A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials
We observe the behavior of roots of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). The main purpose of this paper is also to investi...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/807176 |
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| author | C. S. Ryoo T. Kim |
| author_facet | C. S. Ryoo T. Kim |
| author_sort | C. S. Ryoo |
| collection | DOAJ |
| description | We observe the behavior of roots of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). The main purpose of this paper is also to investigate
the zeros of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). Furthermore, we give a table for the zeros of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). |
| format | Article |
| id | doaj-art-e6e67d3abbf043b4a95a34ecd406c9e3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e6e67d3abbf043b4a95a34ecd406c9e32025-02-03T07:24:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/807176807176A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli PolynomialsC. S. Ryoo0T. Kim1Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaWe observe the behavior of roots of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). The main purpose of this paper is also to investigate the zeros of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ). Furthermore, we give a table for the zeros of the (โ,๐)-extension of Bernoulli polynomials ๐ต(โ)๐,๐(๐ฅ).http://dx.doi.org/10.1155/2010/807176 |
| spellingShingle | C. S. Ryoo T. Kim A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials Discrete Dynamics in Nature and Society |
| title | A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials |
| title_full | A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials |
| title_fullStr | A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials |
| title_full_unstemmed | A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials |
| title_short | A Note on the (โ,๐)-Extension of Bernoulli Numbers and Bernoulli Polynomials |
| title_sort | note on the h ๐ extension of bernoulli numbers and bernoulli polynomials |
| url | http://dx.doi.org/10.1155/2010/807176 |
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