Exploring the q-Riemann zeta function and q-Bernoulli polynomials

We study that the q-Bernoulli polynomials, which were constructed by Kim, are analytic continued to βs(z). A new formula for the q-Riemann zeta function ζq(s) due to Kim in terms of nested series of ζq(n) is derived. The new concept of dynamics of the zeros of analytic continued polynomials is intr...

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Bibliographic Details
Main Authors: T. Kim, C. S. Ryoo, L. C. Jang, S. H. Rim
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/DDNS.2005.171
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