Explicit Formulas Involving -Euler Numbers and Polynomials
We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the -Euler numbers and -Bernoulli numbers via the -adic -integral in the -adic int...
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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/10.1155/2012/298531 |
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| _version_ | 1832552399189835776 |
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| author | Serkan Araci Mehmet Acikgoz Jong Jin Seo |
| author_facet | Serkan Araci Mehmet Acikgoz Jong Jin Seo |
| author_sort | Serkan Araci |
| collection | DOAJ |
| description | We deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the -Euler numbers and -Bernoulli numbers via the -adic -integral in the -adic integer ring. |
| format | Article |
| id | doaj-art-de30a4d7a8c647c79c9ec65617ee7d87 |
| 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-de30a4d7a8c647c79c9ec65617ee7d872025-02-03T05:58:50ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/298531298531Explicit Formulas Involving -Euler Numbers and PolynomialsSerkan Araci0Mehmet Acikgoz1Jong Jin Seo2Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, 27310 Gaziantep, TurkeyDepartment of Mathematics, Faculty of Science and Arts, University of Gaziantep, 27310 Gaziantep, TurkeyDepartment of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of KoreaWe deal with -Euler numbers and -Bernoulli numbers. We derive some interesting relations for -Euler numbers and polynomials by using their generating function and derivative operator. Also, we derive relations between the -Euler numbers and -Bernoulli numbers via the -adic -integral in the -adic integer ring.http://dx.doi.org/10.1155/2012/298531 |
| spellingShingle | Serkan Araci Mehmet Acikgoz Jong Jin Seo Explicit Formulas Involving -Euler Numbers and Polynomials Abstract and Applied Analysis |
| title | Explicit Formulas Involving -Euler Numbers and Polynomials |
| title_full | Explicit Formulas Involving -Euler Numbers and Polynomials |
| title_fullStr | Explicit Formulas Involving -Euler Numbers and Polynomials |
| title_full_unstemmed | Explicit Formulas Involving -Euler Numbers and Polynomials |
| title_short | Explicit Formulas Involving -Euler Numbers and Polynomials |
| title_sort | explicit formulas involving euler numbers and polynomials |
| url | http://dx.doi.org/10.1155/2012/298531 |
| work_keys_str_mv | AT serkanaraci explicitformulasinvolvingeulernumbersandpolynomials AT mehmetacikgoz explicitformulasinvolvingeulernumbersandpolynomials AT jongjinseo explicitformulasinvolvingeulernumbersandpolynomials |