A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼
We discuss a new concept of the 𝑞-extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized 𝑞-Bernoulli numbers with weight 𝛼 attached to 𝜒.
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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/10.1155/2011/867217 |
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| author | T. Kim S. H. Lee D. V. Dolgy C. S. Ryoo |
| author_facet | T. Kim S. H. Lee D. V. Dolgy C. S. Ryoo |
| author_sort | T. Kim |
| collection | DOAJ |
| description | We discuss a new concept of the 𝑞-extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized
𝑞-Bernoulli numbers with weight 𝛼 attached to 𝜒. |
| format | Article |
| id | doaj-art-870a6cc78a174ab7962848366598eaf7 |
| 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-870a6cc78a174ab7962848366598eaf72025-02-03T01:22:34ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/867217867217A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼T. Kim0S. H. Lee1D. V. Dolgy2C. S. Ryoo3Division of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaDivision of General Education, Kwangwoon University, Seoul 139-701, Republic of KoreaHanrimwon, Kwangwoon University, Seoul 139-701, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaWe discuss a new concept of the 𝑞-extension of Bernoulli measure. From those measures, we derive some interesting properties on the generalized 𝑞-Bernoulli numbers with weight 𝛼 attached to 𝜒.http://dx.doi.org/10.1155/2011/867217 |
| spellingShingle | T. Kim S. H. Lee D. V. Dolgy C. S. Ryoo A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼 Abstract and Applied Analysis |
| title | A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼 |
| title_full | A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼 |
| title_fullStr | A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼 |
| title_full_unstemmed | A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼 |
| title_short | A Note on the Generalized 𝑞-Bernoulli Measures with Weight 𝛼 |
| title_sort | note on the generalized 𝑞 bernoulli measures with weight 𝛼 |
| url | http://dx.doi.org/10.1155/2011/867217 |
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