On the Bell-Shape of Stable Densities
Gawronski, Wolfgang
Ann. Probab., Tome 12 (1984) no. 4, p. 230-242 / Harvested from Project Euclid
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The central result of this paper consists in proving that all stable densities are bell-shaped (i.e. its $k$th derivative has exactly $k$ zeros and they are simple) thereby generalizing the well-known property of the normal distribution and the associated Hermite polynomials.
Publié le : 1984-02-14
Classification:  Stable densities,  zeros of Fourier integrals,  bell-shaped kernels,  60E07,  60E10,  42A38,  30C15 
@article{1176993386,
     author = {Gawronski, Wolfgang},
     title = {On the Bell-Shape of Stable Densities},
     journal = {Ann. Probab.},
     volume = {12},
     number = {4},
     year = {1984},
     pages = { 230-242},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176993386}
}

Gawronski, Wolfgang. On the Bell-Shape of Stable Densities. Ann. Probab., Tome 12 (1984) no. 4, pp.  230-242. http://gdmltest.u-ga.fr/item/1176993386/