On a combinatorial identity associated with Pascal’s triangle

Sviteková, Monika and Szalay, László (2024) On a combinatorial identity associated with Pascal’s triangle. ANNALES MATHEMATICAE ET INFORMATICAE, 60. pp. 133-140. ISSN 1787-5021

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Abstract

Let f(x) = cos x, and consider the sum (presented formula). Using a general method due to Ahmia and Szalay on weighted sums in generalized Pascal triangle an explicit formula is developed for τn (f). An analogous result is provided if f(x) = sin x, and a strong connection to Fibonacci polynomials is also discovered in both cases. © 2024, Eszterhazy Karoly College.

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natural sciences > mathematics and computer sciences

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Soproni Egyetem

Item Type:	Article
SWORD Depositor:	Teszt Sword
Depositing User:	Csaba Horváth
Identification Number:	MTMT:35668862
Date Deposited:	31 Jan 2025 07:47
Last Modified:	31 Jan 2025 07:47
URI:	http://publicatio.uni-sopron.hu/id/eprint/3451

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