Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp error bounds for turning point expansions   Computable and sharp error bounds are derived for asymptotic expansions for
linear differential equations having a simple turning point. The expansions
involve Airy functions and slowly varying coefficient functions. The sharpness
of the bounds is illustrated numerically with an application to Bessel
functions of large order.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg