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}]