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