Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform asymptotics for the incomplete gamma functions starting from
  negative values of the parameters   We consider the asymptotic behavior of the incomplete gamma functions
gamma(-a,-z) and Gamma(-a,-z) as a goes to infinity. Uniform expansions are
needed to describe the transition area z~a in which case error functions are
used as main approximants. We use integral representations of the incomplete
gamma functions and derive a uniform equation by applying techniques used for
the existing uniform expansions for gamma(a,z) and Gamma(a,z). The result is
compared with Olver's uniform expansion for the generalized exponential
integral. A numerical verification of the expansion is given in a final
section.

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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc