A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials
Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the multiple logarithm and generalize, respectively,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/3810046 |
| _version_ | 1797710755588472832 |
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| author | Taekyun Kim Dae San Kim Jin-Woo Park Jongkyum Kwon |
| author_facet | Taekyun Kim Dae San Kim Jin-Woo Park Jongkyum Kwon |
| author_sort | Taekyun Kim |
| collection | DOAJ |
| description | Recently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the multiple logarithm and generalize, respectively, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials. Especially, we express the former by the generalized Euler–Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind, and the latter by the generalized degenerate Euler–Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind. |
| first_indexed | 2024-03-12T06:56:53Z |
| format | Article |
| id | doaj.art-2dcba324cadf4a008cb986b74c58b3ef |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-03-12T06:56:53Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-2dcba324cadf4a008cb986b74c58b3ef2023-09-03T00:00:03ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/3810046A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi PolynomialsTaekyun Kim0Dae San Kim1Jin-Woo Park2Jongkyum Kwon3Department of MathematicsDepartment of MathematicsDepartment of Mathematics EducationDepartment of Mathematics Education and ERIRecently, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials are introduced. The aim of this note is to study the multi-Euler–Genocchi and degenerate multi-Euler–Genocchi polynomials which are defined by means of the multiple logarithm and generalize, respectively, the generalized Euler–Genocchi and generalized degenerate Euler–Genocchi polynomials. Especially, we express the former by the generalized Euler–Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind, and the latter by the generalized degenerate Euler–Genocchi polynomials, the multi-Stirling numbers of the first kind and Stirling numbers of the second kind.http://dx.doi.org/10.1155/2023/3810046 |
| spellingShingle | Taekyun Kim Dae San Kim Jin-Woo Park Jongkyum Kwon A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials Journal of Mathematics |
| title | A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials |
| title_full | A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials |
| title_fullStr | A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials |
| title_full_unstemmed | A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials |
| title_short | A Note on Multi-Euler–Genocchi and Degenerate Multi-Euler–Genocchi Polynomials |
| title_sort | note on multi euler genocchi and degenerate multi euler genocchi polynomials |
| url | http://dx.doi.org/10.1155/2023/3810046 |
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