Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gamma Function via Interpolation   A new computational framework for evaluation of the gamma function
$\Gamma(z)$ over the complex plane is developed. The algorithm is based on
interpolation by rational functions, and generalizes the classical methods of
Lanczos \cite{Lanczos} and Spouge \cite{Spouge} (which we show are also
interpolatory). This framework utilizes the exact poles of the gamma function.
By relaxing this condition and allowing the poles to vary, a near-optimal
rational approximation is possible, which is demonstrated using the adaptive
Antoulous Anderson (AAA) algorithm, developed in \cite{AAA,AAA_2020}. The
resulting approximations are competitive with Stirling's formula in terms of
overall efficiency.

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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess