Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions
In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's type q-Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem: “are there analytic multiple twisted Carlitz's type q-zeta functions which interpola...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2008-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2008/304539 |
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| _version_ | 1832554558868422656 |
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| author | Min-Soo Kim Taekyun Kim Jin-Woo Son |
| author_facet | Min-Soo Kim Taekyun Kim Jin-Woo Son |
| author_sort | Min-Soo Kim |
| collection | DOAJ |
| description | In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's type q-Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem: “are there analytic multiple twisted Carlitz's type q-zeta functions which interpolate multiple twisted Carlitz's type q-Euler (Bernoulli) polynomials?” The aim of this paper is to give a partial answer to this problem. Furthermore we derive some interesting identities related to twisted q-extension of Euler polynomials and multiple twisted Carlitz's type q-Euler polynomials. |
| format | Article |
| id | doaj-art-38cbdd2694d044d0865c51ae5a149142 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-38cbdd2694d044d0865c51ae5a1491422025-02-03T05:51:04ZengWileyAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/304539304539Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type FunctionsMin-Soo Kim0Taekyun Kim1Jin-Woo Son2Department of Mathematics, Kyungnam University, Masan 631-701, South KoreaDivision of General Education-Mathematics, Kwangwoon University, Seoul 139-701, South KoreaDepartment of Mathematics, Kyungnam University, Masan 631-701, South KoreaIn 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's type q-Bernoulli polynomials and obtained the distribution relation for them. They also raised the following problem: “are there analytic multiple twisted Carlitz's type q-zeta functions which interpolate multiple twisted Carlitz's type q-Euler (Bernoulli) polynomials?” The aim of this paper is to give a partial answer to this problem. Furthermore we derive some interesting identities related to twisted q-extension of Euler polynomials and multiple twisted Carlitz's type q-Euler polynomials.http://dx.doi.org/10.1155/2008/304539 |
| spellingShingle | Min-Soo Kim Taekyun Kim Jin-Woo Son Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions Abstract and Applied Analysis |
| title | Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions |
| title_full | Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions |
| title_fullStr | Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions |
| title_full_unstemmed | Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions |
| title_short | Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions |
| title_sort | multivariate p adic fermionic q integral on zp and related multiple zeta type functions |
| url | http://dx.doi.org/10.1155/2008/304539 |
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