Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable
In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind. Moreover, we define degenerat...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/3115424 |
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| _version_ | 1832546040203444224 |
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| author | Ghulam Muhiuddin Waseem Ahmad Khan Deena Al-Kadi |
| author_facet | Ghulam Muhiuddin Waseem Ahmad Khan Deena Al-Kadi |
| author_sort | Ghulam Muhiuddin |
| collection | DOAJ |
| description | In this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind. Moreover, we define degenerate poly-Frobenius-Euler polynomials of complex variables and then we derive several properties and relations. |
| format | Article |
| id | doaj-art-154c1cb353fa451d8c92ea8a0b166a73 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-154c1cb353fa451d8c92ea8a0b166a732025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/31154243115424Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex VariableGhulam Muhiuddin0Waseem Ahmad Khan1Deena Al-Kadi2Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O Box 1664, Al Khobar 31952, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaIn this paper, we introduce degenerate poly-Frobenius-Euler polynomials and derive some identities of these polynomials. We give some relationships between degenerate poly-Frobenius-Euler polynomials and degenerate Whitney numbers and Stirling numbers of the first kind. Moreover, we define degenerate poly-Frobenius-Euler polynomials of complex variables and then we derive several properties and relations.http://dx.doi.org/10.1155/2021/3115424 |
| spellingShingle | Ghulam Muhiuddin Waseem Ahmad Khan Deena Al-Kadi Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable Journal of Function Spaces |
| title | Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable |
| title_full | Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable |
| title_fullStr | Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable |
| title_full_unstemmed | Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable |
| title_short | Construction on the Degenerate Poly-Frobenius-Euler Polynomials of Complex Variable |
| title_sort | construction on the degenerate poly frobenius euler polynomials of complex variable |
| url | http://dx.doi.org/10.1155/2021/3115424 |
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