Kuloğlu, Bahar; Özkan, Engin Hyperbolic functions obtained from \(k\)-Pell sequences. (English) Zbl 07822267 Afr. Mat. 35, No. 1, Paper No. 22, 12 p. (2024). MSC: 11B37 11B39 11B83 PDFBibTeX XMLCite \textit{B. Kuloğlu} and \textit{E. Özkan}, Afr. Mat. 35, No. 1, Paper No. 22, 12 p. (2024; Zbl 07822267) Full Text: DOI
Kuloğlu, Bahar; Özkan, Engin Hyperbolic functions obtained from \(k\)-Jacobsthal sequences. (English) Zbl 1523.11034 Asian-Eur. J. Math. 15, No. 9, Article ID 2250178, 14 p. (2022). MSC: 11B39 PDFBibTeX XMLCite \textit{B. Kuloğlu} and \textit{E. Özkan}, Asian-Eur. J. Math. 15, No. 9, Article ID 2250178, 14 p. (2022; Zbl 1523.11034) Full Text: DOI
Catarino, Paula; Alves, Francisco R. V.; Campos, Helena On hyper \(k\)-Pell, hyper \(k\)-Pell-Lucas and hyper modified \(k\)-Pell sequences. (English) Zbl 1497.11036 Integers 22, Paper A60, 14 p. (2022). MSC: 11B39 PDFBibTeX XMLCite \textit{P. Catarino} et al., Integers 22, Paper A60, 14 p. (2022; Zbl 1497.11036) Full Text: Link
Bród, Dorota; Szynal-Liana, Anetta; Włoch, Iwona One-parameter generalization of dual-hyperbolic Pell numbers. (English) Zbl 1489.11024 Math. Slovaca 72, No. 2, 527-537 (2022). MSC: 11B39 PDFBibTeX XMLCite \textit{D. Bród} et al., Math. Slovaca 72, No. 2, 527--537 (2022; Zbl 1489.11024) Full Text: DOI
Altınkaya, Şahsene; Kara, Yeliz; Sağlam Özkan, Yeşim Some properties of starlike functions subordinate to \(k\)-Pell-Lucas numbers. (English) Zbl 1482.30027 Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 72, 8 p. (2021). MSC: 30C45 30C80 30C50 PDFBibTeX XMLCite \textit{Ş. Altınkaya} et al., Bol. Soc. Mat. Mex., III. Ser. 27, No. 3, Paper No. 72, 8 p. (2021; Zbl 1482.30027) Full Text: DOI
Yağmur, Tülay A note on hyperbolic \((p,q)\)-Fibonacci quaternions. (English) Zbl 1489.11033 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 880-890 (2020). MSC: 11B39 16H05 PDFBibTeX XMLCite \textit{T. Yağmur}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 880--890 (2020; Zbl 1489.11033) Full Text: DOI
Bród, Dorota; Szynal-Liana, Anetta On some combinatorial properties of \(P(r,n)\)-Pell quaternions. (English) Zbl 1475.11212 Tatra Mt. Math. Publ. 77, 1-12 (2020). MSC: 11B39 PDFBibTeX XMLCite \textit{D. Bród} and \textit{A. Szynal-Liana}, Tatra Mt. Math. Publ. 77, 1--12 (2020; Zbl 1475.11212) Full Text: DOI
Catarino, Paula On \(k\)-Pell hybrid numbers. (English) Zbl 1496.11022 J. Discrete Math. Sci. Cryptography 22, No. 1, 83-89 (2019). MSC: 11B39 PDFBibTeX XMLCite \textit{P. Catarino}, J. Discrete Math. Sci. Cryptography 22, No. 1, 83--89 (2019; Zbl 1496.11022) 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 PDFBibTeX XMLCite \textit{F. Birol} et al., Honam Math. J. 41, No. 1, 197--206 (2019; Zbl 1423.20059) Full Text: DOI
Bród, Dorota On a new one parameter generalization of Pell numbers. (English) Zbl 1470.11022 Ann. Math. Sil. 33, 66-76 (2019). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{D. Bród}, Ann. Math. Sil. 33, 66--76 (2019; Zbl 1470.11022) Full Text: DOI
