Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/16178
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dc.contributor.authorAdegoke, Kunle-
dc.contributor.authorFrontczak, Robert-
dc.contributor.authorГой, Тарас Петрович-
dc.contributor.authorHoi, Taras-
dc.date.accessioned2023-04-10T06:25:15Z-
dc.date.available2023-04-10T06:25:15Z-
dc.date.issued2022-
dc.identifier.citationAdegoke 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.urihttp://hdl.handle.net/123456789/16178-
dc.description.abstractWe 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.isoen_USuk_UA
dc.subjectHoradam sequenceuk_UA
dc.subjectFibonacci sequenceuk_UA
dc.subjectChebyshev polynomialuk_UA
dc.subjectreciprocal seriesuk_UA
dc.subjectrecurrence relationuk_UA
dc.subjectpartial sumuk_UA
dc.titleRecurrence relations for the squares of the Horadam numbers and some associated consequencesuk_UA
dc.typeArticleuk_UA
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