A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials
Recently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied q-analogues of Catalan-Daehee numbers and polynomials by making use of p-adic q-integrals on ℤp. Motivated by this study, we consider q-analogues of degenerate Catalan-Daehee numbers and polynomials with the help of p-adic q-integrals on...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9486880 |
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| author | Waseem A. Khan |
| author_facet | Waseem A. Khan |
| author_sort | Waseem A. Khan |
| collection | DOAJ |
| description | Recently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied q-analogues of Catalan-Daehee numbers and polynomials by making use of p-adic q-integrals on ℤp. Motivated by this study, we consider q-analogues of degenerate Catalan-Daehee numbers and polynomials with the help of p-adic q-integrals on ℤp. By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we also derive some new identities and properties of this type of polynomials and numbers. |
| format | Article |
| id | doaj-art-6d32c6fa39cd4c1f9ccf37d540faa731 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6d32c6fa39cd4c1f9ccf37d540faa7312025-02-03T01:08:46ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9486880A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and PolynomialsWaseem A. Khan0Department of Mathematics and Natural SciencesRecently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied q-analogues of Catalan-Daehee numbers and polynomials by making use of p-adic q-integrals on ℤp. Motivated by this study, we consider q-analogues of degenerate Catalan-Daehee numbers and polynomials with the help of p-adic q-integrals on ℤp. By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we also derive some new identities and properties of this type of polynomials and numbers.http://dx.doi.org/10.1155/2022/9486880 |
| spellingShingle | Waseem A. Khan A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials Journal of Mathematics |
| title | A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials |
| title_full | A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials |
| title_fullStr | A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials |
| title_full_unstemmed | A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials |
| title_short | A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials |
| title_sort | note on q analogues of degenerate catalan daehee numbers and polynomials |
| url | http://dx.doi.org/10.1155/2022/9486880 |
| work_keys_str_mv | AT waseemakhan anoteonqanaloguesofdegeneratecatalandaeheenumbersandpolynomials AT waseemakhan noteonqanaloguesofdegeneratecatalandaeheenumbersandpolynomials |