I would like to know what the result of the following sum is
$\displaystyle\sum_{v_1+v_2=v}\binom{u+v_1-1}{u-1}\binom{w+v_2-1}{w-1}$
where $u>0$, $v>0$, $w>0$.
Asked
Active
Viewed 27 times
0
-
1What have you tried? – Yuumita Mar 05 '23 at 01:32
-
see one of the answers to https://math.stackexchange.com/questions/1591041/combinatorial-identity-with-binomial-coefficients-abc-1-choose-c-sum?noredirect=1 – Mar 05 '23 at 01:44
-
I used some identities, but I had a mistake. Thank you for the information. – DADA SR Mar 06 '23 at 22:53