Differential Equations of Order Two with One Singular Point

The goal of this paper is to describe the set of polynomials r∈C [ x ] such that the linear differential equationy′′=ry has Liouvillian solutions, whereC is an algebraically closed field of characteristic 0. It is known that the differential equation has Liouvillian solutions only if the degree of r...

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Veröffentlicht in:Journal of symbolic computation 1999-10, Vol.28 (4-5), p.495-520
1. Verfasser: Vidunas, Raimundas
Format: Artikel
Sprache:eng
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