Stable distributions and the transforms of Stieltjes and Le Roy.

Aurel Wintner

Bollettino dell'Unione Matematica Italiana (1958)

  • Volume: 13, Issue: 1, page 24-33
  • ISSN: 0392-4041

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Wintner, Aurel. "Stable distributions and the transforms of Stieltjes and Le Roy.." Bollettino dell'Unione Matematica Italiana 13.1 (1958): 24-33. <http://eudml.org/doc/195746>.

@article{Wintner1958,
author = {Wintner, Aurel},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {integral equations, integral transforms},
language = {eng},
month = {3},
number = {1},
pages = {24-33},
publisher = {Zanichelli},
title = {Stable distributions and the transforms of Stieltjes and Le Roy.},
url = {http://eudml.org/doc/195746},
volume = {13},
year = {1958},
}

TY - JOUR
AU - Wintner, Aurel
TI - Stable distributions and the transforms of Stieltjes and Le Roy.
JO - Bollettino dell'Unione Matematica Italiana
DA - 1958/3//
PB - Zanichelli
VL - 13
IS - 1
SP - 24
EP - 33
LA - eng
KW - integral equations, integral transforms
UR - http://eudml.org/doc/195746
ER -

References

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  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. JFM47.0294.01
  2. BERNSTEIN, F., Über das Fourierintegral..., «Mathematische Annalen», vol. 79 (1920), pp, 265-268. MR1511926JFM46.0463.04
  3. BERNSTEIN, F., DOETSCH, G., «Die Integralgleichung der elliptischen Thetanullfunktion (III)». Göttinger Nachrichten, vol. 1922, pp. 32-52. JFM48.0442.01
  4. CAUCHY, A., Oeuvres complètes, ser. 1, vol. 12 (1900 [1853]). JFM57.1306.02
  5. HARDY, G. H., Divergent Series, Oxford, 1949. Zbl0032.05801MR30620
  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. MR1504839JFM51.0386.02
  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. Zbl0033.35902MR27375
  8. WINTNER, A., The singularities of Cauchy's distributions, «Duke Math. Journal», vol. 8 (1941), pp. 678-681. Zbl0063.08282MR5921

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