Polynomials are a special case of ordinary generating functions, corresponding to finite sequences, or equivalently sequences that vanish after a certain point. These are important in that many finite sequences can usefully be interpreted as generating functions, such as the Poincaré polynomial and others.
polynomials are a special case of ordinary generating functions corresponding to finite sequences or equivalently sequences that vanish after a certain point these are important in that many finite sequences can usefully be interpreted as generating functions such as the poincaré polynomial and others