Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and 𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝
A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝. The study of these higher-order 𝑞-Genocchi numbers and polynomials yields an interesting 𝑞-analog of identities for Stirling num...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/860280 |
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| author | Seog-Hoon Rim Jeong-Hee Jin Eun-Jung Moon Sun-Jung Lee |
| author_facet | Seog-Hoon Rim Jeong-Hee Jin Eun-Jung Moon Sun-Jung Lee |
| author_sort | Seog-Hoon Rim |
| collection | DOAJ |
| description | A systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝. The study of these higher-order 𝑞-Genocchi numbers and polynomials yields an interesting 𝑞-analog of identities for Stirling numbers. |
| format | Article |
| id | doaj-art-fd2e230a740944d2809d4f71f76094eb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fd2e230a740944d2809d4f71f76094eb2025-02-03T06:06:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/860280860280Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and 𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝Seog-Hoon Rim0Jeong-Hee Jin1Eun-Jung Moon2Sun-Jung Lee3Department of Mathematics, Kyungpook National University, Tagegu 702-701, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Tagegu 702-701, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Tagegu 702-701, Republic of KoreaDepartment of Mathematics, Kyungpook National University, Tagegu 702-701, Republic of KoreaA systemic study of some families of 𝑞-Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic 𝑝-adic integral on ℤ𝑝. The study of these higher-order 𝑞-Genocchi numbers and polynomials yields an interesting 𝑞-analog of identities for Stirling numbers.http://dx.doi.org/10.1155/2010/860280 |
| spellingShingle | Seog-Hoon Rim Jeong-Hee Jin Eun-Jung Moon Sun-Jung Lee Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and 𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝 International Journal of Mathematics and Mathematical Sciences |
| title | Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and
𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝 |
| title_full | Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and
𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝 |
| title_fullStr | Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and
𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝 |
| title_full_unstemmed | Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and
𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝 |
| title_short | Some Identities on the 𝑞-Genocchi Polynomials of Higher-Order and
𝑞-Stirling Numbers by the Fermionic 𝑝-Adic Integral on ℤ𝑝 |
| title_sort | some identities on the 𝑞 genocchi polynomials of higher order and 𝑞 stirling numbers by the fermionic 𝑝 adic integral on z𝑝 |
| url | http://dx.doi.org/10.1155/2010/860280 |
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