A new class of Gould-Hopper-Eulerian-type polynomials
In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials. Utilizing the operational method, the generating functions, series expansions, and dif...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2022.2055754 |
| _version_ | 1797641026713681920 |
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| author | Abdulghani Muhyi |
| author_facet | Abdulghani Muhyi |
| author_sort | Abdulghani Muhyi |
| collection | DOAJ |
| description | In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials. Utilizing the operational method, the generating functions, series expansions, and differential equations for these polynomials are constructed. Various considerable identities and relations related to these polynomials are also derived. In addition, certain members of the parametric kinds of Gould-Hopper-Eulerian-type polynomials are presented and the corresponding results related to these members are derived. Further, with the help of computer-program (Mathematica), certain interesting zeros and graphical representations of some members of parametric kinds of Gould-Hopper-Eulerian-type family are presented. |
| first_indexed | 2024-03-11T13:39:41Z |
| format | Article |
| id | doaj.art-ae329ead19f6451c90fd5cb4cc3136be |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:41Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-ae329ead19f6451c90fd5cb4cc3136be2023-11-02T13:48:31ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112022-12-0130128330610.1080/27690911.2022.20557542055754A new class of Gould-Hopper-Eulerian-type polynomialsAbdulghani Muhyi0Hajjah UniversityIn the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials. Utilizing the operational method, the generating functions, series expansions, and differential equations for these polynomials are constructed. Various considerable identities and relations related to these polynomials are also derived. In addition, certain members of the parametric kinds of Gould-Hopper-Eulerian-type polynomials are presented and the corresponding results related to these members are derived. Further, with the help of computer-program (Mathematica), certain interesting zeros and graphical representations of some members of parametric kinds of Gould-Hopper-Eulerian-type family are presented.http://dx.doi.org/10.1080/27690911.2022.2055754gould-hopper polynomialseulerian-type polynomialsmonomiality principlegenerating functionapostol–type polynomials |
| spellingShingle | Abdulghani Muhyi A new class of Gould-Hopper-Eulerian-type polynomials Applied Mathematics in Science and Engineering gould-hopper polynomials eulerian-type polynomials monomiality principle generating function apostol–type polynomials |
| title | A new class of Gould-Hopper-Eulerian-type polynomials |
| title_full | A new class of Gould-Hopper-Eulerian-type polynomials |
| title_fullStr | A new class of Gould-Hopper-Eulerian-type polynomials |
| title_full_unstemmed | A new class of Gould-Hopper-Eulerian-type polynomials |
| title_short | A new class of Gould-Hopper-Eulerian-type polynomials |
| title_sort | new class of gould hopper eulerian type polynomials |
| topic | gould-hopper polynomials eulerian-type polynomials monomiality principle generating function apostol–type polynomials |
| url | http://dx.doi.org/10.1080/27690911.2022.2055754 |
| work_keys_str_mv | AT abdulghanimuhyi anewclassofgouldhoppereuleriantypepolynomials AT abdulghanimuhyi newclassofgouldhoppereuleriantypepolynomials |