Identities on Changhee Polynomials Arising from λ-Sheffer Sequences
In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials, degenerate Bell polynomials, degenerate Lah–Bel...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/5868689 |
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| _version_ | 1832553696099041280 |
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| author | Byung Moon Kim Taekyun Kim Jin-Woo Park Taha Ali Radwan |
| author_facet | Byung Moon Kim Taekyun Kim Jin-Woo Park Taha Ali Radwan |
| author_sort | Byung Moon Kim |
| collection | DOAJ |
| description | In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials, degenerate Bell polynomials, degenerate Lah–Bell polynomials, and degenerate Frobenius–Euler polynomials and Mittag–Leffer polynomials by using λ-Sheffer sequences and λ-differential operators to find the coefficient polynomial when expressing the n-th Changhee polynomials as a linear combination of those degenerate polynomials. In addition, authors derive the inversion formulas of these identities. |
| format | Article |
| id | doaj-art-89f559fb4dbf49ae8de4461585dd468e |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-89f559fb4dbf49ae8de4461585dd468e2025-02-03T05:53:29ZengWileyComplexity1099-05262022-01-01202210.1155/2022/5868689Identities on Changhee Polynomials Arising from λ-Sheffer SequencesByung Moon Kim0Taekyun Kim1Jin-Woo Park2Taha Ali Radwan3Department of Mechanical System EngineeringDepartment of MathematicsDepartment of Mathematics EducationDepartment of MathematicsIn this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials, degenerate Bell polynomials, degenerate Lah–Bell polynomials, and degenerate Frobenius–Euler polynomials and Mittag–Leffer polynomials by using λ-Sheffer sequences and λ-differential operators to find the coefficient polynomial when expressing the n-th Changhee polynomials as a linear combination of those degenerate polynomials. In addition, authors derive the inversion formulas of these identities.http://dx.doi.org/10.1155/2022/5868689 |
| spellingShingle | Byung Moon Kim Taekyun Kim Jin-Woo Park Taha Ali Radwan Identities on Changhee Polynomials Arising from λ-Sheffer Sequences Complexity |
| title | Identities on Changhee Polynomials Arising from λ-Sheffer Sequences |
| title_full | Identities on Changhee Polynomials Arising from λ-Sheffer Sequences |
| title_fullStr | Identities on Changhee Polynomials Arising from λ-Sheffer Sequences |
| title_full_unstemmed | Identities on Changhee Polynomials Arising from λ-Sheffer Sequences |
| title_short | Identities on Changhee Polynomials Arising from λ-Sheffer Sequences |
| title_sort | identities on changhee polynomials arising from λ sheffer sequences |
| url | http://dx.doi.org/10.1155/2022/5868689 |
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