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Dewess, Monika ; Riedel, M.
The connection between the proximate order of an entire characteristic function and the corresponding distribution function. (English). Czechoslovak Mathematical Journal, vol. 27 (1977), issue 2, pp. 173-185
MSC: 30A66, 60E05 | MR 0440654 | Zbl 0401.60013 | DOI: 10.21136/CMJ.1977.101459
References:
[1] M. Dewess: The tail behaviour of a distribution function and its connection to the growth of its entire characteristic function. to appear in Math. Nachr. MR 0471019
[2] В. J. Lewin: Nullstellenverteilung ganzer Funktionen. Berlin 1962.
[3] E. Lukacs: Characteristic functions. $2^{nd} edition, London 1970. MR 0346874 | Zbl 0201.20404
[4] В. Ramachandran: On the order and type of entire characteristic functions. Ann. math. Stat. 33, 1238-1255 (1962). DOI 10.1214/aoms/1177704356 | MR 0141145
[5] H.-J. Rossberg: Der Zusammenhang zwischen einer ganzen charakteristischen Funktion einer verfeinerten Ordnung und ihrer Verteilungsfuntion. Czech. Math. J. 17 (92) (1967), 317-346. MR 0219112
[6] G. Valiron: Fonction entières d'ordre fini et fonctions meromorphes. Monographies de L'Enseignement mathématique No. 8, Genf 1960. MR 0109886
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