Publication Date:
2005-01-01
Description:
We study that theq-Bernoulli polynomials, which were constructed by Kim, are analytic continued toβs(z). A new formula for theq-Riemann zeta functionζq(s)due to Kim in terms of nested series ofζq(n)is derived. The new concept of dynamics of the zeros of analytic continued polynomials is introduced, and an interesting phenomenon of “scattering” of the zeros ofβs(z)is observed. Following the idea ofq-zeta function due to Kim, we are going to use “Mathematica” to explore a formula forζq(n).
Print ISSN:
1026-0226
Electronic ISSN:
1607-887X
Topics:
Mathematics
Permalink