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Re: series expansion of polys with real exponents


  • To: mathgroup@smc.vnet.net
  • Subject: [mg11721] Re: series expansion of polys with real exponents
  • From: jtischer@pitagoras.univalle.edu.co
  • Date: Thu, 26 Mar 1998 03:08:50 -0500
  • Organization: Deja News - The Leader in Internet Discussion
  • References: <6esp6s$699@smc.vnet.net> <6f1oa1$fdv@smc.vnet.net>

In article <6f1oa1$fdv@smc.vnet.net>,
  Allan Hayes <hay@haystack.demon.co.uk> wrote:
>
> Hafeez Abdulrauf wrote:
> >
> > Hi,
> >
> > I would like to find the series expansion of an expression like
> >
> > 2 D / (2 -D^0.2 -D^1.8)
> >
> > in positive (real) powers of D. As the expression has real exponents on
> > D, it's not really a polynomial and none of the polynomial functions
> > work here. Is there any way to work it out?
> >
> > Regards,
> > Rauf
>
> Example:
>
> Series[2 D / (2 -D^0.2 -D^1.8),{D,p,3}] --
> Allan Hayes
> Mathematica Training and Consulting
> Leicester, UK
> hay@haystack.demon.co.uk
> http://www.haystack.demon.co.uk
> voice: +44 (0)116 271 4198
> fax: +44 (0)116 271 8642
>
>

I disagree with your example, Allan. Try the same with Log instead of
the function of Rauf and you will see, it doesn't work. (Rauf wants it
with positive powers in D, so he wants to develop in zero.) I think,
sometimes it's worth to look up in a standard math book, on complex
variables in this case.

Jurgen

Jurgen Tischer
Departamento de Matematicas
Universidad del Valle
Cali
Colombia

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