Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0
Recently, Kim (2011) has introduced the q-Bernoulli numbers with weight α. In this paper, we consider the q-Bernoulli numbers and polynomials with weight α=0 and give p-adic q-integral representation of Bernstein polynomials associated with q-Bernoulli numbers and polynomials with w...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/361484 |
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| _version_ | 1832568002556461056 |
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| author | T. Kim J. Choi Y. H. Kim |
| author_facet | T. Kim J. Choi Y. H. Kim |
| author_sort | T. Kim |
| collection | DOAJ |
| description | Recently, Kim (2011) has introduced the q-Bernoulli numbers with weight
α. In this paper, we consider the q-Bernoulli numbers and polynomials with weight α=0 and give p-adic q-integral representation of Bernstein polynomials associated with q-Bernoulli numbers and polynomials with weight 0. From these integral representation on ℤp, we derive some interesting identities on the q-Bernoulli numbers and polynomials with weight 0. |
| format | Article |
| id | doaj-art-6ae09d5dc68d429f95f3a20b9f62e9e4 |
| 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-6ae09d5dc68d429f95f3a20b9f62e9e42025-02-03T00:59:55ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/361484361484Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0T. Kim0J. Choi1Y. H. Kim2Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaRecently, Kim (2011) has introduced the q-Bernoulli numbers with weight α. In this paper, we consider the q-Bernoulli numbers and polynomials with weight α=0 and give p-adic q-integral representation of Bernstein polynomials associated with q-Bernoulli numbers and polynomials with weight 0. From these integral representation on ℤp, we derive some interesting identities on the q-Bernoulli numbers and polynomials with weight 0.http://dx.doi.org/10.1155/2011/361484 |
| spellingShingle | T. Kim J. Choi Y. H. Kim Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0 Abstract and Applied Analysis |
| title | Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0 |
| title_full | Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0 |
| title_fullStr | Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0 |
| title_full_unstemmed | Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0 |
| title_short | Some Identities on the q-Bernoulli Numbers and Polynomials with Weight 0 |
| title_sort | some identities on the q bernoulli numbers and polynomials with weight 0 |
| url | http://dx.doi.org/10.1155/2011/361484 |
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