Tetration Forum
continuum sum again - Printable Version

+- Tetration Forum (https://math.eretrandre.org/tetrationforum)
+-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1)
+--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3)
+--- Thread: continuum sum again (/showthread.php?tid=582)

continuum sum again - tommy1729 - 02/10/2011

about the continuum sum again :

we already know how to get the continuum sum analogue of an integral of an entire function.

for non-entire functions i suggest that the continuum sum is the analogue of the cauchy principle value and by taking the usual continuum sum as analogue of the integral ;

we can have a continuum sum analogue of the Sokhatsky–Weierstrass theorem !

this advances continuum sum theory a step further i believe.

gotta run