On the Modified q-Bernoulli Numbers of Higher Order with Weight
The purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic p-adic q-integral on ℤp, we derive new identities of q-Bernoulli numbers and polynomials with weight.
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/948050 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558714789298176 |
|---|---|
| author | T. Kim J. Choi Y.-H. Kim S.-H. Rim |
| author_facet | T. Kim J. Choi Y.-H. Kim S.-H. Rim |
| author_sort | T. Kim |
| collection | DOAJ |
| description | The purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic p-adic q-integral on ℤp, we derive new identities of q-Bernoulli numbers and polynomials with weight. |
| format | Article |
| id | doaj-art-3e0ae1ccb55d4271969a3dd8aa84857e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3e0ae1ccb55d4271969a3dd8aa84857e2025-02-03T01:31:39ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/948050948050On the Modified q-Bernoulli Numbers of Higher Order with WeightT. Kim0J. Choi1Y.-H. Kim2S.-H. Rim3Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics Education, Kyungpook National University, Daegu 702-701, Republic of KoreaThe purpose of this paper is to give some properties of the modified q-Bernoulli numbers and polynomials of higher order with weight. In particular, by using the bosonic p-adic q-integral on ℤp, we derive new identities of q-Bernoulli numbers and polynomials with weight.http://dx.doi.org/10.1155/2012/948050 |
| spellingShingle | T. Kim J. Choi Y.-H. Kim S.-H. Rim On the Modified q-Bernoulli Numbers of Higher Order with Weight Abstract and Applied Analysis |
| title | On the Modified q-Bernoulli Numbers of Higher Order with Weight |
| title_full | On the Modified q-Bernoulli Numbers of Higher Order with Weight |
| title_fullStr | On the Modified q-Bernoulli Numbers of Higher Order with Weight |
| title_full_unstemmed | On the Modified q-Bernoulli Numbers of Higher Order with Weight |
| title_short | On the Modified q-Bernoulli Numbers of Higher Order with Weight |
| title_sort | on the modified q bernoulli numbers of higher order with weight |
| url | http://dx.doi.org/10.1155/2012/948050 |
| work_keys_str_mv | AT tkim onthemodifiedqbernoullinumbersofhigherorderwithweight AT jchoi onthemodifiedqbernoullinumbersofhigherorderwithweight AT yhkim onthemodifiedqbernoullinumbersofhigherorderwithweight AT shrim onthemodifiedqbernoullinumbersofhigherorderwithweight |