Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmically Complete Monotonicity of Certain Ratios Involving the
  $k$-Gamma Function   In this paper, we prove logarithmically complete monotonicity properties of
certain ratios of the $k$-gamma function. As a consequence, we deduce some
inequalities involving the $k$-gamma and $k$-trigamma functions.

21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph