'strange' simplification problems - why?

*To*: mathgroup at smc.vnet.net*Subject*: [mg22973] 'strange' simplification problems - why?*From*: lobozc at my-deja.com*Date*: Sat, 8 Apr 2000 14:44:43 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

> Product[lmb(M-i)/(mu(i+1)),{i,0,k-1}] produces > ((-1)^k*lmb^k*(mu^(-1))^k Pochhammer[-M, k])/k! there are two things wrong with that for me: a) lmb^k*(mu^(-1))^k is just a longwinded way of saying (lmb/mu)^k - and I get the long form also after FullSimplify. What am I doing wrong here? how could I get that to the simpler form? [short of replacing it by hand] b) more difficult: the 'real' answer to the original problem is (lmb/mu)^k Binomial[M, k] - which is preferable as it avoids the Gamma function. How can I coach Mathematica to deliver answers in Binomial coefficients rather than in Gammas? Sent via Deja.com http://www.deja.com/ Before you buy.