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gremlin · Posted: Mon, 30 Oct 2006 01:19:10 UTC Post subject: Complex Taylor Expansion

As part of a larger problem, I'm suppose to find the taylor expansion about z=-1 for

but does this have a taylor expansion about z=-1? How do I deal with the fact that I can't evaluate the derivative at z=-1 for any of the derivatives?

Thanks,
Gremlin

Kungsman · Posted: Mon, 30 Oct 2006 09:06:48 UTC Post subject: Re: Complex Taylor Expansion

gremlin · Posted: Mon, 30 Oct 2006 12:28:20 UTC Post subject:

Okay, that's what I thought (and that's the series I got too)...

Thanks!
Gremlin

aboo · S.O.S. Oldtimer Joined: 14 Dec 2004 Posts: 281

And a "Taylor series including negative powers" is more commonly known as a Laurent expansion.

gremlin · Posted: Mon, 30 Oct 2006 17:23:43 UTC Post subject:

Yeah, I got three laurent expansions. Then it turned out the prof wrote the question wrong. There was a taylor expansion with the new question....

Thanks,
Gremlin

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