In this paper we define k-ordergaussianfibonaccipolynomials with boundary conditions and give the generating function, explicit formula and some identities for k-ordergaussianfibonaccipolynomials. We introduce t...
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In this paper we define k-ordergaussianfibonaccipolynomials with boundary conditions and give the generating function, explicit formula and some identities for k-ordergaussianfibonaccipolynomials. We introduce the matrix represent and we obtain the k-ordergaussianfibonaccipolynomials matrix. We define a new coding theory called k-ordergaussianfibonaccipolynomials coding theory and establish the code elements for values of k. This coding/decoding method bound to the Q(k) (x), R-k (x) and E-k,E-n (x) matrices. So, this method is different from the classical algebraic coding. Consequently, with this method, we move the coding theory onto a complex space which is a different field. Therefore, new working areas are created.
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