Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some inequalities for the trigamma function in terms of the digamma
  function   In the paper, the authors establish three kinds of double inequalities for
the trigamma function in terms of the exponential function to powers of the
digamma function. These newly established inequalities extend some known
results. The method in the paper utilizes some facts from the asymptotic theory
and is a natural way to solve problems for approximating some quantities for
large values of the variable.

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin