Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Summation of Series Involving Bessel Functions and Order Derivatives
  of Bessel Functions   In this note, we derive the closed-form expression for the summation of
series $\sum_{n=0}^{\infty}nJ_n(x)\partial J_n/\partial n$, which is found in
the calculation of entanglement entropy in 2-d bosonic free field, in terms of
$Y_0$, $J_0$ and an integral involving these two Bessel functions. Further, we
point out the integral can be expressed as a Meijer G function.

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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: q-alg