
- 1.A. Abramov, M. Bronstein, M. Petkov~ek On polynomial solutions of linear operator equations. Proceedings ISSAC 95, ACM Press, 290-296. Google Scholar
Digital Library
- 2.B. Beckermann, G. Labahn, A uniform approach for Hermite Padd and simultaneous Padd Approximants and their Matrix-type generalizations, Numerical Algorithms, 3 (1992), pp. 45-54Google Scholar
Cross Ref
- 3.B. Beckermann, G. Labahn, A uniform approach for the fast computation of Matrix-type Padg approximants, SIAM J. Matrix Analysis and Applications (1994), 804- 823. Google Scholar
Digital Library
- 4.E. Beke Die Irreduzibilitiit der homogenen linearen JDifferentialgleichungen, Math. Ann. 45, (1894), 278- 294.Google Scholar
Cross Ref
- 5.M. Bronstein Linear Ordinary Differential Equations: breaking through the order two barrier. Proceedings IS- SAC 92, ACM Press, 42-48. Google Scholar
Digital Library
- 6.H. Derksen An algorithm to compute generalized Padd-Hermite forms Manuscript. Available by ftp at daisy.math, unibas, ch in /pub/hderksen/pade. dviGoogle Scholar
- 7.P. Hendriks, M. v.d. Put Galois ac%ion on solutions of a differential equation, Preprint, to appear in J. Symb. Comput. Google Scholar
Digital Library
- 8.M. van Hoeij, Formal Solutions and Factorization of Differential Operators with Power Series Coefficients, University of Nijmegen Report hr. 9528, submitted to J. Symb. Comput, available at http ://www-math. sci. kun. nl/math/c ompalg/diff op/ Google Scholar
Digital Library
- 9.M. van Hoeij, Factorization of Differential Operators with Rational Functions Coe}ficients, University of Nijmegen Report hr. 9552, submitted to J. Symb. Comput, available at http : //www-math. sci. kun. nl/math/compalg/diff op/ Google Scholar
Digital Library
- 10.A. Loewy, (rber vollstiindig reduzible lineare homogene Differentialgleichungen, Math. Ann., 62, (1906), 89- 117.Google Scholar
Cross Ref
- 11.O. Ore, Formale Theorie der linearen Differentialgleichungen (Zweiter Tell), J. ffir d. Reine u. angew. Math., 168, (1932), 233-252.Google Scholar
- 12.O. Ore, Theory of non-commutative polynomial rings, Ann. of Math. 34 pp. 480-508 (1933)Google Scholar
Cross Ref
- 13.F. Schwarz A factorization Algorithm for Linear Ordinary Differential Equations. Proceedings of ISSAC 89, ACM Press, 17-25. Google Scholar
Digital Library
- 14.M.F. Singer, Testing Reducibility of Linear Differential Operators: A Group Theoretic Perspective, To appear in J. of Appl. Alg. in Eng. Comm. and Comp.Google Scholar
- 15.S.P. Tsarev, On the problem of factorization of linear ordinary differential operators, Programming & computer software, 1994, v. 20, 1~ p. 27"-29.Google Scholar
- 16.J.A. Weil, Constantes et polyn6mes de Darboux en alg~bre diffdrentieUe : application aux syst~mes diffdrentiels lindaires, PhD dissertation, t~cole Polytechnique, 1995.Google Scholar
Index Terms
Rational solutions of the mixed differential equation and its application to factorization of differential operators
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