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Computing the Gamma function using contour integrals and rational approximations
- Abstract:
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Some of the best methods for computing the gamma function are based on numerical evaluation of Hankel's contour integral. For example, Temme evaluates this integral based on steepest-decent contours by the trapezoid rule. Here we investigate a different approach to the integral: the application of the trapezoid rule on Talbot-type contours using optimal parameters recently derived by Weideman for computing inverse Laplace transforms. Relatedly, we also investigate quadrature formulas derived ...
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Bibliographic Details
- Publication date:
- 2005-12-05
- URN:
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uuid:24effc4c-d492-48f8-b910-96936ae946b5
- Local pid:
- oai:eprints.maths.ox.ac.uk:1126
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- Copyright date:
- 2005
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