Binomial Transforms of the Third-Order Jacobsthal and Modified Third-Order Jacobsthal Polynomials
In this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations. Also, we establish the relations between these t...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2024-09-01
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| Series: | Universal Journal of Mathematics and Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/3975113 |
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| Summary: | In this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations. Also, we establish the relations between these transforms by deriving new formulas. Finally, the Vajda, d'Ocagne, Catalan and Cassini formulas for these transforms are obtained. |
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| ISSN: | 2619-9653 |