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2015 Continuum sum conjecture
#1
I noticed a possible pattern.



next



next

define :

then




Now it appears

The continuum sum up to z-1 of exp^[n](x) is given by

CS [ exp^[n](x) , z-1] = P_n(x) + F_n(x)

where F_n is 2pi i periodic and P_n is a polynomial of degree (at most) n.

I guess there is a simple reason for it.
Right ??

What if n is not an integer ? say n = 3/2 ?

Does that imply P_{3/2}(x) =< O( x^{3/2} ) ??

regards

tommy1729
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Messages In This Thread
2015 Continuum sum conjecture - by tommy1729 - 05/25/2015, 11:29 PM
RE: 2015 Continuum sum conjecture - by tommy1729 - 05/26/2015, 12:10 PM
RE: 2015 Continuum sum conjecture - by tommy1729 - 05/26/2015, 12:18 PM
RE: 2015 Continuum sum conjecture - by tommy1729 - 05/26/2015, 12:24 PM

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