The Binomial Transforms of Tribonacci and Tribonacci-Lucas sequences
Nazmiye Yilmaz, Necati Taskara
TL;DR
This paper explores the binomial transforms of Tribonacci and Tribonacci-Lucas sequences, deriving formulas for their Binet forms, summations, and generating functions, and establishing new relations between these transforms.
Contribution
It introduces new formulas and relations for the binomial transforms of Tribonacci and Tribonacci-Lucas sequences, expanding their mathematical understanding.
Findings
Derived Binet formulas for the transforms
Established summation and generating functions
Presented new relations between the transforms
Abstract
In this study, we apply the binomial transforms to Tribonacci and Tribonacci-Lucas sequences. Also, the Binet formulas, summations, generating functions of these transforms are found using recurrence relations. Finally, we illustrate the relation between these transforms by deriving new formulas.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Fractal and DNA sequence analysis · Advanced Mathematical Identities