Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Density arising from the Domain of Attraction between Sum and
  Supremum: the $\alpha$-Sun operator   We explore the analytic properties of the density function $
h(x;\gamma,\alpha) $, $ x \in (0,\infty) $, $ \gamma > 0 $, $ 0 < \alpha < 1 $
which arises from the domain of attraction problem for a statistic
interpolating between the supremum and sum of random variables. The parameter $
\alpha $ controls the interpolation between these two cases, while $ \gamma $
parametrises the type of extreme value distribution from which the underlying
random variables are drawn from. For $ \alpha = 0 $ the Fr\'echet density
applies, whereas for $ \alpha = 1 $ we identify a particular Fox H-function,
which are a natural extension of hypergeometric functions into the realm of
fractional calculus. In contrast for intermediate $ \alpha $ an entirely new
function appears, which is not one of the extensions to the hypergeometric
function considered to date. We derive series, integral and continued fraction
representations of this latter function.

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys