Andy wrote: << On Sun, Jun 8, 2008 at 5:05 PM, Dan Asimov <dasimov@earthlink.net> wrote: <<< Speaking of math software, can anyone tell me if there exists analytic continuation software? . . . . . . The software would also output a routine that will evaluate the function f_k inside the disk D_k. (Or a statement that the function cannot be continued along a(t), 0 <= t <= L.) . . . . . . and all this to a pre-specified level of numerical accuracy.
I don't think this is possible. In finite time the software can only evaluate your original function f at a finite number of points. And there are analytic functions that have exactly the given value at that finite number of points, but have any desired value at any other point.
Right you are! So please take my request for analytic continuation software as an ideal. Any approximation thereto would be of interest. --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele