A numerical investigation of the roots of q-polynomials

In this paper we explore the shapes of the q-numbers K n, q and the q-polynomials K n, q (x). Finally, we describe the structure of the roots of the q-polynomials K n, q (x) for values of the index n using a computer.

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Bibliographic Details
Published in:International journal of computer mathematics 2006-02, Vol.83 (2), p.223-234
Main Authors: Ryoo, C. S., Kim, T., Agarwal, R. P.
Format: Article
Language:English
Subjects:
Non-Archimedean analysis
p-adic valued Bernoulli distribution
q-Bernoulli numbers
q-Bernoulli polynomial
q-Volkenborn integration
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Description
Summary:In this paper we explore the shapes of the q-numbers K n, q and the q-polynomials K n, q (x). Finally, we describe the structure of the roots of the q-polynomials K n, q (x) for values of the index n using a computer.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160600654811