recognizing integer numbers
- To: mathgroup at smc.vnet.net
- Subject: [mg33924] recognizing integer numbers
- From: manuel_ballester at yahoo.com (manuel ballester)
- Date: Tue, 23 Apr 2002 07:13:50 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Dear All:
I need some help with the following. I am trying mathematica to solve
some sums for me. The thing is that I don't know how to tell
mathematica that certain numbers are non-negative integers and some
answers that I would expect as (for example) n! are given as
Gamma[n-1] and so on, sometimes Hypergeometric functions are also
involved. Example:
Sum[Binomial[2*m+1,k]*( a^k*b^(2*m+1-k)+ b^k*a^(2*m+1-k) ),{k,0,m}]
if m is a natural number then the answer to this is simply
(a+b)^(2*m+1)
but since I don't know how to say this to mathematica it gives me an
answer with gamma and hypergeometric functions. I already tried
Simplify and FullSimplify.
Thanks for your help
manuel