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}]