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A note on generalized k-Horadam sequence
TLDR
In this paper, we define generalized k-Horadam sequence {H"k","n}"n"@?"N" with determinant and prove its properties by means of determinant. Expand
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On the inverse of circulant matrix via generalized k-Horadam numbers
TLDR
In this paper, by considering the circulant matrix C"n(H)=Circ(Hk","1, H"k","2,...,H"k"n) whose entries are the generalized k-Horadam numbers, we present a new generalization to compute determinants and inverses of C" n(H). Expand
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On the Solutions of Difference Equation Systems with Padovan Numbers
In this study, we investigate the form of the solutions of the following rational difference equation systems 1 1 1 1 , n n nn x x yx      1 1 1 n n nn y y xy      such that their solutionsExpand
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On the solutions of two special types of Riccati difference equation via Fibonacci numbers
In this study, we investigate the solutions of two special types of the Riccati difference equation xn+1=11+xn and yn+1=1−1+yn such that their solutions are associated with Fibonacci numbers.MSC:Expand
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On the norms of an r-circulant matrix with the generalized k-Horadam numbers
In this paper, we present new upper and lower bounds for the spectral norm of an r-circulant matrix H=Cr(Hk,0,Hk,1,Hk,2,…,Hk,n−1) whose entries are the generalized k-Horadam numbers. Furthermore, weExpand
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On the Sums of Powers of k-Fibonacci and k-Lucas Sequences
In this study, we investigate some proporties additive of k -Fibonacci and k -Lucas sequences and obtain new identities on sums of powers these sequences.
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On the Bi-Periodic Lucas Octonions
In this manuscript, we define bi-periodic Lucas octonions by using the bi-periodic Lucas numbers. Also, we present the generating function of these octonions and some properties over them. AfterExpand
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On the g-Circulant Matrix involving the Generalized k-Horadam Numbers
In this study, we present a new generalization of circulant matrices for the generalized $k$-Horadam numbers, by considering the $g$-circulant matrix $C_{n,g}(H)=g -circ(H_{k,1},H_{k,2},\ldotsExpand
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On the solutions of a max-type difference equation system
In this paper, we study behavior of the solution of the following max-type difference equation system: where , the parameter A is positive real number, and the initial values x0,y0 areExpand
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