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A note on generalized k-Horadam sequence

- Y. Yazlik, N. Taskara
- Mathematics, Computer Science
- Comput. Math. Appl.
- 2012

TLDR

49 4

On the inverse of circulant matrix via generalized k-Horadam numbers

- Y. Yazlik, N. Taskara
- Mathematics, Computer Science
- Appl. Math. Comput.
- 1 October 2013

TLDR

27 2

On the Solutions of Difference Equation Systems with Padovan Numbers

- Y. Yazlik, D. T. Tollu, N. Taskara
- Mathematics
- 18 December 2013

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 solutions… Expand

23 2

On the solutions of two special types of Riccati difference equation via Fibonacci numbers

- D. T. Tollu, Y. Yazlik, N. Taskara
- Mathematics
- 18 June 2013

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

41 1

On the norms of an r-circulant matrix with the generalized k-Horadam numbers

- Y. Yazlik, N. Taskara
- Mathematics
- 20 August 2013

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, we… Expand

29 1

On the Sums of Powers of k-Fibonacci and k-Lucas Sequences

- Y. Yazlik, N. Yilmaz, N. Taskara
- Mathematics
- 15 January 2012

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.

8 1

On the Bi-Periodic Lucas Octonions

- N. Yilmaz, Y. Yazlik, N. Taskara
- Mathematics
- 1 June 2017

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. After… Expand

9 1

On the sum of reciprocal of generalized bi-periodic Fibonacci numbers

- Musa Basbük, Y. Yazlik
- Mathematics
- 2016

5 1

On the g-Circulant Matrix involving the Generalized k-Horadam Numbers

- N. Yilmaz, Y. Yazlik, N. Taskara
- Mathematics
- 2 March 2015

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},\ldots… Expand

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On the solutions of a max-type difference equation system

- Y. Yazlik, D. T. Tollu, N. Taskara
- Mathematics
- 30 November 2015

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 are… Expand

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