On the generalized p-periodic linear recursive sequences via the Fibonacci–Horner decomposition of the matrix powers

Rachidi, Mustapha and Szalay, László and Yilmaz, Fatih (2025) On the generalized p-periodic linear recursive sequences via the Fibonacci–Horner decomposition of the matrix powers. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 31 (2). pp. 311-325. ISSN 1310-5132

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Abstract

In this study, we investigate the matrix formulation of the generalized p-periodic linear recursive sequences. To reach our goal, we consider the properties of the Fibonacci–Horner decomposition of the matrix powers and those of the weighted linear recursive sequence of Fibonacci type. We provide the linear, the combinatorial, and the analytic representations of the generalized p-periodic linear recursive sequences. For illustrating our general results, properties of some special cases are studied and numerical example are furnished.

Tudományterület / tudományág

natural sciences > mathematics and computer sciences

Faculty

Not relevant

Institution

Soproni Egyetem

Item Type:	Article
SWORD Depositor:	Teszt Sword
Depositing User:	Csaba Horváth
Identification Number:	MTMT:36230423
Date Deposited:	08 Jul 2025 08:21
Last Modified:	08 Jul 2025 08:21
URI:	http://publicatio.uni-sopron.hu/id/eprint/3699

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