A numerical investigation of the structure of the roots ofq-Bernoulli polynomials

Over the years, there has been increasing interest in solving mathematical problems with the aid of computers. The main purpose of this paper is to investigate the roots of theq-Bernoulli polynomialsBn,q ^r (x) for values of the indexn by using computer. Finally, we consider the reflection symmetries of theq-Bernoulli polynomialsBn,q ^r (x).