Stable distributions and the transforms of Stieltjes and Le Roy.
Wintner, Aurel
Bollettino dell'Unione Matematica Italiana, Tome 13 (1958), p. 24-33 / Harvested from Biblioteca Digitale Italiana di Matematica
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Publié le : 1958-03-01
@article{BUMI_1958_3_13_1_24_0,
     author = {Aurel Wintner},
     title = {Stable distributions and the transforms of Stieltjes and Le Roy.},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {13},
     year = {1958},
     pages = {24-33},
     zbl = {0081.10103},
     mrnumber = {96944},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_1958_3_13_1_24_0}
}

Wintner, Aurel. Stable distributions and the transforms of Stieltjes and Le Roy.. Bollettino dell'Unione Matematica Italiana, Tome 13 (1958) pp. 24-33. http://gdmltest.u-ga.fr/item/BUMI_1958_3_13_1_24_0/

[1] Bernstein, F., Die Übereinstimmung derjenigen beiden Summations-verfahren einer divergenten Reihe, welche von T. E. Stieltjes und E. Borel herrühren, «Jahresbericht der Deutschen Mathematiker-Vereinigung», vol. 28 (1919), pp. 50-63. | JFM 47.0294.01

[2] Bernstein, F., Über das Fourierintegral..., «Mathematische Annalen», vol. 79 (1920), pp, 265-268. | JFM 46.0463.04 | MR 1511926

[3] Bernstein, F., Doetsch, G., «Die Integralgleichung der elliptischen Thetanullfunktion (III)». Göttinger Nachrichten, vol. 1922, pp. 32-52. | JFM 48.0442.01

[4] Cauchy, A., Oeuvres complètes, ser. 1, vol. 12 (1900 [1853]). | JFM 57.1306.02

[5] Hardy, G. H., Divergent Series, Oxford, 1949. | MR 30620 | Zbl 0032.05801

[6] Lévy, P., Théorie des erreurs, la loi de Gauss et les lois exceptionnelles, «Bulletin de la Société Mathématique de France», vol. 52 (1924), pp. 49-85. | JFM 51.0386.02 | MR 1504839

[7] Pollard, H., The completely monotonic character of the Mittag-Leffler function Ex(-x), «Bulletin of the American Mathematical Society», vol. 54 (1948), pp. 1115-1116. | MR 27375 | Zbl 0033.35902

[8] Wintner, A., The singularities of Cauchy's distributions, «Duke Math. Journal», vol. 8 (1941), pp. 678-681. | MR 5921 | Zbl 0063.08282