Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the integration of products of Whittaker functions with respect to
  the second index   Several new formulas are developed that enable the evaluation of a family of
definite integrals containing the product of two Whittaker W-functions. The
integration is performed with respect to the second index, and the first index
is permitted to have any complex value, within certain restrictions required
for convergence. The method utilizes complex contour integration along with
various symmetry relations satisfied by the Whittaker functions. The new
results derived in this paper are complementary to the previously known
integrals of products of Whittaker functions, which generally treat integration
with respect to either the first index or the primary argument. A physical
application involving radiative transport is discussed.

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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con