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Infinite products - andydude - 04/06/2009

I just remembered a method I tried like 5 years ago, but haven't visited in a while.

Now that we have better power series expansions of tetration, for example, at we have
and using the definition, we can rewrite this as
where

I wonder if this simplifies the coefficients or just makes things more complicated?

Andrew Robbins


RE: Infinite products - tommy1729 - 04/06/2009

andydude Wrote:I just remembered a method I tried like 5 years ago, but haven't visited in a while.

Now that we have better power series expansions of tetration, for example, at we have
and using the definition, we can rewrite this as
where

I wonder if this simplifies the coefficients or just makes things more complicated?

Andrew Robbins

that could have been my own post Smile

i wondered about it too.


RE: Infinite products - bo198214 - 04/06/2009

andydude Wrote:
where

I wonder if this simplifies the coefficients or just makes things more complicated?

To calculate the coefficients you either need on both sides a product or on both sides a sum. So I dont see how the product representation can be useful.