Road testing Ansus' continuum product formula
#25
(09/22/2009, 05:27 AM)mike3 Wrote:
(09/22/2009, 01:02 AM)bo198214 Wrote: Not sure, what you mean. I thought this was the open question how to do the summation, its described there. Which sum equation do you mean?

The one for tetration that I mentioned at the beginning of this thread.

I thought by the same method you used in your last code (though I admit I didnt have a deeper look at it) with the summation method described by Gottfried, but now with this summation method, which is also by Norlund (perhaps it is even equal). Thatswhy I wonder why you inquire about it.

Quote:Technically, the continuous sum is not unique regardless of the growth rate, as you can always add a 1-periodic function to any continuous sum and get another function that satisfies the same functional equations.

Of course uniqueness by additional conditions. Thatswhy it is called "summation *problem*". Your objection and its resolution is all described on the given pages.
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Messages In This Thread
the summation problem, references - by bo198214 - 09/21/2009, 02:29 PM
RE: the summation problem, references - by mike3 - 09/21/2009, 08:06 PM
RE: the summation problem, references - by mike3 - 09/22/2009, 05:27 AM
RE: the summation problem, references - by mike3 - 09/22/2009, 05:30 AM
RE: the summation problem, references - by bo198214 - 09/22/2009, 07:39 AM

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