Does Sage have an implementation of Euler's summation formula (aka he Euler-Maclaurin formula)?
(I guess this is what Maple and Mathematica use by default when computing a numeric approximation of a finite sum defined in terms of a symbolic function.) If not, and if there interest, that's something I would be interested in developing. The first thing to check, of course, is if it is already there in some package. The only direct reference to it I found in the documentation is on the numerical computation of the gamma function, which says it uses the Euler-Maclaurin formula using PARI, but I don't know if it does it for a general function or just for this particular case. And, of course, there is euler_gamma (that is, the Euler constant for the function 1/x). -- "The main things which seem to me important on their own account, and not merely as means to other things, are knowledge, art, instinctive happiness, and relations of friendship or affection." -Bertrand Russell L. Felipe Martins Department of Mathematics Cleveland State University [email protected] --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
