Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform asymptotic behaviour of Jacobi-$\sn$ near a singular point. The
  Lost formula from handbooks for elliptic functions   In this work we construct uniform asymptotic expansion of $\sn(t|m)$ - Jacobi
when $m\to1-0$. The constructed expansion is valid over more than a half of
period. The turning point is included into the interval of validity for the
approximation. In addition we obtain the asymptotic formula for elliptic
integral of the first kind and discuss the differences with the same formula
from a handbook.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin