On Recursive Hyperbolic Fibonacci Quaternions

Authors : Ahmet DAŞDEMİR

Pages : 198-207

Doi:10.33434/cams.997824

View : 17 | Download : 11

Publication Date : 2021-12-27

Article Type : Research Paper

Abstract :Many quaternions with the coefficients selected from special integer sequences such as Fibonacci and Lucas sequences have been investigated by a great number of researchers. This article presents new classes of quaternions whose components are composed of symmetrical hyperbolic Fibonacci functions. In addition, the Binet`s formulas, certain generating matrices, generating functions, Cassini`s and d`Ocagne`s identities for these quaternions are given.
Keywords : Binet, Cassini, Generating Matrix, Hyperbolic Fibonacci functions, Quaternion