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MathGroup Archive 2004

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Re: Expansion of an exponential expression

  • To: mathgroup at smc.vnet.net
  • Subject: [mg47259] Re: Expansion of an exponential expression
  • From: drbob at bigfoot.com (Bobby R. Treat)
  • Date: Thu, 1 Apr 2004 00:03:59 -0500 (EST)
  • References: <c4bdrj$6uu$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Log[((2 + Sqrt[1 + 2*h])^(-1))^(t/h)] // PowerExpand
-((t*Log[2 + Sqrt[1 + 2*h]])/h)

Series[%, {h, 0, 5}]
SeriesData[h, 0, 
  {-(t*Log[3]), -t/3, 
   (2*t)/9, (-19*t)/81, 
   (97*t)/324, (-2059*t)/
    4860, (11191*t)/17496}, 
  -1, 6, 1]

Bobby

carlos at colorado.edu (Carlos Felippa) wrote in message news:<c4bdrj$6uu$1 at smc.vnet.net>...
> As a result of some calculations I have
> (a snipet of a more complex expression)
> 
> anlog= Log[ ((2 + Sqrt[1 + 2*h])^(-1))^(t/h)   ]
> 
> I would like to simplify this to 
> 
> anlog= (t/h) Log[((2 + Sqrt[1 + 2*h])^(-1))   ]
> 
> so I can then take the Taylor series in h.
> But FullSimplify[anlog,h>0]  doesnt do it.
> Do i need a ComplexityFunction?


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