07/31/2009, 11:09 PM
Well, hey! Welcome back!!
Some of us are writing an overview paper of the 5 or more methods we have discovered/developed for real analytic tetration. You might want to see where your cheta function would fit into such a paper. I think it would be a welcome addition (if it is possibly real analytic). Also, I was poised to write the "intuitive" section; a while back Henryk and I decided that "natural tetration" is too easily confused with "base-e tetration", so we use the term "intuitive" now to refer to the method using the Abel matrix (which I think also includes solving with pure power series and the log(z)/log© + powerseries method you discovered). I think both of these would be considered part of "intuitive tetration", and as such should be in that section of the paper.
Glad to hear your interest has been rekindled!
Andrew Robbins
Some of us are writing an overview paper of the 5 or more methods we have discovered/developed for real analytic tetration. You might want to see where your cheta function would fit into such a paper. I think it would be a welcome addition (if it is possibly real analytic). Also, I was poised to write the "intuitive" section; a while back Henryk and I decided that "natural tetration" is too easily confused with "base-e tetration", so we use the term "intuitive" now to refer to the method using the Abel matrix (which I think also includes solving with pure power series and the log(z)/log© + powerseries method you discovered). I think both of these would be considered part of "intuitive tetration", and as such should be in that section of the paper.
Glad to hear your interest has been rekindled!
Andrew Robbins