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S. Bochner, Completely monotone functions of the Laplace operator for torus and sphere, Duke Math. J. vol. 3, 1937.P. Lévy, Théorie de l'addition des variables aléatoires, Gauthier-Willars (1937) pp. 94–97, 108–204. Compare alsoH. Pollard, The representation ofe −X λ as a Laplace integral, Bull. Amer. Math. Soc. vol. 52 (1946) pp. 908–910.
P. Humbert, Nouvelles correspondances symboliques, Bull. Soc. Math. France vol. 69 (1945) pp. 121–129.
H. Pollard-loc. cit..
P. Lévy loc. cit. Théorie de l'addition des variables aléatoires, Gauthier-Willars (1937) pp. 94–97, 198–204.
We can apply a test inE. W. Hobson, The theory of functions of a real variable II, Cambridge (1950) p. 306.
CompareW. Gröbner undN. Hofreiter, Integraltafel II, Springer-Verlag (1950) p. 67.
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Bergström, H. On some expansions of stable distribution functions. Ark. Mat. 2, 375–378 (1952). https://doi.org/10.1007/BF02591503
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DOI: https://doi.org/10.1007/BF02591503