Boussayoud, Ali; Boughaba, Souhila; Kerada, Mohamed; Araci, Serkan; Acikgoz, Mehmet Generating functions of binary products of \(k\)-Fibonacci and orthogonal polynomials. (English) Zbl 1432.05009 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2575-2586 (2019). Reviewer: Arthur L. B. Yang (Tianjin) MSC: 05A15 05E05 11B39 PDFBibTeX XMLCite \textit{A. Boussayoud} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 3, 2575--2586 (2019; Zbl 1432.05009) Full Text: DOI
Daşdemir, Ahmet A note on the generalized order-\(k\) modified Pell and Pell-Lucas numbers. (English) Zbl 1448.11031 Palest. J. Math. 8, No. 2, 45-52 (2019). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B39 15A24 PDFBibTeX XMLCite \textit{A. Daşdemir}, Palest. J. Math. 8, No. 2, 45--52 (2019; Zbl 1448.11031) Full Text: Link
Catarino, Paula Bicomplex \(k\)-Pell quaternions. (English) Zbl 1465.11055 Comput. Methods Funct. Theory 19, No. 1, 65-76 (2019). MSC: 11B39 PDFBibTeX XMLCite \textit{P. Catarino}, Comput. Methods Funct. Theory 19, No. 1, 65--76 (2019; Zbl 1465.11055) Full Text: DOI
Catarino, Paula \(k\)-Pell, \(k\)-Pell-Lucas and modified \(k\)-Pell sedenions. (English) Zbl 1411.11011 Asian-Eur. J. Math. 12, No. 2, Article ID 1950018, 10 p. (2019). MSC: 11B37 11R52 05A15 PDFBibTeX XMLCite \textit{P. Catarino}, Asian-Eur. J. Math. 12, No. 2, Article ID 1950018, 10 p. (2019; Zbl 1411.11011) Full Text: DOI
Boussayoud, Ali; Boughaba, Souhilas On some identities and generating functions for \(k\)-Pell sequences and Chebychev polynomials. (English) Zbl 1407.05240 Online J. Anal. Comb. 14, Article 3, 13 p. (2019). MSC: 05E05 05A15 11B39 PDFBibTeX XMLCite \textit{A. Boussayoud} and \textit{S. Boughaba}, Online J. Anal. Comb. 14, Article 3, 13 p. (2019; Zbl 1407.05240) Full Text: Link
Szynal-Liana, Anetta; Włoch, Iwona On Pell and Pell-Lucas hybrid numbers. (English) Zbl 1416.11030 Commentat. Math. 58, No. 1-2, 11-17 (2018). MSC: 11B39 11B37 PDFBibTeX XMLCite \textit{A. Szynal-Liana} and \textit{I. Włoch}, Commentat. Math. 58, No. 1--2, 11--17 (2018; Zbl 1416.11030) Full Text: DOI
da Silva, Robson; de Oliveira, Kelvin Souza; da Graça Neto, Almir Cunha On a four-parameter generalization of some special sequences. (English) Zbl 1439.11039 Discrete Appl. Math. 243, 154-171 (2018). MSC: 11B37 11B39 05A10 05A19 PDFBibTeX XMLCite \textit{R. da Silva} et al., Discrete Appl. Math. 243, 154--171 (2018; Zbl 1439.11039) Full Text: DOI arXiv
Uslu, Kemal; Deniz, Vural Some identities of \(k\)-Mersenne numbers. (English) Zbl 1499.11028 Adv. Appl. Discrete Math. 18, No. 4, 413-423 (2017). MSC: 11A51 PDFBibTeX XMLCite \textit{K. Uslu} and \textit{V. Deniz}, Adv. Appl. Discrete Math. 18, No. 4, 413--423 (2017; Zbl 1499.11028) Full Text: DOI
Catarino, Paula The modified Pell and the modified \(k\)-Pell quaternions and octonions. (English) Zbl 1380.11010 Adv. Appl. Clifford Algebr. 26, No. 2, 577-590 (2016). MSC: 11B39 05A15 PDFBibTeX XMLCite \textit{P. Catarino}, Adv. Appl. Clifford Algebr. 26, No. 2, 577--590 (2016; Zbl 1380.11010) Full Text: DOI
Bednarz, Urszula; Włoch, Iwona; Wołowiec-Musiał, Małgorzata Total graph interpretation of the numbers of the Fibonacci type. (English) Zbl 1347.05058 J. Appl. Math. 2015, Article ID 837917, 7 p. (2015). MSC: 05C15 05C38 05C05 11B39 PDFBibTeX XMLCite \textit{U. Bednarz} et al., J. Appl. Math. 2015, Article ID 837917, 7 p. (2015; Zbl 1347.05058) Full Text: DOI