A study on circular-hyperbolic Fibonacci and Lucas quaternions

Year 2021, Volume: 3 Issue: 1, 7 - 14, 28.06.2021

Nazmiye Yılmaz

Abstract

We investigate some properties of circular-hyperbolic Fibonacci and Lucas quaternions ($\mathbb{CH}FLQ$ for short), we introduce their negative subscripts and obtain several combinatorial sums. Finally, we present a general summation, exponential and Poisson generating functions of the $\mathbb{CH}FLQ$.

Keywords

binomial coefficient, circular-hyperbolic Fibonacci quaternions, circular-hyperbolic Lucas quaternions, hyperbolic numbers.

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