The form in 1-1 is WZ F:= (-1)^k/(1-q^(k+1))/qbin(n+k+1,k+1)*(q)_n/(q^2)_n G:= (-1)^k/(1-q^(k+1))/qbin(n+k+1,k+1)*(q)_n/(q^2)_n*q^(n+1)/(1+q^(n+1)) It suffices to verify that NF - F = KG - G or, equivalently: NF/F - 1 -KG/F + G/F = (n + 1) (k + 1) (n + 1) 1 - q (1 - q ) q --------------------------------- - 1 + --------------------------------- (n + 1) (n + k + 2) (n + k + 2) (n + 1) (1 + q ) (1 - q ) (1 - q ) (1 + q ) (n + 1) q + ------------ = 0 (n + 1) 1 + q This took .283 Seconds of CPU time