Soykan, Yüksel (2021) On Binomial Transform of the Generalized Fifth Order Pell Sequence. Asian Journal of Advanced Research and Reports, 15 (9). pp. 8-29. ISSN 2582-3248
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359-Article Text-644-2-10-20220916.pdf - Published Version
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Official URL: https://doi.org/10.9734/ajarr/2021/v15i930423
Abstract
In this paper, we define the binomial transform of the generalized fifth order Pell sequence and as special cases, the binomial transform of the fifth order Pell and fifth order Pell-Lucas sequences will be introduced. We investigate their properties in details. We present Binet’s formulas, generating functions, Simson formulas, recurrence properties, and the summation formulas for these binomial transforms. Moreover, we give some identities and matrices related with these binomial transforms.
Item Type: | Article |
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Subjects: | Open Digi Academic > Multidisciplinary |
Depositing User: | Unnamed user with email support@opendigiacademic.com |
Date Deposited: | 27 Feb 2023 09:29 |
Last Modified: | 22 May 2024 09:30 |
URI: | http://publications.journalstm.com/id/eprint/173 |