Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q-Euler zeta function) and l-function which inte...
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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/10.1155/2008/390857 |
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| author | Hacer Ozden Ismail Naci Cangul Yilmaz Simsek |
| author_facet | Hacer Ozden Ismail Naci Cangul Yilmaz Simsek |
| author_sort | Hacer Ozden |
| collection | DOAJ |
| description | The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q-Euler zeta function) and l-function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitz q-Euler zeta function and multivariate q-Euler l-function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well. |
| format | Article |
| id | doaj-art-2c30d29574f54bf4bfe5bff3e813b8f6 |
| 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-2c30d29574f54bf4bfe5bff3e813b8f62025-08-20T03:55:17ZengWileyAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/390857390857Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their ApplicationsHacer Ozden0Ismail Naci Cangul1Yilmaz Simsek2Department of Mathematics, Faculty of Arts and Science, University of Uludag, Bursa 16059, TurkeyDepartment of Mathematics, Faculty of Arts and Science, University of Uludag, Bursa 16059, TurkeyDepartment of Mathematics, Faculty of Arts and Science, University of Akdeniz, Antalya 07058, TurkeyThe aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q-Euler zeta function) and l-function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitz q-Euler zeta function and multivariate q-Euler l-function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well.http://dx.doi.org/10.1155/2008/390857 |
| spellingShingle | Hacer Ozden Ismail Naci Cangul Yilmaz Simsek Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications Abstract and Applied Analysis |
| title | Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications |
| title_full | Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications |
| title_fullStr | Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications |
| title_full_unstemmed | Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications |
| title_short | Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications |
| title_sort | multivariate interpolation functions of higher order q euler numbers and their applications |
| url | http://dx.doi.org/10.1155/2008/390857 |
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