The Annals of Probability · 1984 · 43 citations · 5 references
Spectral TheoryStable DensitiesTh DerivativeEngineeringGeneralized FunctionNormal DistributionOrthogonal PolynomialIntegrable ProbabilityProbability TheoryStochastic GeometryFunctional Analysis
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.
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