Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A NOTE ON THE ZEROS OF THE q-BERNOULLI POLYNOMIALS

  • Received : 2009.12.08
  • Accepted : 2010.02.27
  • Published : 2010.05.30
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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

Acknowledgement

Supported by : Hannam University

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