Binomial Transform for Quadra Fibona-Pell Sequence and Quadra Fibona-Pell Quaternion

Autor:	ÖZKOÇ, Arzu, GÜNDÜZ, Eda
Rok vydání:	2022
Předmět:	Matematik Fibonacci sequence Pell sequence Binomial transform General Medicine Mathematics
Zdroj:	Volume: 5, Issue: 4 145-155 Universal Journal of Mathematics and Applications
ISSN:	2619-9653
DOI:	10.32323/ujma.1207852
Popis:	The main object of the study is to consider the binomial transform for quadra Fibona-Pell sequence and quadra Fibona-Pell quaternion. In the paper, which consists of two parts in terms of the results found, the first step was taken for the sequence by defining the binomial transform for the quadra Fibona-Pell sequence in the first part and then finding the recurrence relation of this new binomial transform. Then, the Binet formula, generating function and various sum formulas of the sequence were found. In the second part, the binomial transform is applied for the quadra Fibona-Pell quaternion, which was discussed in a thesis before. Similar results in the first section are covered in the quaternion binomial transform.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::817d749c53fd3ebaf58b424278908a47 https://doi.org/10.32323/ujma.1207852 Zobrazit plný text záznamu