A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications
The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite⁻Apostol-type Frobenius⁻Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz&...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/10/11/652 |
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| author | Serkan Araci Mumtaz Riyasat Shahid Ahmad Wani Subuhi Khan |
| author_facet | Serkan Araci Mumtaz Riyasat Shahid Ahmad Wani Subuhi Khan |
| author_sort | Serkan Araci |
| collection | DOAJ |
| description | The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite⁻Apostol-type Frobenius⁻Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz⁻Lerch Zeta functions and some summation formulae related to these polynomials are derived. Further, we establish certain symmetry identities involving generalized power sums and Hurwitz⁻Lerch Zeta functions. An operational view for these polynomials is presented, and corresponding applications are given. The illustrative special cases are also mentioned along with their generating equations. |
| first_indexed | 2024-04-14T01:50:38Z |
| format | Article |
| id | doaj.art-44b1087a305b4bcb9a2d8b8431e78775 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-14T01:50:38Z |
| publishDate | 2018-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-44b1087a305b4bcb9a2d8b8431e787752022-12-22T02:19:21ZengMDPI AGSymmetry2073-89942018-11-01101165210.3390/sym10110652sym10110652A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its ApplicationsSerkan Araci0Mumtaz Riyasat1Shahid Ahmad Wani2Subuhi Khan3Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, Gaziantep TR-27410, TurkeyDepartment of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, IndiaDepartment of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, IndiaDepartment of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, IndiaThe article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite⁻Apostol-type Frobenius⁻Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz⁻Lerch Zeta functions and some summation formulae related to these polynomials are derived. Further, we establish certain symmetry identities involving generalized power sums and Hurwitz⁻Lerch Zeta functions. An operational view for these polynomials is presented, and corresponding applications are given. The illustrative special cases are also mentioned along with their generating equations.https://www.mdpi.com/2073-8994/10/11/652Apostol-type Frobenius–Euler polynomialsthree-variable Hermite polynomialssymmetric identitiesexplicit relationsoperational connection |
| spellingShingle | Serkan Araci Mumtaz Riyasat Shahid Ahmad Wani Subuhi Khan A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications Symmetry Apostol-type Frobenius–Euler polynomials three-variable Hermite polynomials symmetric identities explicit relations operational connection |
| title | A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications |
| title_full | A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications |
| title_fullStr | A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications |
| title_full_unstemmed | A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications |
| title_short | A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications |
| title_sort | new class of hermite apostol type frobenius euler polynomials and its applications |
| topic | Apostol-type Frobenius–Euler polynomials three-variable Hermite polynomials symmetric identities explicit relations operational connection |
| url | https://www.mdpi.com/2073-8994/10/11/652 |
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