-Analogues of the Bernoulli and Genocchi Polynomials and the Srivastava-Pintér Addition Theorems

The main purpose of this paper is to introduce and investigate a new class of generalized Bernoulli and Genocchi polynomials based on the -integers. The -analogues of well-known formulas are derived. The -analogue of the Srivastava-Pintér addition theorem is obtained.