Soykan, Yüksel A study on generalized Fibonacci polynomials: sum formulas. (English) Zbl 1504.11035 Int. J. Adv. Appl. Math. Mech. 10, No. 1, 39-118 (2022). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel Generalized Edouard numbers. (English) Zbl 1504.11028 Int. J. Adv. Appl. Math. Mech. 9, No. 3, 41-52 (2022). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel Sums and partial sums of Horadam sequences: the sum formulas \(\Sigma^n_{k=0} x^kW_k\) and \(\Sigma^{n+m}_{k=n} x^kW_k\) via generating functions. (English) Zbl 1504.11027 Int. J. Adv. Appl. Math. Mech. 9, No. 3, 33-40 (2022). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel On binomial transform of the generalized Tetranacci sequence. (English) Zbl 1504.11025 Int. J. Adv. Appl. Math. Mech. 9, No. 2, 8-27 (2021). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel Sum formulas of generalized Pentanacci numbers: closed forms of the sum formulas \(\Sigma^n_{k=0} kW_k\) and \(\Sigma^n_{k=1}KW_{-k}\). (English) Zbl 1504.11023 Int. J. Adv. Appl. Math. Mech. 8, No. 4, 1-14 (2021). MSC: 11B37 11B39 11B83 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel On generalized 4-primes numbers. (English) Zbl 1465.11070 Int. J. Adv. Appl. Math. Mech. 7, No. 4, 20-33 (2020). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel Generalized tribonacci numbers: summing formulas. (English) Zbl 1465.11069 Int. J. Adv. Appl. Math. Mech. 7, No. 3, 57-76 (2020). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel On generalized Narayana numbers. (English) Zbl 1465.11068 Int. J. Adv. Appl. Math. Mech. 7, No. 3, 43-56 (2020). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel On binomial transform of the generalized reverse 3-primes sequence. (English) Zbl 1465.11065 Int. J. Adv. Appl. Math. Mech. 8, No. 2, 35-53 (2020). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel Matrix sequences of tetranacci and Tetranacci-Lucas numbers. (English) Zbl 1465.11067 Int. J. Adv. Appl. Math. Mech. 7, No. 2, 57-69 (2019). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Soykan, Yüksel Simson identity of generalized \(m\)-step Fibonacci numbers. (English) Zbl 1465.11066 Int. J. Adv. Appl. Math. Mech. 7, No. 2, 45-56 (2019). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: arXiv Link