Tetration Forum
tommy beta method - 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: tommy beta method (/showthread.php?tid=1372)



tommy beta method - tommy1729 - 12/09/2021

Consider the following (double) integral where h is a positive infinitesimal



This integral is intended as an analogue for erf(s) but which is suppose to go - C for Re(s) << -1 and + C for Re(s) >> 1 ( independant of the imaginary part ! ).

Where C is a (probably nonzero and positive ) real constant.

Assuming that indeed 0 < C we continue :
 


Now consider 



And finally we get lim n to +oo ;



I call it tommy beta method , hence "tb"

This ofcourse requires more research.

regards

tommy1729

Tom Marcel Raes