TY - JOUR
T1 - ϕ(x)-Tribonnaci polynomial, numbers, and its sum
AU - Pandurangan, Rajiniganth
AU - Kannan, Suresh
AU - Thabet, Sabri T.M.
AU - Vivas-Cortez, Miguel
AU - Kedim, Imed
N1 - Publisher Copyright:
© 2024, International Scientific Research Publications. All rights reserved.
PY - 2025
Y1 - 2025
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=85205263960&partnerID=8YFLogxK
U2 - 10.22436/jmcs.037.01.03
DO - 10.22436/jmcs.037.01.03
M3 - Article
AN - SCOPUS:85205263960
SN - 2008-949X
VL - 37
SP - 32
EP - 44
JO - Journal of Mathematics and Computer Science
JF - Journal of Mathematics and Computer Science
IS - 1
ER -