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• W2066852443 abstract "We study functions g_{alpha}(x) which are one-sided, heavy-tailed Levy stable probability distributions of index alpha, 0< alpha <1, of fundamental importance in random systems, for anomalous diffusion and fractional kinetics. We furnish exact and explicit expression for g_{alpha}(x), 0 leq x < infty, satisfying int_{0}^{infty} exp(-p x) g_{alpha}(x) dx = exp(-p^{alpha}), p>0, for all alpha = l/k < 1, with k and l positive integers. We reproduce all the known results given by kleq 4 and present many new exact solutions for k > 4, all expressed in terms of known functions. This will allow a 'fine-tuning' of alpha in order to adapt g_{alpha}(x) to a given experimental situation." @default.
• W2066852443 created "2016-06-24" @default.
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• W2066852443 date "2010-11-17" @default.
• W2066852443 modified "2023-10-01" @default.
• W2066852443 title "Exact and Explicit Probability Densities for One-Sided Lévy Stable Distributions" @default.
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• W2066852443 doi "https://doi.org/10.1103/physrevlett.105.210604" @default.
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