Geodesic
A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 1003-1007

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A recurrence algorithm is described for solving infinite sets of linear ordinary differential equations with constant coefficients; it is based on expansion of the matrix Green's function in basis functions. Simple recurrence relations are obtained for the expansion coefficients. 
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     author = {I. M. Gaisinskii},
     title = {A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a26/}
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I. M. Gaisinskii. A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 4, pp. 1003-1007. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_4_a26/