On properties of Tribonacci-Lucas polynomials
Hasan Kose, Nazmiye Yilmaz, Necati Taskara
TL;DR
This paper explores the properties of Tribonacci-Lucas polynomials, generalizing the numbers and deriving new algebraic formulas such as Binet, summation, and generating functions.
Contribution
It introduces new algebraic properties of Tribonacci-Lucas polynomials, extending the understanding of their structure and relationships.
Findings
Derived Binet formula for Tribonacci-Lucas polynomials
Established summation and binomial sum formulas
Developed generating functions for these polynomials
Abstract
In this paper, we investigated properties of Tribonacci-Lucas polynomials which generalized Tribonacci-Lucas numbers. From this generalization, we also obtain some new algebraic properties on these numbers and polynomials as Binet formula, summation, binomial sum and generating function.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Theories · Advanced Mathematical Identities