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Zur Asymptotik der konfluenten hypergeometrischen Funktionen. (German) Zbl 0058.05806

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[1] H.Buchholz, Die konfluente hypergeometrische Funktion. Berlin-Göttingen-Heidelberg 1953, S. 234. · Zbl 0050.07402
[2] Chieh-Chien Chang, Boa-Teh Chu andVivian O’Brien, An asymptotic expansion of the Whittaker functionW km (z). J. Rat. Mech. Analysis2, 125–133 (1953). · Zbl 0050.07502
[3] Bateman Manuscript Project’s Staff (A. Erdélyi, W. Magnus, F. Oberhettinger andF. Tricomi): Higher transcendental functions I (New York 1953) S. 279–281.
[4] O. Perron, Über das Verhalten einer ausgearteten hypergeometrischen Reihe bei unbegrenztem Wachstum eines Parameters. J. reine angew. Math.151, 63–78 (1921). · JFM 47.0330.03
[5] E. C. Taylor, A complete set of asymptotic formulae .... J. Math. Physics M. I. T.18, 34–49 (1939). · Zbl 0021.12304
[6] F. Tricomi, Sul comportamento asintotico dei polinomi di Laguerre. Ann. Mat. Pura Appl.28, 263–289 (1949). · Zbl 0039.29903
[7] F. Tricomi, Expansion of the hypergeometric function .... Commentarii Math. Helvet.25, 196–204 (1951). · Zbl 0054.03302
[8] F. Tricomi, A class of non-orthogonal polynomials related to those of Laguerre. J. Analyse Math. (Jérusalem)1, 209–231 (1951). · Zbl 0045.34501
[9] F. Tricomi, Sul comportamento asintotico dell’n-esimo polinomio di Laguerre nell’intorno dell’ ascissa 4n. Commentarii Math. Helvet.22, 150–167 (1949). · Zbl 0034.33902
[10] F. Tricomi, Un nuovo metodo di studio delle equazioni differenziali lineari. Rend. Seminario Mat. Torino8, 7–19 (1947/48).
[11] F.Tricomi, Equazioni differenziali. Torino 1953,2a Ed. § 29.
[12] F. Tricomi, Sugli zeri delle funzioni di cui si conosce una rappresentazione asintotica. Ann. Mat. Pura Appl.26, 283–300 (1947). · Zbl 0034.32402
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