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MathGroup Archive 2007

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Re: extracting fractional powers of series expansion?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg78303] Re: extracting fractional powers of series expansion?
  • From: dimitris <dimmechan at yahoo.com>
  • Date: Thu, 28 Jun 2007 04:17:59 -0400 (EDT)
  • References: <f5qji2$5ut$1@smc.vnet.net>

Hello.

In[27]:=
o = InputForm[1/Sqrt[x^2 + x] + O[x, Infinity]^10]

Out[27]//InputForm=
SeriesData[x, Infinity, {1, -2^(-1), 3/8, -5/16, 35/128, -63/256,
231/1024, -429/2048, 6435/32768}, 1, 10, 1]

In[25]:=
({#1, SeriesCoefficient[o, #1]} & ) /@ Range[1, 9, 2]

Out[25]=
{{1, 1}, {3, 3/8}, {5, 35/128}, {7, 231/1024}, {9, 6435/32768}}

Dimitris
            Tanim Islam       :
> Hi:
>
> How do I extract a given fractional power term in a series expansion? For
> instance, I do a series expansion of a function about infinity. How do I
> extract the -1/2 power term with, say, SeriesCoefficient. I am using
> Mathematica 6.
>
> Tanim Islam



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