On the binomial transforms of the Horadam quaternion sequences
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Wiley
Access Rights
info:eu-repo/semantics/openAccess
Abstract
The main object of the present paper is to consider the binomial transforms for Horadam quaternion sequences. We gave new formulas for recurrence relation, generating function, Binet formula and some basic identities for the binomial sequence of Horadam quaternions. Working with Horadam quaternions, we have found the most general formula that includes all binomial transforms with recurrence relation from the second order. In the last part, we determined the recurrence relation for this new type of quaternion by working with the iterated binomial transform, which is a different type of binomial transform.
Description
Keywords
binomial transform, Horadam quaternions, iterated binomial transform, quaternion
Journal or Series
Mathematical Methods In The Applied Sciences
WoS Q Value
Q1
Scopus Q Value
Q1
