A numerical computation of the roots of q-Bernoulli polynomials
Recently several authors studied the q-extension of Bernoulli numbers and polynomials(see [1-6]). In this paper we construct the q-Bernoulli numbers B(n,q) and polynomials B(n,q)(x). We also observe the behavior of complex roots of q-Bernoulli polynomials, using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of q-Bernoulli polynomials. Finally, we give a table for the solutions of the q-Bernoulli polynomials.
q-bernoulli polynomials bernoulli numbers q-bernoulli numbers bernoulli polynomials p-adic q-integrals