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Hyperzeta function

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Hyperzeta function
tommy1729 Offline
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#7
03/16/2013, 12:18 AM
(03/15/2013, 09:42 AM)Balarka Sen Wrote:
tommy1729 Wrote:Why is this function special ? It looks nice but Im not sure about having properties ...

The most interesting behavior I found is that the H(z) = H(z*)* where '*' denotes the conjugate.

However I can't ensure any of these unless I get a good, well-formed analytic continuation.

The conjugate thing is just as i would expect. It holds for each term and hence also for its sum.

I repeat ; im not sure if this function is analytic.

regards

tommy1729
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Messages In This Thread
Hyperzeta function - by Balarka Sen - 03/11/2013, 11:38 AM
RE: Hyperzeta function - by Gottfried - 03/11/2013, 03:16 PM
RE: Hyperzeta function - by Balarka Sen - 03/11/2013, 06:32 PM
RE: Hyperzeta function - by Balarka Sen - 03/12/2013, 07:41 PM
RE: Hyperzeta function - by tommy1729 - 03/12/2013, 11:57 PM
RE: Hyperzeta function - by Balarka Sen - 03/15/2013, 09:42 AM
RE: Hyperzeta function - by tommy1729 - 03/16/2013, 12:18 AM
RE: Hyperzeta function - by Balarka Sen - 05/08/2013, 01:36 PM

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