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On the solution of the general inhomogeneous linear differential equation of second order using Lie series representation. (English) Zbl 0153.46302


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[1] W. Gröbner, ?Die Lie-Reihen und ihre Anwendungen?. Verlag der Wissenschaften, Berlin 1960. · Zbl 0141.08502
[2] W. Gröbner, ?A Compact Method of Solving the General Homogeneous Linear Differential Equation of Second Order Using Series?. NASA Scient. Rep. No. 3, Research Grant No. NGR-52-046-001.
[3] A. Schett andJ. Weil, ?On the Solution of the General Homogeneous Linear Differential Equation of Second Order Using Lie Series?, NASA Scient. Rep. No. 2, Research Grant No. NGR-52-046-001, to be published in Acta Physica Austriaca. · Zbl 0153.46302
[4] F. Reutter undH. Knapp, ?Untersuchungen über die numerische Behandlung von Anfangswertproblemen gewöhnlicher Differentialgleichungen mit Hilfe von Liereihen und Anwendungen auf Berechnungen von Mehrkörperproblemen?. Forschungsberichte des Landes Nordrhein-Westfalen 1327/Scientific Report of Nordrhein-Westfalen. · Zbl 0119.33204
[5] Meixner undSchäfke, ?Mathieu- und Sphäroidfunktionen?. Springer-Verlag, 1954.
[6] D. Floriani, ?The Computation of Mathieu Functions by Means of Lie Series?, NASA Scientific Report No. 5, Research Grant No. NGR-52-046-001.
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