Soykan, Yüksel; Taşdemir, Erkan; Okumuş, İnci On dual hyperbolic numbers with generalized Jacobsthal numbers components. (English) Zbl 1521.11013 Indian J. Pure Appl. Math. 54, No. 3, 824-840 (2023). MSC: 11B39 11B83 PDFBibTeX XMLCite \textit{Y. Soykan} et al., Indian J. Pure Appl. Math. 54, No. 3, 824--840 (2023; Zbl 1521.11013) Full Text: DOI
Soykan, Y.; Taşdemir, E.; Taşdemir, T. E. A note on sum formulas \(\sum_{k=0}^nkx^kW_k\) and \(\sum_{k=1}^nkx^kW_{-k}\) of generalized Hexanacci numbers. (English) Zbl 1524.11046 J. Mahani Math. Res. Cent. 12, No. 2, 137-164 (2023). MSC: 11B39 PDFBibTeX XMLCite \textit{Y. Soykan} et al., J. Mahani Math. Res. Cent. 12, No. 2, 137--164 (2023; Zbl 1524.11046) Full Text: DOI
Soykan, Yüksel; Polatlı, Evren Eyican A study on generalized fourth-order Jacobsthal sequences. (English) Zbl 1504.11049 Int. J. Adv. Appl. Math. Mech. 9, No. 4, 34-50 (2022). MSC: 11B83 11B39 PDFBibTeX XMLCite \textit{Y. Soykan} and \textit{E. E. Polatlı}, Int. J. Adv. Appl. Math. Mech. 9, No. 4, 34--50 (2022; Zbl 1504.11049) Full Text: Link
Soykan, Yüksel On the sum of the squares of generalized Mersenne numbers: the sum formula \(\Sigma^n_{k=0} x^kW^2_{mk+ j}\). (English) Zbl 1504.11026 Int. J. Adv. Appl. Math. Mech. 9, No. 2, 28-37 (2021). MSC: 11B37 11B39 11B83 PDFBibTeX XMLCite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 9, No. 2, 28--37 (2021; Zbl 1504.11026) Full Text: Link
Soykan, Yüksel Sums of cubes of generalized Fibonacci numbers with indices in arithmetic progression: the sum formulas \(\Sigma^n_{k=0} x^kW^3_{mk+ j}\). (English) Zbl 1504.11024 Int. J. Adv. Appl. Math. Mech. 9, No. 1, 6-41 (2021). MSC: 11B37 11B39 11B83 PDFBibTeX XMLCite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 9, No. 1, 6--41 (2021; Zbl 1504.11024) Full Text: Link
Soykan, Yüksel; Polatlı, Evren Eyican Properties of generalized sixth order Jacobsthal sequence. (English) Zbl 1504.11029 Int. J. Adv. Appl. Math. Mech. 8, No. 3, 24-40 (2021). MSC: 11B37 11B83 11B39 PDFBibTeX XMLCite \textit{Y. Soykan} and \textit{E. E. Polatlı}, Int. J. Adv. Appl. Math. Mech. 8, No. 3, 24--40 (2021; Zbl 1504.11029) Full Text: Link
Soykan, Yüksel A study on sums of cubes of generalized Fibonacci numbers: closed formulas of \(\Sigma^n_{k=0} x^kW^3_k\) and \(\Sigma^n_{k=1} x^kW^3_{-k}\). (English) Zbl 1504.11022 Int. J. Adv. Appl. Math. Mech. 8, No. 3, 9-23 (2021). MSC: 11B37 11B39 11B83 PDFBibTeX XMLCite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 3, 9--23 (2021; Zbl 1504.11022) Full Text: Link
Soykan, Yüksel Horadam numbers: sum of the squares of terms of sequence. (English) Zbl 1465.11052 Int. J. Adv. Appl. Math. Mech. 7, No. 4, 34-50 (2020). MSC: 11B37 11B39 PDFBibTeX XMLCite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 4, 34--50 (2020; Zbl 1465.11052) Full Text: Link
Soykan, Yüksel On generalized tetranacci numbers. Closed form formulas of the sum \(\sum_{k=0}^n W_k^2\) of the squares of terms. (English) Zbl 1465.11064 Int. J. Adv. Appl. Math. Mech. 8, No. 1, 15-26 (2020). MSC: 11B39 PDFBibTeX XMLCite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 1, 15--26 (2020; Zbl 1465.11064) Full Text: Link
Soykan, Yüksel On generalized \((r,s)\)-numbers. (English) Zbl 1465.11063 Int. J. Adv. Appl. Math. Mech. 8, No. 1, 1-14 (2020). MSC: 11B39 11B83 PDFBibTeX XMLCite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 1, 1--14 (2020; Zbl 1465.11063) Full Text: Link