• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Perhaps a new series for log^0.5(x) tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 02/17/2020, 10:51 PM This is a joke right ? If not remember that an infinite series of elementary functions is usually equal to a truncated finite sum of that series + the error term ... where the error term is usually also either very small or also elementary !!  This implies that already a finite amount of terms added is already a good approximation OR the special part is in the error term.  But when i see error terms smaller than log for the half-iterate of log , I get “ suspicious “. Hence forgive my rude reaction.  Ofcourse if the coefficients are nontrivial we might do better , but in that case we probably get some self-reference and things like “ fake-function theory “. Regards  Tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Perhaps a new series for log^0.5(x) - by Gottfried - 12/05/2019, 04:35 PM RE: Perhaps a new series for log^0.5(x) - by tommy1729 - 02/17/2020, 10:51 PM RE: Perhaps a new series for log^0.5(x) - by tommy1729 - 02/17/2020, 10:57 PM RE: Perhaps a new series for log^0.5(x) - by Daniel - 03/21/2020, 08:28 AM

 Possibly Related Threads... Thread Author Replies Views Last Post Taylor series of i[x] Xorter 12 12,612 02/20/2018, 09:55 PM Last Post: Xorter Taylor series of cheta Xorter 13 13,678 08/28/2016, 08:52 PM Last Post: sheldonison [integral] How to integrate a fourier series ? tommy1729 1 2,667 05/04/2014, 03:19 PM Last Post: tommy1729 Iteration series: Series of powertowers - "T- geometric series" Gottfried 10 17,337 02/04/2012, 05:02 AM Last Post: Kouznetsov Iteration series: Different fixpoints and iteration series (of an example polynomial) Gottfried 0 2,964 09/04/2011, 05:59 AM Last Post: Gottfried What is the convergence radius of this power series? JmsNxn 9 16,394 07/04/2011, 09:08 PM Last Post: JmsNxn An alternate power series representation for ln(x) JmsNxn 7 14,107 05/09/2011, 01:02 AM Last Post: JmsNxn weird series expansion tommy1729 2 4,472 07/05/2010, 07:59 PM Last Post: tommy1729 Something interesting about Taylor series Ztolk 3 6,699 06/29/2010, 06:32 AM Last Post: bo198214 Transseries, nest-series, and other exotic series representations for tetration mike3 26 31,783 12/15/2009, 01:00 PM Last Post: bo198214

Users browsing this thread: 1 Guest(s)