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A hard Series problem.
*To*: mathgroup at smc.vnet.net
*Subject*: [mg13705] A hard Series problem.
*From*: "Ersek, Ted R" <ErsekTR at navair.navy.mil>
*Date*: Wed, 19 Aug 1998 01:38:02 -0400
*Sender*: owner-wri-mathgroup at wolfram.com
Using the Limit package I was able to find the first several terms in a
Laurent series of Log[(1-Erf[x]) x Sqrt[x]]. The terms I was able to
find are shown below.
Log[(1-Erf[x])x Sqrt[Pi]]=
-x^2+(1/2)x^(-2)-(5/8)x^(-4)+(37/24)x^(-6)+(353/64)x^(-8)- ....
The above uses Mathematica's definition of Erf, which is:
Erf[x]=2/Sqrt[Pi] Integrate[Exp[-t^2],{t,0,x}]
I ran into a brick wall when I tried to find other terms.
I couldn't get the expression above using Series, but I was able to find
the terms one at a time by using Limit.
Any other ideas on how to determine the terms of the series?
Can anyone find some more terms of the series? A general expression for
the nth term of the series would be fabulous.
Ted Ersek
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