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 |
| Summary: | 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. |
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| ISSN: | 1025-5834 1029-242X |