Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Converting a series in \lambda to a series in \lambda^{-1}   We introduce a transformation for converting a series in a parameter,
\lambda, to a series in the inverse of the parameter \lambda^{-1}. By applying
the transform on simple examples, it becomes apparent that there exist
relations between convergent and divergent series, and also between large- and
small-coupling expansions. The method is also applied to the divergent series
expansion of Euler-Heisenberg-Schwinger result for the one-loop effective
action for constant background magnetic (or electric) field. The transform may
help us gain some insight about the nature of both divergent (Borel or
non-Borel summable series) and convergent series and their relationship, and
how both could be used for analytical and numerical calculations.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an