Hi folks -
the counterexample of G.A.Edgar to my "tetra-series"-conjecture made me rethink and investigate the Bell-matrix to some extreme. I think, I have an idea how to improve this object for the use of its inverse, and in this special case, for its use in infinite series (as done in my Tetra-conjecture).
See the attached article as discussion, somehow brainstorming; although my feeling is, that this way of consideration might be fruitful, when settled with more care and depth. The article evolved out of the manuscript for my more general "tetration by matrix-method" in work, so the introductory remarks may be felt a bit inappropriate here, but...
See: [update3] an updated version is available[/update3]
Update
I'm also removing the attachment due to many updates. I'll reattach, if my textversion becomes stable[/update]
Gottfried
the counterexample of G.A.Edgar to my "tetra-series"-conjecture made me rethink and investigate the Bell-matrix to some extreme. I think, I have an idea how to improve this object for the use of its inverse, and in this special case, for its use in infinite series (as done in my Tetra-conjecture).
See the attached article as discussion, somehow brainstorming; although my feeling is, that this way of consideration might be fruitful, when settled with more care and depth. The article evolved out of the manuscript for my more general "tetration by matrix-method" in work, so the introductory remarks may be felt a bit inappropriate here, but...
See: [update3] an updated version is available[/update3]
Update
I'm also removing the attachment due to many updates. I'll reattach, if my textversion becomes stable[/update]
Gottfried
Gottfried Helms, Kassel