2016/11/23 by Halıcı, Serpil
#11B37 #11B39 #11B83 #11R52 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1611.07660
In this study, we introduce a new classes of quaternion numbers. We show that this new classes quaternion numbers include all of quaternion numbers such as Fibonacci, Lucas, Pell, Jacobsthal, Pell-Lucas, Jacobsthal-Lucas quaternions have been studied by many authors. Moreover, for this newly defined quaternion numbers we give the generating function, norm value, Cassini identity, summation formula and their some properties.