A note on image-Bernoulli numbers and polynomials Original Research Article

In this paper we give the generating functions of qq-Bernoulli numbers and qq-Bernoulli polynomials. Next, we consider the qq-zeta function which interpolates the qq-Bernoulli numbers and qq-Bernoulli polynomials. Finally we investigate the roots of the qq-Bernoulli polynomials Bn,qr(x)Bn,qr(x) for values of the index nn by using a computer.