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
Uygun, Sukran The binomial transforms of the generalized \((s,t)\)-Jacobsthal matrix sequence. (English) Zbl 1469.15018 Int. J. Adv. Appl. Math. Mech. 6, No. 3, 14-20 (2019). MSC: 15A24 11B39 15B36 × Cite Format Result Cite Review PDF Full Text: Link
Altıntaş, Ismet; Taşköprü, Kemal; Beyaztaş, Merve Bracket polynomials of torus links as Fibonacci polynomials. (English) Zbl 1470.57003 Int. J. Adv. Appl. Math. Mech. 5, No. 3, 35-43 (2018). MSC: 57K10 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Gökbaş, Hasan; Köse, Hasan Some sum formulas for products of Pell and Pell-Lucas numbers. (English) Zbl 1393.11010 Int. J. Adv. Appl. Math. Mech. 4, No. 4, 1-4 (2017). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Jafari-Petroudi, Seyyed Hossein; Pirouz, Maryam On the bounds for the spectral norm of particular matrices with Fibonacci and Lucas numbers. (On the bounds for the spetral norm of particular matrices with Fibonacci and Lucas numbers.) (English) Zbl 1367.15007 Int. J. Adv. Appl. Math. Mech. 3, No. 4, 82-90 (2016). MSC: 15A15 11B39 × Cite Format Result Cite Review PDF Full Text: Link
Jafari-Petroudi, Seyyed Hossein; Pirouz, Behzad On some properties of \((k,h)\)-Pell sequence and \((k,h)\)-Pell-Lucas sequence. (On some properties of \((k,h)\)-Pell sequence and \((k,h)\)-Pell-Lucass sequence.) (English) Zbl 1359.11019 Int. J. Adv. Appl. Math. Mech. 3, No. 1, 98-101 (2015). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Godase, A. D.; Dhakne, M. B. On the properties of generalized multiplicative coupled Fibonacci sequence of \(r^{th}\) order. (English) Zbl 1359.11018 Int. J. Adv. Appl. Math. Mech. 2, No. 3, 252-257 (2015). MSC: 11B39 11B37 × Cite Format Result Cite Review PDF Full Text: Link
Godase, A. D.; Dhakne, M. B. On the properties of generalized Fibonacci like polynomials. (English) Zbl 1359.11017 Int. J. Adv. Appl. Math. Mech. 2, No. 3, 234-251 (2015). MSC: 11B39 11B83 × Cite Format Result Cite Review PDF Full Text: Link
Godase, A. D.; Dhakne, M. B. On the properties of \(k\)-Fibonacci and \(k\)-Lucas numbers. (English) Zbl 1359.11016 Int. J. Adv. Appl. Math. Mech. 2, No. 1, 100-106 (2014). MSC: 11B39 × Cite Format Result Cite Review PDF Full Text: Link