Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
the extent of generalization
#11
The matrix, analytically constructed based on the hypothese, that the eigenvalues are the consecutive powers of u = log(t)




(the second column are the interesting ones, they serve as coefficients for the powerseries in x for the expression {I,x}^^I ), and if x=1 they simply must be summed )



And the partial-sums of the second column should converge to y=I, since this means y = {I,1}^^I, :



This is also good for integer powers of this matrix; but again, for fractional or even complex powers the obtainable results for this parameters with that number of terms (24(last document) or 32) are not convincing.

Gottfried
Gottfried Helms, Kassel
Reply
#12
Wow, thanks everyone! --- just give me a second to digest it all...
Reply


Possibly Related Threads...
Thread Author Replies Views Last Post
  Superroots and a generalization for the Lambert-W Gottfried 22 15,725 12/30/2015, 09:49 AM
Last Post: andydude



Users browsing this thread: 1 Guest(s)