Open AccessOn Binomial Transform of the Generalized Fifth Order Pell Sequence
Author(s) -
Yüksel Soykan
Publication year - 2021
Publication title -
asian journal of advanced research and reports
Language(s) - English
Resource type - Journals
ISSN - 2582-3248
DOI - 10.9734/ajarr/2021/v15i930423
Subject(s) - binomial coefficient , binomial (polynomial) , mathematics , sequence (biology) , binomial approximation , gaussian binomial coefficient , order (exchange) , binomial distribution , binomial theorem , negative binomial distribution , discrete mathematics , combinatorics , statistics , genetics , finance , economics , poisson distribution , biology
In this paper, we define the binomial transform of the generalized fifth order Pell sequence and as special cases, the binomial transform of the fifth order Pell and fifth order Pell-Lucas sequences will be introduced. We investigate their properties in details. We present Binet’s formulas, generating functions, Simson formulas, recurrence properties, and the summation formulas for these binomial transforms. Moreover, we give some identities and matrices related with these binomial transforms.