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 × Cite Format Result Cite Review PDF Full Text: DOI
Ganie, Abdul Hamid; ŏzkan, Engin; Uysal, Mine; Akhter, Afroza On new polynomial sequences constructed to each vertex in an \(n\)-gon. (English) Zbl 1490.11023 Discrete Dyn. Nat. Soc. 2022, Article ID 2910678, 13 p. (2022). MSC: 11B39 11B37 11B83 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 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 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
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