Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order
We give a new construction of the weighted q-Bernoulli numbers and polynomials of higher order by using multivariate 𝑝-adic 𝑞-integral on ℤ𝑝.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/918364 |
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| _version_ | 1849399928743264256 |
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| author | T. Kim D. V. Dolgy B. Lee S.-H. Rim |
| author_facet | T. Kim D. V. Dolgy B. Lee S.-H. Rim |
| author_sort | T. Kim |
| collection | DOAJ |
| description | We give a new construction of the weighted q-Bernoulli
numbers and polynomials of higher order by using multivariate 𝑝-adic
𝑞-integral
on ℤ𝑝. |
| format | Article |
| id | doaj-art-a4e0fddde79640bdbac3afbb3c85e6cb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a4e0fddde79640bdbac3afbb3c85e6cb2025-08-20T03:38:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/918364918364Identities on the Weighted 𝑞-Bernoulli Numbers of Higher OrderT. Kim0D. V. Dolgy1B. Lee2S.-H. Rim3Division of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaHanrimwon, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Wireless of Communications Engineering, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics Education, Kyungpook National University, Taegu 702-701, Republic of KoreaWe give a new construction of the weighted q-Bernoulli numbers and polynomials of higher order by using multivariate 𝑝-adic 𝑞-integral on ℤ𝑝.http://dx.doi.org/10.1155/2011/918364 |
| spellingShingle | T. Kim D. V. Dolgy B. Lee S.-H. Rim Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order Discrete Dynamics in Nature and Society |
| title | Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order |
| title_full | Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order |
| title_fullStr | Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order |
| title_full_unstemmed | Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order |
| title_short | Identities on the Weighted 𝑞-Bernoulli Numbers of Higher Order |
| title_sort | identities on the weighted 𝑞 bernoulli numbers of higher order |
| url | http://dx.doi.org/10.1155/2011/918364 |
| work_keys_str_mv | AT tkim identitiesontheweightedqbernoullinumbersofhigherorder AT dvdolgy identitiesontheweightedqbernoullinumbersofhigherorder AT blee identitiesontheweightedqbernoullinumbersofhigherorder AT shrim identitiesontheweightedqbernoullinumbersofhigherorder |