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math.NT2019★ 24 cited
Simson Identity of Generalized m-step Fibonacci Numbers
Yüksel Soykan
One of the best known and oldest identities for the Fibonacci sequence is which was derived first by R. Simson in 1753 and it is now called as…
math.NT2019★ 3 cited
Gaussian Generalized Tetranacci Numbers
Yüksel Soykan
In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their propertie…
math.NT2018
Tribonacci and Tribonacci-Lucas Matrix Sequences with Negative Subscripts
Yüksel Soykan
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences with negative indices and investigate their properties.
math.NT2018
Matrix Sequences of Tribonacci and Tribonacci-Lucas Numbers
Yüksel Soykan
In this paper, we define Tribonacci and Tribonacci-Lucas matrix sequences and investigate their properties.