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Stuck solving recurrence formula

  • To: mathgroup at smc.vnet.net
  • Subject: [mg125905] Stuck solving recurrence formula
  • From: Jean <ebegreen at free.fr>
  • Date: Fri, 6 Apr 2012 05:59:07 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi there,

I am stuck with the following recurrence problem to solve in Mathematica. I have tried various ways and most recently RecurrenceTable[] but I have not been successful and I can't figure out why.
Any help would be vastly appreciated. I am open to a solution involving iterators and lists of course beyond RecurrenceTable.

Thanks in advance to the community.

RecurrenceTable[{alpha[n + 1, j] == 
   Sum[alpha[n, m]*Gamma[c*j - c*m + 1]/Gamma[j - m + 1], {m, n, 
     j - 1}], alpha[0, j] == Gamma[c*j + 1]/Gamma[j + 1]}, alpha, {n, 
  0, Nmax}, {j, n + 1, Nmax + 1}]



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