Dual-complex generalized k-horadam numbers

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