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 07708004 J. Mahani Math. Res. Cent. 12, No. 2, 137-164 (2023). MSC: 11B37 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan} et al., J. Mahani Math. Res. Cent. 12, No. 2, 137--164 (2023; Zbl 07708004) 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 PDF BibTeX XML Cite \textit{A. H. Ganie} et al., Discrete Dyn. Nat. Soc. 2022, Article ID 2910678, 13 p. (2022; Zbl 1490.11023) Full Text: DOI
Solmaz, Tuğçe; Bahşi, Mustafa Max and min matrices with hyper-Fibonacci numbers. (English) Zbl 1491.15035 Asian-Eur. J. Math. 15, No. 5, Article ID 2250084, 13 p. (2022). MSC: 15B36 11C20 11B39 PDF BibTeX XML Cite \textit{T. Solmaz} and \textit{M. Bahşi}, Asian-Eur. J. Math. 15, No. 5, Article ID 2250084, 13 p. (2022; Zbl 1491.15035) Full Text: DOI
Yilmaz, Nazmiye Split complex bi-periodic Fibonacci and Lucas numbers. (English) Zbl 1491.11026 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 71, No. 1, 153-164 (2022). MSC: 11B39 17A45 PDF BibTeX XML Cite \textit{N. Yilmaz}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 71, No. 1, 153--164 (2022; Zbl 1491.11026) Full Text: DOI
Puangjumpa, Piyanut Some \(k\)-Fibonacci and \(k\)-Lucas identities by a matrix approach with applications. (English) Zbl 1511.11021 Thai J. Math. 20, No. 1, 417-423 (2022). MSC: 11B39 11D09 PDF BibTeX XML Cite \textit{P. Puangjumpa}, Thai J. Math. 20, No. 1, 417--423 (2022; Zbl 1511.11021) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 3, 9--23 (2021; Zbl 1504.11022) Full Text: Link
Özkan, Engin; Yilmaz, Nur Şeyma; Włoch, Andrzej On \(F_3(k,n)\)-numbers of the Fibonacci type. (English) Zbl 1476.11033 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 77, 18 p. (2021). MSC: 11B39 11B65 PDF BibTeX XML Cite \textit{E. Özkan} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 77, 18 p. (2021; Zbl 1476.11033) Full Text: DOI
Cerda-Morales, Gamaliel An interesting generalized Fibonacci sequence: a two-by-two matrix representation. (English) Zbl 1488.11036 Afr. Mat. 32, No. 5-6, 695-705 (2021). MSC: 11B39 40C05 PDF BibTeX XML Cite \textit{G. Cerda-Morales}, Afr. Mat. 32, No. 5--6, 695--705 (2021; Zbl 1488.11036) Full Text: DOI
Srivastava, Hari Mohan; Arjika, Sama Generating functions for some families of the generalized Al-Salam-Carlitz \(q\)-polynomials. (English) Zbl 1486.33022 Adv. Difference Equ. 2020, Paper No. 498, 16 p. (2020). MSC: 33D15 33D05 33D45 05A30 11B65 PDF BibTeX XML Cite \textit{H. M. Srivastava} and \textit{S. Arjika}, Adv. Difference Equ. 2020, Paper No. 498, 16 p. (2020; Zbl 1486.33022) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 4-primes numbers. (English) Zbl 1465.11070 Int. J. Adv. Appl. Math. Mech. 7, No. 4, 20-33 (2020). MSC: 11B39 11B83 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 4, 20--33 (2020; Zbl 1465.11070) 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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 3, 57--76 (2020; Zbl 1465.11069) 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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 3, 43--56 (2020; Zbl 1465.11068) 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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 2, 35--53 (2020; Zbl 1465.11065) 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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 8, No. 1, 1--14 (2020; Zbl 1465.11063) 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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 2, 57--69 (2019; Zbl 1465.11067) 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 PDF BibTeX XML Cite \textit{Y. Soykan}, Int. J. Adv. Appl. Math. Mech. 7, No. 2, 45--56 (2019; Zbl 1465.11066) Full Text: arXiv Link
Godase, A. D. Properties of \(k\)-Fibonacci and \(k\)-Lucas octonions. (English) Zbl 1448.11034 Indian J. Pure Appl. Math. 50, No. 4, 979-998 (2019). MSC: 11B39 PDF BibTeX XML Cite \textit{A. D. Godase}, Indian J. Pure Appl. Math. 50, No. 4, 979--998 (2019; Zbl 1448.11034) Full Text: DOI
Birol, Furkan; Koruoğlu, Özden; Sahin, Recep; Demir, Bilal Generalized Pell sequences related to the extended generalized Hecke groups \({\overline{H}}_{3,q}\) and an application to the group \({\overline{H}}_{3,3}\). (English) Zbl 1423.20059 Honam Math. J. 41, No. 1, 197-206 (2019). MSC: 20H10 11F06 11B39 PDF BibTeX XML Cite \textit{F. Birol} et al., Honam Math. J. 41, No. 1, 197--206 (2019; Zbl 1423.20059) Full Text: DOI
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 PDF BibTeX XML Cite \textit{I. Altıntaş} et al., Int. J. Adv. Appl. Math. Mech. 5, No. 3, 35--43 (2018; Zbl 1470.57003) Full Text: Link