Cauchy integral also for b< e^(1/e)?
#6
Ansus Wrote:What about this equation?

\(
f(x)=\ln f(x)-\frac{1}{2\pi i}
\int_{-i\infty}^{+i\infty} \frac{f(z+x)}{z(z-1)}\, dz
\)

Can it be useful?

Looks damn good. Simpler than Dmitrii's default formula.
Reply


Messages In This Thread

Possibly Related Threads…
Thread Author Replies Views Last Post
Question Tetration using the integral Pentalogue 0 4,930 05/27/2025, 11:27 PM
Last Post: Pentalogue
  Where is the proof of a generalized integral for integer heights? Chenjesu 2 10,699 03/03/2019, 08:55 AM
Last Post: Chenjesu
  Kouznetsov-Tommy-Cauchy method tommy1729 0 6,348 02/18/2015, 07:05 PM
Last Post: tommy1729
  Problem with cauchy method ? tommy1729 0 6,359 02/16/2015, 01:51 AM
Last Post: tommy1729
  Could be tetration if this integral converges JmsNxn 41 151,669 05/13/2014, 01:58 PM
Last Post: JmsNxn
  [integral] How to integrate a fourier series ? tommy1729 1 9,259 05/04/2014, 03:19 PM
Last Post: tommy1729
  Some integral transforms related to tetration JmsNxn 0 6,774 05/02/2013, 07:54 PM
Last Post: JmsNxn
  (draft) integral idea tommy1729 0 7,521 06/25/2011, 10:17 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)