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MathGroup Archive 2006

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series question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg70852] series question
  • From: "Paul" <paulbird at whsurf.net>
  • Date: Sat, 28 Oct 2006 23:39:48 -0400 (EDT)

Given the series transformation:

b_n  =  Sum[ (a_m)^n , m=0..infinity]

so for example it transforms a_n=n into b_n=zeta(n) and a_n=n^2+3 into
some other series.

Is there a reverse transformation that starting with the series b_n you
can get back to a_n ?


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