A Note on the ( â„Ž, ð ‘ž ) -Extension of Bernoulli Numbers and Bernoulli Polynomials

C. S. Ryoo and T. Kim

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-11

Abstract:

We observe the behavior of roots of the ( â„Ž , ð ‘ž )-extension of Bernoulli polynomials ð µ ( â„Ž ) ð ‘› , ð ‘ž ( ð ‘¥ ) . By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q -extension of Bernoulli polynomials ð µ ( â„Ž ) ð ‘› , ð ‘ž ( ð ‘¥ ) . The main purpose of this paper is also to investigate the zeros of the ( â„Ž , ð ‘ž )-extension of Bernoulli polynomials ð µ ( â„Ž ) ð ‘› , ð ‘ž ( ð ‘¥ ) . Furthermore, we give a table for the zeros of the ( â„Ž , ð ‘ž )-extension of Bernoulli polynomials ð µ ( â„Ž ) ð ‘› , ð ‘ž ( ð ‘¥ ) .

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:807176

DOI: 10.1155/2010/807176

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