  The main purpose of this paper is to introduce and investigate a class of
$q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials. The $q$-analogues of
well-known formulas are derived. The $q$-analogue of the Srivastava--Pint\'er
addition theorem is obtained. Some new identities involving $q$-polynomials are
proved.
