An algorithm determining the difference Galois group of second order linear difference equations

Journal of Symbolic Computation

Volumn 26, Issue 4, 1998, Pages 445-461

  Hendriks, Peter A ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032184627     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1998.0223     Document Type: Article

References (8)

1. Batchelder, P. M. (1967). An Introduction to Linear Difference Equations. New York, Dover Publications.
2. Hendriks, P. A. (1996). Algebraic aspects of linear differential and difference equations, Thesis, Groningen, November.
3. Hendriks, P. A., van der Put, M. (1995). Galois action on solutions of differential equations. J. Symb. Comput., 14, 559-576.
4. Hendriks, P. A., Singer, M. F. (1998). Solving difference equations in tinite terms, Preprint.
5. Kovacic, J. J. (1986). An algorithm for solving second order linear differential equations. J. Symb. Comput., 2, 3-43.
6. Petkovsek, M. (1992). Hypergeometric solutions of linear recurrences with polynomial coefficients. J. Symb. Comput., 14, 243-264.
7. van der Put, M., Singer, M. F. (1997) Galois Theory of Difference Equations. LNM, 1666. Berlin, Springer.
8. Serre, J.-P. (1968). Corps Locaux. Paris, Hermann.