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What is the convergence radius of this power series?
#2
I am really wondering whether one can something achieve with fractional differentiation with respect to tetration, sounds quite promising, however

(05/26/2011, 02:50 AM)JmsNxn Wrote: I decided to multiply the infinite series and I got:

Using Pari gp nothing seems to converge, but that may be fault to may coding.

this would mean that you can develop the logarithm at 0 into a powerseries, which is not possible.


I guess the problem in your derivations occurs after this line:
(05/26/2011, 02:50 AM)JmsNxn Wrote:

I assume this line is still convergent, however if you separate the difference into two sides you work with two divergent series.

Remember *only* if all (or at least two of the three) limits exists.
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Messages In This Thread
RE: What is the convergence radius of this power series? - by bo198214 - 05/27/2011, 09:00 AM

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