SOME BICOMPLEX SEQUENCES AND THEIR PROPERTIES

Abstract

The Bicomplex Numbers are the second-order multicomplex generalization of complex numbers. When they are equipped with standard addition and multiplication they form a commutative algebraic structure The idea of using a higher dimensional algebra than that of complex numbers to develop forth dimension tools, in order to respond to needs in physics and aeronotics fields. We are interested in a particular type of sequences, very usful and which gives results in applied mathematics filds, the linear recurrent sequences, specially the Fibonacci sequences and their generalizations