This study provides a broad overview of the generalization of the various quaternions,especially in the context of its enhancing importance in the disciplines of mathematics and physics. By the help of bicomplex ...

The purpose of this study is to obtain a new generalized quaternions sequences byusing hyperbolic functions with second order recurrence sequences. First of all, we define thesymmetrical second order hyperbolicsineand the ...

The purpose of this paper is to provide a broad overview of thegeneralization of the various dual-complex number sequences, especially inthe disciplines of mathematics and physics. By the help of dual numbers and dual-complex ...

It is shown that the following (k + l)-order nonlinear difference equation xn = xn−kxn−k−l xn−l (an + bnxn−kxn−k−l) , n ∈ N0, where k, l ∈ N, (an)n∈N0 , (bn)n∈N0 and the initial values x−i, i = 1, k + l, are real ...