• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 New tetration method based on continuum sum and exp-series mike3 Long Time Fellow Posts: 368 Threads: 44 Joined: Sep 2009 04/22/2010, 10:57 AM (This post was last modified: 04/22/2010, 10:58 AM by mike3.) (04/22/2010, 10:35 AM)bo198214 Wrote: (04/22/2010, 10:20 AM)mike3 Wrote: I'm not sure if this method is going to work. Take what happens when $n = 0$... Oh thats my fault! I was too sloppy with the case $n=0$ the correct formula is (I changed that in my original post too): $\sigma(z)=\lambda+\sum_{n=1}^{\infty}\sum_{k=-\infty}^{\infty} \sigma_{n,k} e^{(\kappa n + 2\pi i k) z}$ Ah! Now we can take the continuum sum! Though I'm still at a loss as to how we could use this one for computation. I posted a thread in the Computation forum to discuss the construction of the numerical algorithm. Perhaps it will be better than the periodic approximation approach (get more accuracy, do more bases, etc.). Want to discuss that there? Also, what about my question about the graph? Did you have any prior idea what the graph of tetration for a complex base would look like? « Next Oldest | Next Newest »

 Messages In This Thread New tetration method based on continuum sum and exp-series - by mike3 - 04/20/2010, 02:48 AM RE: New tetration method based on continuum sum and exp-series - by bo198214 - 04/20/2010, 10:40 AM RE: New tetration method based on continuum sum and exp-series - by mike3 - 04/20/2010, 09:10 PM RE: New tetration method based on continuum sum and exp-series - by mike3 - 04/22/2010, 10:20 AM RE: New tetration method based on continuum sum and exp-series - by bo198214 - 04/22/2010, 10:35 AM RE: New tetration method based on continuum sum and exp-series - by mike3 - 04/22/2010, 10:57 AM RE: New tetration method based on continuum sum and exp-series - by bo198214 - 04/22/2010, 12:25 PM RE: New tetration method based on continuum sum and exp-series - by mike3 - 04/22/2010, 08:52 PM RE: New tetration method based on continuum sum and exp-series - by tommy1729 - 04/22/2010, 09:36 PM RE: New tetration method based on continuum sum and exp-series - by mike3 - 04/30/2010, 04:36 AM RE: New tetration method based on continuum sum and exp-series - by andydude - 05/02/2010, 09:27 AM RE: New tetration method based on continuum sum and exp-series - by andydude - 05/02/2010, 09:58 AM RE: New tetration method based on continuum sum and exp-series - by tommy1729 - 04/20/2010, 03:26 PM RE: New tetration method based on continuum sum and exp-series - by tommy1729 - 04/20/2010, 07:45 PM RE: New tetration method based on continuum sum and exp-series - by tommy1729 - 04/20/2010, 08:12 PM

 Possibly Related Threads... Thread Author Replies Views Last Post Perhaps a new series for log^0.5(x) Gottfried 3 677 03/21/2020, 08:28 AM Last Post: Daniel My interpolation method [2020] tommy1729 1 295 02/20/2020, 08:40 PM Last Post: tommy1729 Kneser method question tommy1729 9 1,370 02/11/2020, 01:26 AM Last Post: sheldonison Half-iterates and periodic stuff , my mod method [2019] tommy1729 0 607 09/09/2019, 10:55 PM Last Post: tommy1729 Taylor series of i[x] Xorter 12 13,258 02/20/2018, 09:55 PM Last Post: Xorter An explicit series for the tetration of a complex height Vladimir Reshetnikov 13 13,580 01/14/2017, 09:09 PM Last Post: Vladimir Reshetnikov Complaining about MSE ; attitude against tetration and iteration series ! tommy1729 0 1,823 12/26/2016, 03:01 AM Last Post: tommy1729 2 fixpoints , 1 period --> method of iteration series tommy1729 0 1,876 12/21/2016, 01:27 PM Last Post: tommy1729 Taylor series of cheta Xorter 13 14,328 08/28/2016, 08:52 PM Last Post: sheldonison Tommy's matrix method for superlogarithm. tommy1729 0 1,874 05/07/2016, 12:28 PM Last Post: tommy1729

Users browsing this thread: 1 Guest(s)