Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit formulas for computing Bernoulli numbers of the second kind and
  Stirling numbers of the first kind   In the paper, by establishing a new and explicit formula for computing the
$n$-th derivative of the reciprocal of the logarithmic function, the author
presents new and explicit formulas for calculating Bernoulli numbers of the
second kind and Stirling numbers of the first kind. As consequences of these
formulas, a recursion for Stirling numbers of the first kind and a new
representation of the reciprocal of the factorial $n!$ are derived. Finally,
the author finds several identities and integral representations relating to
Stirling numbers of the first kind.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: stat