On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽
We construct a new type of 𝑞-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽∶𝐺(𝛼,𝛽)𝑛,𝑞,𝐺(𝛼,𝛽)𝑛,𝑞(𝑥), respectively. Some interesting results and relationships are obtained.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/743939 |
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| _version_ | 1832552454473908224 |
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| author | J. Y. Kang H. Y. Lee N. S. Jung |
| author_facet | J. Y. Kang H. Y. Lee N. S. Jung |
| author_sort | J. Y. Kang |
| collection | DOAJ |
| description | We construct a new type of 𝑞-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽∶𝐺(𝛼,𝛽)𝑛,𝑞,𝐺(𝛼,𝛽)𝑛,𝑞(𝑥), respectively. Some interesting results and relationships are obtained. |
| format | Article |
| id | doaj-art-adf58d573a1f43658495cd02c459c1a0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-adf58d573a1f43658495cd02c459c1a02025-02-03T05:58:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/743939743939On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽J. Y. Kang0H. Y. Lee1N. S. Jung2Department of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaDepartment of Mathematics, Hannam University, Daejeon 306-791, Republic of KoreaWe construct a new type of 𝑞-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽∶𝐺(𝛼,𝛽)𝑛,𝑞,𝐺(𝛼,𝛽)𝑛,𝑞(𝑥), respectively. Some interesting results and relationships are obtained.http://dx.doi.org/10.1155/2012/743939 |
| spellingShingle | J. Y. Kang H. Y. Lee N. S. Jung On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽 Journal of Applied Mathematics |
| title | On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽 |
| title_full | On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽 |
| title_fullStr | On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽 |
| title_full_unstemmed | On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽 |
| title_short | On the 𝑞-Genocchi Numbers and Polynomials with Weight 𝛼 and Weak Weight 𝛽 |
| title_sort | on the 𝑞 genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 |
| url | http://dx.doi.org/10.1155/2012/743939 |
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