Bi-Periodic Pell Sequence
| Autor: | S. Uygun, H. Karataş |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Academic Journal of Applied Mathematical Sciences. :136-144 |
| ISSN: | 2415-2188 2415-5225 |
| DOI: | 10.32861/ajams.67.136.144 |
| Popis: | In this study, we introduce a new generalization of the Pell numbers which is called bi-periodic Pell sequences. We then proceed to find the Binet formula as well as the generating function for this sequence. The well-known Cassini, Catalan and the D’ocagne’s identities as well as some related binomial summation and sum formulas are also given. The convergence properties of the consecutive terms of this sequence is also examined. |
| Databáze: | OpenAIRE |
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