On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶
We present a systemic study of some families of higher-order 𝑞-Bernoulli numbers and polynomials with weight 𝛼. From these studies, we derive some interesting identities on the 𝑞-Bernoulli numbers and polynomials with weight 𝛼.
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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/10.1155/2011/392025 |
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| _version_ | 1832545578778624000 |
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| author | T. Kim J. Choi |
| author_facet | T. Kim J. Choi |
| author_sort | T. Kim |
| collection | DOAJ |
| description | We present a systemic study of some families of higher-order 𝑞-Bernoulli numbers and polynomials with weight 𝛼. From these studies, we derive some interesting identities on the 𝑞-Bernoulli numbers and polynomials with weight 𝛼. |
| format | Article |
| id | doaj-art-632f05caef884a3485e03159e4318103 |
| 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-632f05caef884a3485e03159e43181032025-02-03T07:25:28ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/392025392025On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶T. Kim0J. Choi1Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, Republic of KoreaWe present a systemic study of some families of higher-order 𝑞-Bernoulli numbers and polynomials with weight 𝛼. From these studies, we derive some interesting identities on the 𝑞-Bernoulli numbers and polynomials with weight 𝛼.http://dx.doi.org/10.1155/2011/392025 |
| spellingShingle | T. Kim J. Choi On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶 Abstract and Applied Analysis |
| title | On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶 |
| title_full | On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶 |
| title_fullStr | On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶 |
| title_full_unstemmed | On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶 |
| title_short | On the 𝑞-Bernoulli Numbers and Polynomials with Weight 𝜶 |
| title_sort | on the 𝑞 bernoulli numbers and polynomials with weight 𝜶 |
| url | http://dx.doi.org/10.1155/2011/392025 |
| work_keys_str_mv | AT tkim ontheqbernoullinumbersandpolynomialswithweightα AT jchoi ontheqbernoullinumbersandpolynomialswithweightα |