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Title: | Recurrence relations for the squares of the Horadam numbers and some associated consequences |
Authors: | Adegoke, Kunle Frontczak, Robert Гой, Тарас Петрович Hoi, Taras |
Keywords: | Horadam sequence Fibonacci sequence Chebyshev polynomial reciprocal series recurrence relation partial sum |
Issue Date: | 2022 |
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. |
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. |
URI: | http://hdl.handle.net/123456789/16178 |
Appears in Collections: | Статті та тези (ФМІ) |
Files in This Item:
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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