[Maxima-bugs] [ maxima-Bugs-3005835 ] taylor

[SourceForge.net <no...@so...>]

Bugs item #3005835, was opened at 2010-05-23 01:16
Message generated for change (Comment added) made by 
You can respond by visiting: 
https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3005835&group_id=4933

Please note that this message will contain a full copy of the comment thread,
including the initial issue submission, for this request,
not just the latest update.
Category: Lisp Core - Taylor
Group: None
Status: Open
Resolution: None
Priority: 5
Private: No
Submitted By: bh ()
Assigned to: Nobody/Anonymous (nobody)
Summary: taylor

Initial Comment:
taylor(f(x+h),h,0,2);

gives

f(x)+(at('diff(f(x+h),h,1),h=0))*h+((at('diff(f(x+h),h,2),h=0))*h^2)/2+...

How do I reduce it to the expected result? ev(%,diff,nouns) does not help.

----------------------------------------------------------------------

>Comment By: bh ()
Date: 2010-05-23 15:50

Message:
Thanks. The pdiff package is nice. It would seem worthy enough to appear in
the manual!

----------------------------------------------------------------------

Comment By: Aleksas Domarkas (alex108)
Date: 2010-05-23 08:11

Message:
Some variants:

(%i1) load(pdiff)$
(%i2) taylor(f(x+h),x,0,3);
(%o2)/T/ f(h)+f[(1)](h)*x+(f[(2)](h)*x^2)/2+(f[(3)](h)*x^3)/6+...

or

(%i3) powerseries (f(x+h), x, 0);
(%o3) sum((x^i1*(at('diff(f(x+h),x,i1),x=0)))/i1!,i1,0,inf)
(%i4) niceindices (%);
(%o4) sum((x^i*(at('diff(f(x+h),x,i),x=0)))/i!,i,0,inf)

----------------------------------------------------------------------

You can respond by visiting: 
https://sourceforge.net/tracker/?func=detail&atid=104933&aid=3005835&group_id=4933