01/19/2008, 09:32 AM
Quote:M.H. Hooshmand, August 2006, "Ultra power and ultra exponential functions", Integral Transforms and Special Functions, Vol. 17, No. 8, 549-558.
I recently found this reference in Wikipedia's Tetration article (which I moved to the talk page until it is clearly explained), but the full description of this extension was mainly contained in this article, both of which give the same reference. What bothers me is that these two pages describe this extension differently, and many of the uniqueness conditions are contradictory! Has anyone read this reference, and if so, then could they explain it in more detail? I would really like to know more about this extension, but unfortunately the Wikipedia article is lacking in clarity and completeness.
Andrew Robbins

