Abstract:
The purpose of this paper is to provide a broad overview of the
generalization of the various dualcomplex number sequences, especially in
the disciplines of mathematics and physics. By the help of dual numbers and
dualcomplex numbers, in this paper, we deÖne the dualcomplex generalized kHoradam numbers. Furthermore, we investigate the Binet formula,
generating function, some conjugation identities, summation formula and a
theorem which is generalization of the Catalanís identity, Cassiniís identity
and díOcagneís ident
