131 citations · 571 across the 40 of their papers we have counts for
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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…
Squeezed States and Hermite polynomials in a Complex Variable
S. T. Ali, K. Gorska, A. Horzela +1
Following the lines of the recent paper of J.-P. Gazeau and F. H. Szafraniec [J. Phys. A: Math. Theor. 44, 495201 (2011)], we construct here three types of coherent states, related…
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…
Multidimensional Catalan and related numbers as Hausdorff moments
K. Gorska, K. A. Penson
We study integral representation of so-called -dimensional Catalan numbers , defined by , , .…
Lacunary Generating Functions for the Laguerre Polynomials
D. Babusci, G. Dattoli, K. Gorska +1
Symbolic methods of umbral nature play an important and increasing role in the theory of special functions and in related fields like combinatorics. We discuss an application of th…