A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α
A systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α is presented by using the p-adic q-integration ℤp. The study of these numbers and polynomials yields an interesting q-analogue related to Bernoulli numbers and polynomials.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/545314 |
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| _version_ | 1832566698541056000 |
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| author | T. Kim D. V. Dolgy S. H. Lee B. Lee S. H. Rim |
| author_facet | T. Kim D. V. Dolgy S. H. Lee B. Lee S. H. Rim |
| author_sort | T. Kim |
| collection | DOAJ |
| description | A systemic study of some families of the modified q-Bernoulli
numbers and polynomials with weight α is presented by using the p-adic q-integration
ℤp. The study of these numbers and polynomials yields an interesting q-analogue related to Bernoulli numbers and polynomials. |
| format | Article |
| id | doaj-art-a716536518124c1db36a6f969f5da64f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a716536518124c1db36a6f969f5da64f2025-02-03T01:03:31ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/545314545314A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight αT. Kim0D. V. Dolgy1S. H. Lee2B. Lee3S. H. Rim4Division of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaHanrimwon, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Wireless Communications Engineering, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics Education, Kyungpook National University, Taegu 702-701, Republic of KoreaA systemic study of some families of the modified q-Bernoulli numbers and polynomials with weight α is presented by using the p-adic q-integration ℤp. The study of these numbers and polynomials yields an interesting q-analogue related to Bernoulli numbers and polynomials.http://dx.doi.org/10.1155/2011/545314 |
| spellingShingle | T. Kim D. V. Dolgy S. H. Lee B. Lee S. H. Rim A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α Abstract and Applied Analysis |
| title | A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α |
| title_full | A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α |
| title_fullStr | A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α |
| title_full_unstemmed | A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α |
| title_short | A Note on the Modified q-Bernoulli Numbers and Polynomials with Weight α |
| title_sort | note on the modified q bernoulli numbers and polynomials with weight α |
| url | http://dx.doi.org/10.1155/2011/545314 |
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