Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials
The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/182785 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556325471518720 |
|---|---|
| author | R. Tremblay S. Gaboury B.-J. Fugère |
| author_facet | R. Tremblay S. Gaboury B.-J. Fugère |
| author_sort | R. Tremblay |
| collection | DOAJ |
| description | The main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér (2004) and R. Tremblay, S. Gaboury, B.-J. Fugère, and Tremblay et al. (2011). for both classes. |
| format | Article |
| id | doaj-art-3b3042a6af724b939bc6393d4b1e4bbe |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3b3042a6af724b939bc6393d4b1e4bbe2025-02-03T05:45:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/182785182785Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi PolynomialsR. Tremblay0S. Gaboury1B.-J. Fugère2Department of Mathematics and Computer Science, University of Quebec at Chicoutimi, Chicoutimi, QC, G7H 2B1, CanadaDepartment of Mathematics and Computer Science, Royal Military College of Canda, Kingston, ON, K7K 5L0, CanadaDepartment of Mathematics and Computer Science, Royal Military College of Canda, Kingston, ON, K7K 5L0, CanadaThe main object of this paper is to introduce and investigate two new classes of generalized Apostol-Euler and Apostol-Genocchi polynomials. In particular, we obtain a new addition formula for the new class of the generalized Apostol-Euler polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem obtained in the works by Srivastava and Pintér (2004) and R. Tremblay, S. Gaboury, B.-J. Fugère, and Tremblay et al. (2011). for both classes.http://dx.doi.org/10.1155/2012/182785 |
| spellingShingle | R. Tremblay S. Gaboury B.-J. Fugère Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials International Journal of Mathematics and Mathematical Sciences |
| title | Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials |
| title_full | Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials |
| title_fullStr | Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials |
| title_full_unstemmed | Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials |
| title_short | Some New Classes of Generalized Apostol-Euler and Apostol-Genocchi Polynomials |
| title_sort | some new classes of generalized apostol euler and apostol genocchi polynomials |
| url | http://dx.doi.org/10.1155/2012/182785 |
| work_keys_str_mv | AT rtremblay somenewclassesofgeneralizedapostoleulerandapostolgenocchipolynomials AT sgaboury somenewclassesofgeneralizedapostoleulerandapostolgenocchipolynomials AT bjfugere somenewclassesofgeneralizedapostoleulerandapostolgenocchipolynomials |