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- Title
A numerical computation of the roots of q-Bernoulli polynomials.
- Authors
Ryoo, C. S.
- Abstract
Recently several authors studied the q-extension of Bernoulli numbers and polynomials(see [1-6]). In this paper we construct the q-Bernoulli numbers Bn,q and polynomials Bn,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.
- Subjects
BERNOULLI polynomials; NUMERICAL analysis; ROOTS of equations; BERNOULLI numbers; COMPLEX numbers; INTEGRALS
- Publication
Journal of Computational Analysis & Applications, 2011, Vol 13, Issue 6, p1005
- ISSN
1521-1398
- Publication type
Article