The connection between the proximate order of an entire characteristic function and the corresponding distribution function
Czechoslovak Mathematical Journal, Tome 27 (1977) no. 2, pp. 173-185
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DOI : 10.21136/CMJ.1977.101459
Classification : 30A66, 60E05
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Dewess, Monika; Riedel, M. The connection between the proximate order of an entire characteristic function and the corresponding distribution function. Czechoslovak Mathematical Journal, Tome 27 (1977) no. 2, pp. 173-185. doi: 10.21136/CMJ.1977.101459

[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

[2] В. J. Lewin: Nullstellenverteilung ganzer Funktionen. Berlin 1962.

[3] E. Lukacs: Characteristic functions. $2^{nd} edition, London 1970. | MR | Zbl

[4] В. Ramachandran: On the order and type of entire characteristic functions. Ann. math. Stat. 33, 1238-1255 (1962). | DOI | MR

[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

[6] G. Valiron: Fonction entières d'ordre fini et fonctions meromorphes. Monographies de L'Enseignement mathématique No. 8, Genf 1960. | MR

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