Defined by

(1) 
for integral , and

(2) 
Unfortunately, the Notation conflicts with that of Gaussian Brackets and the Nearest Integer Function. Gaussian
Polynomials satisfy the identities

(3) 

(4) 
For , the Gaussian polynomial turns into the Binomial Coefficient.
See also Binomial Coefficient, Gaussian Coefficient, qSeries
© 19969 Eric W. Weisstein
19990525