FUNCTION : qseries[qbin] - the q-binomial coefficient
(aka the Gaussian polynomial)
CALLING SEQUENCE : qbin(q,m,n);
PARAMETERS : q - variable
m,n - positive integers
SYNOPSIS :
When 0 < m < n then qbin(q,m,n) returns the Gaussian polynomial
= =
(q)
[ n ] n
[ ] = -----------
[ m ] (q) (q)
q m n-m
otherwise it returns 0.
EXAMPLES :
> qbin(q,3,6);
2 4 3 2 3 2
(q - q + 1) (q + q + q + q + 1) (q + q + q + 1)
> expand(%);
9 8 7 6 5 4 3 2
q + q + 2 q + 3 q + 3 q + 3 q + 3 q + 2 q + q + 1
SEE ALSO : aqprod