Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β
Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weigh...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/860921 |
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| _version_ | 1832551568697720832 |
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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 | Recently many mathematicians are working on Genocchi polynomials and
Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials
with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted
q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽. Finally, we find
relations between twisted q-Genocchi zeta function and twisted Hurwitz q-Genocchi zeta
function. |
| format | Article |
| id | doaj-art-d15e0d17bb9c4ef4bcd4329287abfbcd |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d15e0d17bb9c4ef4bcd4329287abfbcd2025-02-03T06:01:12ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/860921860921Some Relations of the Twisted 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 KoreaRecently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽 and give some interesting relations of the twisted q-Genocchi numbers and polynomials with weight 𝛼 and weak weight 𝛽. Finally, we find relations between twisted q-Genocchi zeta function and twisted Hurwitz q-Genocchi zeta function.http://dx.doi.org/10.1155/2012/860921 |
| spellingShingle | J. Y. Kang H. Y. Lee N. S. Jung Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β Abstract and Applied Analysis |
| title | Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β |
| title_full | Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β |
| title_fullStr | Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β |
| title_full_unstemmed | Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β |
| title_short | Some Relations of the Twisted q-Genocchi Numbers and Polynomials with Weight α and Weak Weight β |
| title_sort | some relations of the twisted q genocchi numbers and polynomials with weight α and weak weight β |
| url | http://dx.doi.org/10.1155/2012/860921 |
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