Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On free stable distributions   We investigate the analytical properties of free stable distributions and
discover many connections with the classical stable distributions. Our main
results include an explicit formula for the Mellin transform, series
representations for the characteristic function and for the density of the free
stable distribution; all of these explicit formulas exhibit close resemblance
to the corresponding expressions for classical stable distributions. As
applications of these results we obtain a new derivation of the duality law
obtained in [1] and a factorization of a classical stable random variable into
the independent (in the classical sense) product of a free stable random
variable and a power of Gamma(2) random variable.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an