Report icon

Report

Computing the Gamma function using contour integrals and rational approximations

Abstract:

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 ...

Expand abstract

Actions


Access Document


Files:

Authors


Thomas Schmelzer More by this author
Lloyd N. Trefethen More by this author
Publication date:
2005-12-05
URN:
uuid:24effc4c-d492-48f8-b910-96936ae946b5
Local pid:
oai:eprints.maths.ox.ac.uk:1126

Terms of use


Metrics



If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP