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http://hdl.handle.net/123456789/16178
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Adegoke, Kunle | - |
dc.contributor.author | Frontczak, Robert | - |
dc.contributor.author | Гой, Тарас Петрович | - |
dc.contributor.author | Hoi, Taras | - |
dc.date.accessioned | 2023-04-10T06:25:15Z | - |
dc.date.available | 2023-04-10T06:25:15Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Adegoke K., Frontczak R., Goy T. Recurrence relations for the squares of the Horadam numbers and some associated consequences. Tatra Mountains Mathematical Publications. 2022. Vol. 82. P. 17-28. | uk_UA |
dc.identifier.uri | http://hdl.handle.net/123456789/16178 | - |
dc.description.abstract | We derive recurrence relations for the squares of the Horadam numbers w2n, where the Horadam sequence wn is such that the numbers wn, for n ∈ Z, are defined recursively by w0 = a, w1 = b, wn = pwn−1 − qwn−2 (n ≥ 2), where a, b, p and q are arbitrary complex numbers with p ≥ 0 and q ≥ 0. Some related results emanating from the recurrence relations such as reciprocal sums, partial sums, and sums with double binomial coefficients are also presented. | uk_UA |
dc.language.iso | en_US | uk_UA |
dc.subject | Horadam sequence | uk_UA |
dc.subject | Fibonacci sequence | uk_UA |
dc.subject | Chebyshev polynomial | uk_UA |
dc.subject | reciprocal series | uk_UA |
dc.subject | recurrence relation | uk_UA |
dc.subject | partial sum | uk_UA |
dc.title | Recurrence relations for the squares of the Horadam numbers and some associated consequences | uk_UA |
dc.type | Article | uk_UA |
Appears in Collections: | Статті та тези (ФМІ) |
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File | Description | Size | Format | |
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10.2478_tmmp-2022-0016 (1).pdf | 287.83 kB | Adobe PDF | View/Open |
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