ϕ(x)-Tribonnaci polynomial, numbers, and its sum

Rajiniganth Pandurangan; Suresh Kannan; Sabri T.M. Thabet; Miguel Vivas-Cortez; Imed Kedim

doi:10.22436/jmcs.037.01.03

ϕ(x)-Tribonnaci polynomial, numbers, and its sum

Rajiniganth Pandurangan^*, Suresh Kannan, Sabri T.M. Thabet^*, Miguel Vivas-Cortez^*, Imed Kedim

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

This study presents a general third-order nabla difference operator that allows us to get ϕ(x)-Tribonacci sequences, Tri-bonacci numbers, and their sum using the coefficients of different trigonometric functions and their inverse. In this section, we examined the numerical solutions and C^∗-solutions of the ϕ(x)-Tribonacci sequences for different functions. In addition, some interesting conclusions and theorems are obtained for the sum of the terms of the Tribonacci sequence. Also, we offer appropriate examples to show how to use MATLAB to demonstrate our results.

Idioma original	Inglés
Páginas (desde-hasta)	32-44
Número de páginas	13
Publicación	Journal of Mathematics and Computer Science
Volumen	37
N.º	1
DOI	https://doi.org/10.22436/jmcs.037.01.03
Estado	Publicada - 2025

Nota bibliográfica

Publisher Copyright:
© 2024, International Scientific Research Publications. All rights reserved.

Financiación

Financiadores	Número del financiador
Prince Sattam Bin Abdulaziz University	PSAU/2024/R/1446
Pontificia Universidad Católica del Ecuador	UIO2022

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10.22436/jmcs.037.01.03

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LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES
Vivas Cortez, M. J. (Director), Jaramillo Villagómez, J. E. (Investigador principal), VELASCO VELASCO, J. (Investigador Externo), Thabet, S. T. M. (Investigador Externo) & BRAVO QUEZADA, W. G. (Investigador principal)
10/08/24 → 11/08/26
Proyecto: Investigación

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title = "ϕ(x)-Tribonnaci polynomial, numbers, and its sum",

abstract = "This study presents a general third-order nabla difference operator that allows us to get ϕ(x)-Tribonacci sequences, Tri-bonacci numbers, and their sum using the coefficients of different trigonometric functions and their inverse. In this section, we examined the numerical solutions and C∗-solutions of the ϕ(x)-Tribonacci sequences for different functions. In addition, some interesting conclusions and theorems are obtained for the sum of the terms of the Tribonacci sequence. Also, we offer appropriate examples to show how to use MATLAB to demonstrate our results.",

keywords = "C-solution, Generalized nabla difference operator with trigonometric coefficients, generalized Tribonacci sequence, N-solution, Tribonacci summation",

author = "Rajiniganth Pandurangan and Suresh Kannan and Thabet, {Sabri T.M.} and Miguel Vivas-Cortez and Imed Kedim",

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AU - Pandurangan, Rajiniganth

AU - Kannan, Suresh

AU - Thabet, Sabri T.M.

AU - Vivas-Cortez, Miguel

AU - Kedim, Imed

PY - 2025

Y1 - 2025

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AB - This study presents a general third-order nabla difference operator that allows us to get ϕ(x)-Tribonacci sequences, Tri-bonacci numbers, and their sum using the coefficients of different trigonometric functions and their inverse. In this section, we examined the numerical solutions and C∗-solutions of the ϕ(x)-Tribonacci sequences for different functions. In addition, some interesting conclusions and theorems are obtained for the sum of the terms of the Tribonacci sequence. Also, we offer appropriate examples to show how to use MATLAB to demonstrate our results.

KW - C-solution

KW - Generalized nabla difference operator with trigonometric coefficients

KW - generalized Tribonacci sequence

KW - N-solution

KW - Tribonacci summation

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ϕ(x)-Tribonnaci polynomial, numbers, and its sum

Resumen

Nota bibliográfica

Financiación

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Otros archivos y enlaces

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Proyectos

LA DERIVADA FRACCIONAL GENERALIZADA, NUEVOS RESULTADOS Y APLICACIONES EN DESIGUALDADES INTEGRALES

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