A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties
In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these polynomials systematically. Then, we also consider the d...
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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/10.1155/2021/6660517 |
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| _version_ | 1832546054730416128 |
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| author | Waseem A. Khan Rifaqat Ali Khaled Ahmad Hassan Alzobydi Naeem Ahmed |
| author_facet | Waseem A. Khan Rifaqat Ali Khaled Ahmad Hassan Alzobydi Naeem Ahmed |
| author_sort | Waseem A. Khan |
| collection | DOAJ |
| description | In this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these polynomials systematically. Then, we also consider the degenerate unipoly-Genocchi polynomials attached to an arithmetic function, by using the degenerate polylogarithm function, and investigate some identities of those polynomials. In particular, we give some new explicit expressions and identities of degenerate unipoly polynomials related to special numbers and polynomials. |
| format | Article |
| id | doaj-art-479d3105839045d18cd1df30619b48ee |
| 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-479d3105839045d18cd1df30619b48ee2025-02-03T07:23:53ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66605176660517A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain PropertiesWaseem A. Khan0Rifaqat Ali1Khaled Ahmad Hassan Alzobydi2Naeem Ahmed3Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi ArabiaDepartment of Mathematics, College of Science and Arts, Muhayil, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi ArabiaDepartment of Mathematics, College of Science and Arts, Muhayil, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi ArabiaDepartment of Civil Engineering, College of Engineering, Qassim University, Unaizah, Saudi ArabiaIn this paper, we introduce a new type of degenerate Genocchi polynomials and numbers, which are called degenerate poly-Genocchi polynomials and numbers, by using the degenerate polylogarithm function, and we derive several properties of these polynomials systematically. Then, we also consider the degenerate unipoly-Genocchi polynomials attached to an arithmetic function, by using the degenerate polylogarithm function, and investigate some identities of those polynomials. In particular, we give some new explicit expressions and identities of degenerate unipoly polynomials related to special numbers and polynomials.http://dx.doi.org/10.1155/2021/6660517 |
| spellingShingle | Waseem A. Khan Rifaqat Ali Khaled Ahmad Hassan Alzobydi Naeem Ahmed A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties Journal of Function Spaces |
| title | A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties |
| title_full | A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties |
| title_fullStr | A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties |
| title_full_unstemmed | A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties |
| title_short | A New Family of Degenerate Poly-Genocchi Polynomials with Its Certain Properties |
| title_sort | new family of degenerate poly genocchi polynomials with its certain properties |
| url | http://dx.doi.org/10.1155/2021/6660517 |
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