b^^y, b<1 and y<-2 to evaluate to the real number!??

b^^y, b<1 and y<-2 to evaluate to the real number!?? - Printable Version

+- Tetration Forum (https://tetrationforum.org)
+-- Forum: Tetration and Related Topics (https://tetrationforum.org/forumdisplay.php?fid=1)
+--- Forum: Mathematical and General Discussion (https://tetrationforum.org/forumdisplay.php?fid=3)
+--- Thread: b^^y, b<1 and y<-2 to evaluate to the real number!?? (/showthread.php?tid=430)

b^^y, b<1 and y<-2 to evaluate to the real number!?? - nuninho1980 - 03/22/2010

0.5^^(-4.3)~=4.03335... woww! Smile

but... is this result correct!?? (http://en.wikipedia.org/wiki/Tetration - you look with attention to "Polynomial approximations" -> "Examples: (...)")
if this number is correct then I ask if what is the better code of tetration (for mathematica, maple or other program math).

RE: b^^y, b<1 and y<-2 to evaluate to the real number!?? - bo198214 - 03/23/2010

(03/22/2010, 04:21 PM)nuninho1980 Wrote: 0.5^^(-4.3)~=4.03335... woww! but... is this result correct!?? (http://en.wikipedia.org/wiki/Tetration - you look with attention to "Polynomial approximations" -> "Examples: (...)")
if this number is correct then I ask if what is the better code of tetration (for mathematica, maple or other program math).

linear approximation and higher order approximation are not holomorphic.