On the Fibonacci quaternion sequence with quadruple-produce components
DOI:
https://doi.org/10.12697/ACUTM.2021.25.11Keywords:
fibonacci numbers, golden ratio, quaternion, generating function, exponential generating function, series, binomial sumAbstract
This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given. Along with these, its series and binomial sum formula are established.
