Sviteková, Monika and Szalay, László (2024) On a combinatorial identity associated with Pascal’s triangle. ANNALES MATHEMATICAE ET INFORMATICAE, 60. pp. 133-140. ISSN 1787-6117
|
Text
AMI_60_from133to140.pdf - Published Version Download (546kB) | Preview |
Official URL: http://doi.org/10.33039/ami.2024.12.003
Abstract
Let f(x) = cosx, and consider the sum τ(f) n = k n−k k f(kt). Using a general method due to Ahmia and Szalay on weighted sums in generalized Pascal triangle an explicit formula is developed for τ(f) n . Ananalogous result is provided if f(x) = sinx, and a strong connection to Fibonacci polynomials is also discovered in both cases.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | combinatorial identity, Pascal’s triangle, weighted sum, Fibonacci polynomial |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 23 Jan 2025 13:33 |
| Last Modified: | 23 Jan 2025 13:33 |
| URI: | https://real.mtak.hu/id/eprint/214225 |
Actions (login required)
 |
Edit Item |
