On generalized degenerate Euler–Genocchi polynomials
We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α, as a degenerate version of the generalized Eule...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-12-01
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| Series: | Applied Mathematics in Science and Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/27690911.2022.2159958 |
| _version_ | 1797641042229460992 |
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| author | Taekyun Kim Dae San Kim Hye Kyung Kim |
| author_facet | Taekyun Kim Dae San Kim Hye Kyung Kim |
| author_sort | Taekyun Kim |
| collection | DOAJ |
| description | We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α, as a degenerate version of the generalized Euler–Genocchi polynomials of order α. The aim of this paper is to study certain properties and identities involving those polynomials, the generalized falling factorials, the degenerate Euler polynomials of order α, the degenerate Stirling numbers of the second kind, and the ‘alternating degenerate power sum of integers’. |
| first_indexed | 2024-03-11T13:39:54Z |
| format | Article |
| id | doaj.art-f42e2c61b9d846549e70dcc16d1ecd33 |
| institution | Directory Open Access Journal |
| issn | 2769-0911 |
| language | English |
| last_indexed | 2024-03-11T13:39:54Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj.art-f42e2c61b9d846549e70dcc16d1ecd332023-11-02T13:48:31ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112023-12-0131110.1080/27690911.2022.21599582159958On generalized degenerate Euler–Genocchi polynomialsTaekyun Kim0Dae San Kim1Hye Kyung Kim2Kwangwoon UniversitySogang UniversityDaegu Catholic UniversityWe introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α, as a degenerate version of the generalized Euler–Genocchi polynomials of order α. The aim of this paper is to study certain properties and identities involving those polynomials, the generalized falling factorials, the degenerate Euler polynomials of order α, the degenerate Stirling numbers of the second kind, and the ‘alternating degenerate power sum of integers’.http://dx.doi.org/10.1080/27690911.2022.2159958generalized degenerate euler–genocchi polynomialsgeneralized degenerate euler–genocchi polynomials of order αthe alternating degenerate power sum of integers |
| spellingShingle | Taekyun Kim Dae San Kim Hye Kyung Kim On generalized degenerate Euler–Genocchi polynomials Applied Mathematics in Science and Engineering generalized degenerate euler–genocchi polynomials generalized degenerate euler–genocchi polynomials of order α the alternating degenerate power sum of integers |
| title | On generalized degenerate Euler–Genocchi polynomials |
| title_full | On generalized degenerate Euler–Genocchi polynomials |
| title_fullStr | On generalized degenerate Euler–Genocchi polynomials |
| title_full_unstemmed | On generalized degenerate Euler–Genocchi polynomials |
| title_short | On generalized degenerate Euler–Genocchi polynomials |
| title_sort | on generalized degenerate euler genocchi polynomials |
| topic | generalized degenerate euler–genocchi polynomials generalized degenerate euler–genocchi polynomials of order α the alternating degenerate power sum of integers |
| url | http://dx.doi.org/10.1080/27690911.2022.2159958 |
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