Geodesic
Stable densities
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 2, pp. 470-476

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This paper shows that a uniform expression is possible for stable densities (in all cases except $p=1$, $\gamma=0$, (see (1)) in terms of the incomplete hypergeometric function ${}_1G_0(\alpha,\beta,z)$ defined by (8).
Keywords: stable distributions and their densities, Mellin transform, incomplete hypergeometric functions. 
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     author = {J. Hoffman-J{\o}rgensen},
     title = {Stable densities},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {470--476},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1993_38_2_a17/}
}
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J. Hoffman-Jørgensen. Stable densities. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 2, pp. 470-476. http://geodesic.mathdoc.fr/item/TVP_1993_38_2_a17/