Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coordinate space calculation of two- and three-loop sunrise-type
  diagrams, elliptic functions and truncated Bessel integral identities   We integrate three-loop sunrise-type vacuum diagrams in $D_0=4$ dimensions
with four different masses using configuration space techniques. The finite
parts of our results are in numerical agreement with corresponding three-loop
calculations in momentum space. Using some of the closed form results of the
momentum space calculation we arrive at new integral identities involving
truncated integrals of products of Bessel functions. For the non-degenerate
finite two-loop sunrise-type vacuum diagram in $D_0=2$ dimensions we make use
of the known closed form $p$-space result to express the moment of a product of
three Bessel functions in terms of a sum of Claussen polylogarithms. Using
results for the nondegenerate two-loop sunrise diagram from the literature in
$D_0=2$ dimensions we obtain a Bessel function integral identity in terms of
elliptic functions.

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The categories of this paper are: math
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
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The categories of this paper are: nlin
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph