Indicial rational functions of linear ordinary differential equations with polynomial coefficients
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 4, pp. 15-34

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The notion of indicial rational function is introduced for ordinary differential equations with polynomial coefficients and polynomial right-hand sides, and algorithms for its construction are proposed.
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S. A. Abramov; A. A. Ryabenko. Indicial rational functions of linear ordinary differential equations with polynomial coefficients. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 4, pp. 15-34. http://geodesic.mathdoc.fr/item/FPM_2008_14_4_a1/