72 citations · 396 across the 74 of their papers we have counts for
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Products of Bessel functions and associated polynomials
G. Dattoli, E. Di Palma, E. Sabia +1
The symbolic method is used to get explicit formulae for the products or powers of Bessel functions and for the relevant integrals.
Photoluminescence decay of silicon nanocrystals and Lévy stable distributions
G. Dattoli, K. Gorska, A. Horzela +1
Recent experiments have shown that photoluminescence decay of silicon nanocrystals can be described by the stretched exponential function. We show here that the associated decay pr…
Bunching coefficients in Echo-Enabled Harmonic Generation
G. Dattoli, E. Sabia
Coulombian diffusion determines a dilution of bunching coefficients in Free Electron Laser seeded devices. From the mathematical point of view the effect can be modeled through a h…
The Higher-Order Heat-Type Equations via signed Lévy stable and generalized Airy functions
K. Gorska, A. Horzela, K. A. Penson +1
We study the higher-order heat-type equation with first time and M-th spatial partial derivatives, M = 2, 3, ... . We demonstrate that its exact solutions for M even can be constru…
The exponential parameterization of the quark mixing matrix
G. Dattoli, E. Di Palma
We comment on the exponential parameterization of the quark mixing matrix, by stressing that it naturally incorporates the Cabibbo structure and the hierarchical features of the Wo…