> In a recent thread Mike3 asked for a formula for the
> coefficients of the powerseries for the U-tetration-
> function. I looked again at this problem and made some
> graphs, which are intended to give an impression about
> some general characteristics of such powerseries.

> You may look at

> http://go.helms-net.de/math/tetdocs/CoefficientsUtFractionalHeight.htm

> for some graphs and a short discussion.

> Am 23.07.2008 13:48 schrieb Gottfried Helms:
>> In a recent thread Mike3 asked for a formula for the
>> coefficients of the powerseries for the U-tetration-
>> function. I looked again at this problem and made some
>> graphs, which are intended to give an impression about
>> some general characteristics of such powerseries.

>> You may look at

>> http://go.helms-net.de/math/tetdocs/CoefficientsUtFractionalHeight.htm

>> for some graphs and a short discussion.

> Updated.
> Also I just found a transformation of the powerseries,
> which -at least for the tested case base = exp(2) -
> made for all fractional heights -2<=h<=2 the coefficients
> converging sequences.

> This is a really good finding! (Hope it holds true
> for more bases...)

> Gottfried Helms