D’Alembertian series solutions at ordinary points of LODE with polynomial coefficients

By definition, the coefficient sequence c = ( c n ) of a d’Alembertian series — Taylor’s or Laurent’s — satisfies a linear recurrence equation with coefficients in C ( n ) and the corresponding recurrence operator can be factored into first-order factors over C ( n ) (if this operator is of order 1,...

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Veröffentlicht in:	Journal of symbolic computation 2009, Vol.44 (1), p.48-59
Hauptverfasser:	Abramov, S.A., Barkatou, M.A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Closed form solutions D’Alembertian series Hypergeometric series Linear differential equations Linear recurrence equations
Online-Zugang:	Volltext
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