Numerical calculation of incomplete gamma functions by the trapezoidal rule

@article{Allasia1986NumericalCO,
  title={Numerical calculation of incomplete gamma functions by the trapezoidal rule},
  author={G. Allasia and R. Besenghi},
  journal={Numerische Mathematik},
  year={1986},
  volume={50},
  pages={419-428}
}
SummaryThe trapezoidal rule is applied to the numerical calculation of a known integral representation of the complementary incomplete gamma function Г (a,x) in the regiona<−1 andx>0. Since this application of the rule is not standard, a careful investigation of the remainder terms using the Euler-Maclaurin formula is carried out. The outcome is a simple numerical procedure for obtaining values of incomplete gamma functions with surprising accuracy in the stated region. 

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