Work

On Combinatorial Identities for R-generalized Fibonacci Sequences

Year: 2024

Type: article

Abstract: In this paper, we investigate combinatorial identities for r−generalized Fibonacci sequences. For this purpose, we established a combinatorial fundamental system related to the sequences of r−generalized Fibonacci type, and using the properties of the Casoratian matrix associated we obtain new combinatorial identities. Moreover, some special cases are studied and new general combinatorial identities are provided for these special sequences of numbers. Keywords: Fundamental System, Properties, Combinatorial Identities.

Source: Revista Sergipana de Matemática e Educação Matemática

DOI: 10.34179/revisem.v9i3.21331

Authors: Reginaldo Leoncio Silva, Elen Viviani Pereira Spreafico

Institution: Southwest Bahia State University

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Ministerio de Economía y Competitividad, Universidade Federal de Mato Grosso do Sul

OpenAlex ID: W4403728353

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