Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Lanczos Approximation for the $\Gamma$-Function with Complex
  Coefficients   We examined the properties of the coefficients of the \cite{lanczos1964}
approximation of the $\Gamma$-function with complex values of the free
parameter together with the convergence properties of the approximation when
using these coefficients. We report that for fixed real parts of the free
parameter that using complex coefficients both increases the computational cost
of the Lanczos approximation while drecreasing the accuracy. We conclude that
in practical applications of numerical evaluation of the $\Gamma$-function only
coefficients generated with real values of the free parameter should be used.

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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an