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A NOTE ON THE ZEROS OF THE q-BERNOULLI POLYNOMIALS

Ryoo, Cheon-Seoung (Department of Mathematics, Hannam University)

Publication Information

Journal of applied mathematics & informatics / v.28, no.3_4, 2010 , pp. 805-811 More about this Journal

Abstract

It is the aim of this paper to observe an interesting phenomenon of 'scattering' of the zeros of the q-Bernoulli polynomials $B_{n,q}(x)$ for -1 < q < 0 in complex plane. Observe that the structure of the zeros of the Genocchi polynomials $G_n(x)$ resembles the structure of the zeros of the q-Bernoulli polynomials $B_{n,q}(x)$ as q $\rightarrow$ -1.

Keywords

Numerical experiments; Bernoulli numbers; Bernoulli polynomials; q-Bernoulli numbers; q-Bernoulli polynomials; Genocchi numbers; Genocchi polynomials;

Citations & Related Records

Reference

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