Trigonometric Factorizations of the Pell and Jacobsthal Sequences

The Pell and Jacobsthal numbers have inspired many studies in mathematics, especially in number theory. In this paper, we derive the trigonometric factorizations of the Pell and Jacobsthal sequences by using determinants of two specific new tridiagonal matrices and the roots of the Chebyshev polynomial of the second kind. Furthermore, we provide two Maple procedures to calculate the trigonometric factorizations of these integer sequences.

Authors

Ahmet Öteleş (ORCID: https://orcid.org/0000-0002-6281-6780)

Institutions

Dicle University (TR)

Publication Details

Journal: Journal of New Theory
Published: 2025-03-28
DOI: https://doi.org/10.53570/jnt.1644461
Primary Topic: Advanced Mathematical Theories and Applications
Type: article
Field-Weighted Citation Impact: 0.00

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article

Trigonometric Factorizations of the Pell and Jacobsthal Sequences

Ahmet Öteleş

Mar 28, 2025

Journal of New Theory

Advanced Mathematical Theories and Applications

article

Trigonometric Factorizations of the Pell and Jacobsthal Sequences

Ahmet Öteleş

March 28, 2025article en

Abstract

Journal of New Theory(50)

Dicle University (TR)

Openalex Percentile: Top 95%

Advanced Mathematical Theories and Applications

DOI Open Access PDF OpenAlex

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Trigonometric Factorizations of the Pell and Jacobsthal Sequences — Ahmet Öteleş · Journal of New Theory (2025) | TGRS Research Map | TGRS