Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomia...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/451217 |
| _version_ | 1818645423339864064 |
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| author | Kyung-Won Hwang Young-Hee Kim Taekyun Kim |
| author_facet | Kyung-Won Hwang Young-Hee Kim Taekyun Kim |
| author_sort | Kyung-Won Hwang |
| collection | DOAJ |
| description | The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define q-extensions of Apostol type's Euler polynomials of higher order using the multivariate fermionic p-adic integral on ℤp. We have the interpolation functions of these q-λ-Euler polynomials. We also give (h,q)-extensions of Apostol's type Euler polynomials of higher order and have the multiple Hurwitz type zeta functions of these (h,q)-λ-Euler polynomials. |
| first_indexed | 2024-12-17T00:30:30Z |
| format | Article |
| id | doaj.art-576a659d0c5d48c092e6fa35e4567058 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-17T00:30:30Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-576a659d0c5d48c092e6fa35e45670582022-12-21T22:10:20ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/451217Interpolation Functions of q-Extensions of Apostol's Type Euler PolynomialsKyung-Won HwangYoung-Hee KimTaekyun KimThe main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of these polynomials. We define q-extensions of Apostol type's Euler polynomials of higher order using the multivariate fermionic p-adic integral on ℤp. We have the interpolation functions of these q-λ-Euler polynomials. We also give (h,q)-extensions of Apostol's type Euler polynomials of higher order and have the multiple Hurwitz type zeta functions of these (h,q)-λ-Euler polynomials.http://dx.doi.org/10.1155/2009/451217 |
| spellingShingle | Kyung-Won Hwang Young-Hee Kim Taekyun Kim Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials Journal of Inequalities and Applications |
| title | Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials |
| title_full | Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials |
| title_fullStr | Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials |
| title_full_unstemmed | Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials |
| title_short | Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials |
| title_sort | interpolation functions of q extensions of apostol 39 s type euler polynomials |
| url | http://dx.doi.org/10.1155/2009/451217 |
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