New Type of Degenerate Changhee–Genocchi Polynomials
A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim. We investigate some properties of these numbers an...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/8/355 |
| _version_ | 1797432503099719680 |
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| author | Maryam Salem Alatawi Waseem Ahmad Khan |
| author_facet | Maryam Salem Alatawi Waseem Ahmad Khan |
| author_sort | Maryam Salem Alatawi |
| collection | DOAJ |
| description | A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim. We investigate some properties of these numbers and polynomials. We also introduce a higher-order new type of degenerate Changhee–Genocchi numbers and polynomials which can be represented in terms of the degenerate logarithm function. Finally, we derive their summation formulae. |
| first_indexed | 2024-03-09T10:01:32Z |
| format | Article |
| id | doaj.art-6cba887b03ab4f88982579ee7551c87e |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T10:01:32Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-6cba887b03ab4f88982579ee7551c87e2023-12-01T23:24:25ZengMDPI AGAxioms2075-16802022-07-0111835510.3390/axioms11080355New Type of Degenerate Changhee–Genocchi PolynomialsMaryam Salem Alatawi0Waseem Ahmad Khan1Department of Mathematics, Faculty of Science, 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 ArabiaA remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and polynomials which are different from those previously introduced by Kim. We investigate some properties of these numbers and polynomials. We also introduce a higher-order new type of degenerate Changhee–Genocchi numbers and polynomials which can be represented in terms of the degenerate logarithm function. Finally, we derive their summation formulae.https://www.mdpi.com/2075-1680/11/8/355degenerate Genocchi polynomials and numbersdegenerate Changhee–Genocchi polynomialshigher-order degenerate Changhee–Genocchi polynomials and numbersStirling numbers |
| spellingShingle | Maryam Salem Alatawi Waseem Ahmad Khan New Type of Degenerate Changhee–Genocchi Polynomials Axioms degenerate Genocchi polynomials and numbers degenerate Changhee–Genocchi polynomials higher-order degenerate Changhee–Genocchi polynomials and numbers Stirling numbers |
| title | New Type of Degenerate Changhee–Genocchi Polynomials |
| title_full | New Type of Degenerate Changhee–Genocchi Polynomials |
| title_fullStr | New Type of Degenerate Changhee–Genocchi Polynomials |
| title_full_unstemmed | New Type of Degenerate Changhee–Genocchi Polynomials |
| title_short | New Type of Degenerate Changhee–Genocchi Polynomials |
| title_sort | new type of degenerate changhee genocchi polynomials |
| topic | degenerate Genocchi polynomials and numbers degenerate Changhee–Genocchi polynomials higher-order degenerate Changhee–Genocchi polynomials and numbers Stirling numbers |
| url | https://www.mdpi.com/2075-1680/11/8/355 |
| work_keys_str_mv | AT maryamsalemalatawi newtypeofdegeneratechangheegenocchipolynomials AT waseemahmadkhan newtypeofdegeneratechangheegenocchipolynomials |