131 citations · 188 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2011★ 54 cited
Levy stable two-sided distributions: exact and explicit densities for asymmetric case
K. Gorska, K. A. Penson
We study the one-dimensional Levy stable density distributions g(alpha, beta; x) for -infty < x < infty, for rational values of index alpha and the asymmetry parameter beta: alpha…
quant-ph2010★ 3 cited
Generation of coherent states of photon-added type via pathway of eigenfunctions
K. Gorska, K. A. Penson, G. H. E. Duchamp
We obtain and investigate the regular eigenfunctions of simple differential operators x^r d^{r+1}/dx^{r+1}, r=1, 2, ... with the eigenvalues equal to one. With the help of these ei…
cond-mat.stat-mech2010★ 131 cited
Exact and explicit probability densities for one-sided Levy stable distributions
K. A. Penson, K. Gorska
We study functions g_α(x) which are one-sided, heavy-tailed Levy stable probability distributions of index α, 0< α<1, of fundamental importance in random systems, for anomalous dif…