Closed formulas for the sums of squares of generalized Fibonacci numbers

Y Soykan - Asian Journal of Advanced Research and …, 2020 - info.submit4journal.com
In this paper, closed forms of the sum formulas for the squares of generalized Fibonacci
numbers are presented. As special cases, we give summation formulas of Fibonacci, Lucas …

Explicit euclidean norm, eigenvalues, spectral norm and determinant of circulant matrix with the generalized tribonacci numbers

Y Soykan - Earthline Journal of Mathematical Sciences, 2021 - earthlinepublishers.com
In this paper, we obtain explicit Euclidean norm, eigenvalues, spectral norm and
determinant of circulant matrix with the generalized Tribonacci (generalized (r, s, t)) …

On the Sums of Squares of Generalized Tribonacci Numbers: Closed Formulas of Σn k= 0 xkW2

Y Soykan - Archives of Current Research International, 2020 - archives.articleproms.com
In this paper, closed forms of the sum formulas Σn k= 0 xkW2 k; Σn k= 0 xk Σ Wk+ 1Wk and
nk= 0 xkWk+ 2Wk for the squares of generalized Tribonacci numbers are presented. As …

[PDF][PDF] A note on sum formulas and of generalized Hexanacci numbers

Y Soykan, E Taşdemir, T Erdoğan Taşdemir - Journal of Mahani Mathematical …, 2023 - sid.ir
Archive of SID.ir Archive of SID.ir Page 1 A NOTE ON SUM FORMULAS ∑ n k=0 kxkWk AND ∑
n k=1 kxkW−k OF GENERALIZED HEXANACCI NUMBERS Y. Soykan , E. Tasdemir , and TE …

[PDF][PDF] On k-circulant matrices with the generalized third-order Pell numbers

Y Soykan - Notes on Number Theory and Discrete Mathematics, 2021 - nntdm.net
In this paper, we obtain explicit forms of the sum of entries, the maximum column sum matrix
norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of …

A Study on the Sums of Squares of Generalized Fibonacci Numbers: Closed Forms of the Sum Formulas Σn k= 0 kxkW2 k and Σn k= 1 kxkW2-k

Y Soykan - Asian Journal of Advanced Research and Reports, 2020 - eprints.ditdo.in
In this paper, closed forms of the sum formulas Σn k= 0 kxkW2 k and Σn k= 1 kxkW2-k for the
squares of generalized Fibonacci numbers are presented. As special cases, we give sum …

[PDF][PDF] On the bounds for the spectral norms of geometric circulant matrices with generalized Jacobsthal and Jacobsthal Lucas numbers

Ş Uygun - Montes Taurus Journal of Pure and Applied …, 2022 - mtjpamjournal.com
The study is about the different norms of geometric circulant matrices with the sequences
called (s, t)-Jacobsthal,(s, t)-Jacobsthal Lucas and hyperharmonic Jacobsthal numbers. In …

On the Norms and Eigenvalues of-Circulant Matrices with-Mersenne and-Mersenne–Lucas Numbers

M Kumari, K Prasad, E Özkan, J Tanti - Mathematical Notes, 2023 - Springer
In this work, we study the-circulant matrix such that the entries of are or, where and are-
Mersenne and-Mersenne–Lucas numbers, respectively. We obtain the eigenvalues and …

On the bounds for the spectral norms of geometric and r-circulant matrices with bi-periodic Jacobsthal numbers

S UYGUN, H AYTAR - Journal of applied mathematics & …, 2020 - koreascience.kr
The study is about the bounds of the spectral norms of r-circulant and geometric circulant
matrices with the sequences called biperiodic Jacobsthal numbers. Then we give bounds for …

A note on k-circulant matrices with the generalized third-order Jacobsthal numbers

Y Soykan, E Taşdemir - Advanced Studies: Euro-Tbilisi …, 2024 - projecteuclid.org
In this study, we obtain explicit forms of the sum of entries, the maximum column sum matrix
norm, the maximum row sum matrix norm, Euclidean norm, eigenvalues and determinant of …