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Mathematical Jokes
#14
(11/07/2009, 07:06 AM)andydude Wrote:
(11/05/2009, 03:48 PM)Gottfried Wrote: > >"A zero of order zero is a regular point at which the
> >function is not zero."
Is that the same as a pole of order zero? Hahaha

It is kinda opposite. You get the order of a zero at a by dividing by (z-a)^m.
It is the maximum m such that f(z)/(z-a)^m is still holomorphic at a.
In the powerseries development it is the index of the first non-zero term,
e.g. f(z) = f_m (z-a)^m + f_{m+1)(z-a)^{m+1} + ....
So f(z)/(z-a)^m can not be 0 at a.
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Messages In This Thread
Mathematical Jokes - by bo198214 - 08/31/2007, 02:57 PM
RE: Mathematical Jokes - by quickfur - 02/22/2008, 12:41 AM
RE: Mathematical Jokes - by bo198214 - 02/22/2008, 06:40 PM
RE: Mathematical Jokes - by bo198214 - 02/24/2008, 11:53 AM
RE: Mathematical Jokes - by quickfur - 02/25/2008, 06:14 AM
RE: Mathematical Jokes - by bo198214 - 02/25/2008, 09:39 AM
RE: Mathematical Jokes - by Matt D - 11/18/2008, 10:03 PM
RE: Mathematical Jokes - by Gottfried - 10/29/2009, 03:08 PM
RE: Mathematical Jokes - by bo198214 - 10/29/2009, 03:23 PM
RE: Mathematical Jokes - by Gottfried - 10/29/2009, 03:26 PM
RE: Mathematical Jokes - by Gottfried - 11/05/2009, 03:48 PM
RE: Mathematical Jokes - by andydude - 11/07/2009, 07:06 AM
RE: Mathematical Jokes - by bo198214 - 11/07/2009, 07:59 AM
RE: Mathematical Jokes - by carrythomas - 11/09/2009, 08:34 AM
RE: Mathematical Jokes - by bo198214 - 11/09/2009, 09:32 AM

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