• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Taylor series of i[x] Xorter Fellow Posts: 58 Threads: 19 Joined: Aug 2016 04/11/2017, 12:18 PM Hi, again! Maybe I have found something related to the Nth derivative of i[x] (I may or may not know how to get the derivative of a non-analytic function like y = 1 if x=rational otherwise -1). Really interesting. But first of all, I would like to check it myself. But I will need your help. Here is a produktum: $\prod_{k=0}^{N-1} k + {{1+(-1)^k} \over 2}$ I would like to interpolate this expression/function, but how? Any idea? (If I will be able to get the expansion of the Taylor series of i[x], then I promise I will share it with you.) Xorter Unizo « Next Oldest | Next Newest »

 Possibly Related Threads... Thread Author Replies Views Last Post Taylor series of cheta Xorter 13 1,783 08/28/2016, 08:52 PM Last Post: sheldonison Taylor polynomial. System of equations for the coefficients. marraco 17 5,320 08/23/2016, 11:25 AM Last Post: Gottfried Iteration series: Series of powertowers - "T- geometric series" Gottfried 10 9,235 02/04/2012, 05:02 AM Last Post: Kouznetsov Iteration series: Different fixpoints and iteration series (of an example polynomial) Gottfried 0 1,541 09/04/2011, 05:59 AM Last Post: Gottfried Does anyone have taylor series approximations for tetration and slog base e^(1/e)? JmsNxn 18 10,833 06/05/2011, 08:47 PM Last Post: sheldonison paradox, accurate taylor series half iterate of eta not analytic at e sheldonison 9 6,611 06/03/2011, 05:56 PM Last Post: bo198214 Something interesting about Taylor series Ztolk 3 3,714 06/29/2010, 06:32 AM Last Post: bo198214 Transseries, nest-series, and other exotic series representations for tetration mike3 26 15,664 12/15/2009, 01:00 PM Last Post: bo198214 Taylor-Dirichlet conversion andydude 1 1,556 11/20/2009, 10:22 AM Last Post: andydude Tetra-series Gottfried 29 15,319 11/03/2009, 05:04 AM Last Post: andydude

Users browsing this thread: 1 Guest(s)