New York, 1994, pp. 169-174.
5. S.A. Abramov, M. Petkovšek, Special power series solutions of linear differential equations, in: D. Stanton (Ed.), Proceedings FPSAC '96, Minneapolis, Minnesota, June 25-29, Univ. of Minnesota, 1996, pp. 1-8.
6. S.A. Abramov, E.V. Zima, Minimal completely factorable annihilators, in: W.W. Küchlin (Ed.), Proceedings. ISSAC '97, Maui, Hawaii, USA, July 21-23, ACM Press, New York, 1997 pp. 290-297.
7. M. Bronstein, Linear differential equations: breaking through the order 2 barrier, in: P.S. Wang (Ed.), Proceedings ISSAC '92, Berkeley CA, USA, July 27-29, ACM Press, New York, 1992, pp. 42-48.
8. M. Bronstein, M. Petkovšek, An introduction to pseudo-linear algebra, Theoret. Comput. Sci. 157 (1996) 3-33.
9. R.L. Graham, D.E. Knuth, O. Patashnik, Concrete Mathematics, Addison-Wesley, Reading, MA, 1989.
10. M. Petkovšek, Hypergeometric solutions of linear recurrences with polynomial coefficients, J. Symbolic Comput. 14 (1992) 243-264.
11. M. Petkovšek, B. Salvy, Finding all hypergeometric solutions of linear differential equations, in: M. Bronstein (Ed.), Proceedings ISSAC '93, Kiev, Ukraine, July 6-8, ACM Press, New York, 1993, pp. 27-33.