Open AccessOn Generalized Third-Order Jacobsthal Numbers
Author(s) -
Evren Eyican Polatlı,
Yüksel Soykan
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i230270
Subject(s) - third order , order (exchange) , mathematics , algebra over a field , pure mathematics , philosophy , theology , finance , economics
In this paper, we investigate the generalized third order Jacobsthal sequences and we deal with, in detail, four special cases, namely, third order Jacobsthal, third order Jacobsthal-Lucas, modified third order Jacobsthal, third order Jacobsthal Perrin sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.