This analysis demonstrates a golden-like ratio in Fibonacci quaternions, suggesting new identities and functions.
This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ra- tio 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.
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Dişkaya et al. (2021) studied this question.
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