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Zur asymptotischen Integration von Differentialgleichungen. (German) Zbl 0026.40301

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[1] Liouville, sur le développement des functions. Journ. de math.2 (1837).
[2] J. Horn, Über lineare Differentialgleichungen mit einem willkürlichen Parameter. Math. Annalen52, S. 271-292; Über eine lineare Differentialgleichung zweiter Ordnung mit einem veränderlichen Parameter. Ebenda, S. 340-362. · JFM 30.0300.02
[3] G. D. Birkhoff, On the asymptotic character of the solutions of certain linear differential equations containing a parameter. Amer. Math. Soc. Trans.9 (1908) S. 219-231. · JFM 39.0386.01
[4] O. Blumenthal, Über asymptotische Lösungen. Arch. Math. Phys. III19 (1912), S. 136-174. · JFM 43.0548.02
[5] O. Perron, Über die Abhängigkeit der Integrale eines Systems linearer Differentialgleichungen von einem Parameter I, II, III. Sitz.-Ber. Akad. Wiss. Heidelberg 1918 und 1919.
[6] H. Jeffreys, On certain approximate solutions of linear differential equations of the second order. Proc. London Math. Soc. (2)23 (1925), S. 428-454. · JFM 50.0301.02
[7] S. Goldstein, A note on certain approximate solutions of linear differentia, equations of the second order. Proc. London Math. Soc. (2)28 (1928), S. 81-90. · JFM 54.0398.04
[8] R. E. Langer, On the asymptotic solutions of ordinary differential equations, with an application to Bessel functions of large order. Trans. Amer. Math. Soc.33 (1931), S. 23-64. · Zbl 0001.06003
[9] R. E. Langer, The boundary problem of an ordinary linear differential system in the complex domain. Trans. Amer. Math. Soc.46 (1939), S. 151-190. · Zbl 0022.34502
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