[Maxima] Inverse Taylor series question

Tue May 16 12:07:25 CDT 2006

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Yes, I worked up some code.  Never got around to releasing it.  I did some
tests, but didn't test it extensively.  It's simple enough so that only
special cases should break it.

RRogers

-----Original Message-----
From: Kevin Ellwood [mailto:kellwood at ameritech.net] 
Sent: Tuesday, May 16, 2006 12:29 PM
To: maxima at math.utexas.edu
Subject: [Maxima] Inverse Taylor series question

Hi All

I have a function (it is called the Langevin function) as follows:

L(x) = coth(x) - 1/x

I would like to calculate the taylor series for the inverse function. Is
this possible to do with maxima?

Thanks
Kev

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<DIV><SPAN class=453420217-16052006><FONT face=Arial color=#0000ff size=2>Yes, I 
worked up some code.&nbsp; Never got around to releasing it.&nbsp; I did some 
tests, but didn't test it extensively.&nbsp; It's simple enough so that only 
special cases should break it.</FONT></SPAN></DIV>
<DIV><SPAN class=453420217-16052006><FONT face=Arial color=#0000ff 
size=2></FONT></SPAN>&nbsp;</DIV>
<DIV><SPAN class=453420217-16052006><FONT face=Arial color=#0000ff 
size=2>RRogers</FONT></SPAN></DIV>
<BLOCKQUOTE 
style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #0000ff 2px solid; MARGIN-RIGHT: 0px">
  <DIV></DIV>
  <DIV class=OutlookMessageHeader lang=en-us dir=ltr align=left><FONT 
  face=Tahoma size=2>-----Original Message-----<BR><B>From:</B> Kevin Ellwood 
  [mailto:kellwood at ameritech.net] <BR><B>Sent:</B> Tuesday, May 16, 2006 12:29 
  PM<BR><B>To:</B> maxima at math.utexas.edu<BR><B>Subject:</B> [Maxima] Inverse 
  Taylor series question<BR><BR></FONT></DIV>Hi All<BR><BR>I have a function (it 
  is called the Langevin function) as follows:<BR><BR>L(x) = coth(x) - 
  1/x<BR><BR>I would like to calculate the taylor series for the inverse 
  function. Is this possible to do with 
maxima?<BR><BR>Thanks<BR>Kev<BR><BR></BLOCKQUOTE></BODY></HTML>

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