Matrix Representation of Bi-Periodic Pell Sequence

Author(s):

Sukran UYGUN , Ersen Akıncı

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this study, a generalization of the Pell sequence called bi-periodic Pell sequence is carried out to matrix theory. Therefore, we call this matrix sequence the bi-periodic Pell matrix sequence whose entries are bi-periodic Pell numbers. Then the generating function, Binet formula and some basic properties and sum formulas are examined.

Keywords:

Pell Sequence , Generating Function , Binet Formula

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:12 Issue: 2, Summer and Autumn 2023
Pages:
565 to 583
https://www.magiran.com/p2583809