Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generating Very-High-Precision Frobenius Series with Apriori Estimates
  of Coefficients   The Frobenius method can be used to compute solutions of ordinary linear
differential equations by generalized power series. Each series converges in a
circle which at least extends to the nearest singular point; hence
exponentially fast inside the circle. This makes this method well suited for
very-high-precision solutions of such equations. It is useful for this purpose
to have prior knowledge of the behaviour of the series. We show that the
magnitude of its coefficients can be apriori predicted to surprisingly high
accuracy, employing a Legendre transformation of the WKB approximated solutions
of the equation.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an