On Mersenne Numbers and their Bihyperbolic Generalizations

[1] M. Bilgin and S. Ersoy, Algebraic properties of bihyperbolic numbers, Adv. Appl. Clifford Algebr. 30 (2020), no. 1, Paper No. 13, 17 pp. DOI: 10.1007/s00006-019-1036-2 BilginM. ErsoyS. Algebraic properties of bihyperbolic numbers Adv. Appl. Clifford Algebr. 30 2020 1 Paper No. 13 17 10.1007/s00006-019-1036-2 Open DOISearch in Google Scholar

[2] A. Boussayoud, M. Chelgham, and S. Boughaba, On some identities and generating functions for Mersenne numbers and polynomials, Turkish Journal of Analysis and Number Theory 6 (2018), no. 3, 93–97. BoussayoudA. ChelghamM. BoughabaS. On some identities and generating functions for Mersenne numbers and polynomials Turkish Journal of Analysis and Number Theory 6 2018 3 93 97 Search in Google Scholar

[3] P. Catarino, H. Campos, and P. Vasco, On the Mersenne sequence, Ann. Math. Inform. 46 (2016), 37–53. CatarinoP. CamposH. VascoP. On the Mersenne sequence Ann. Math. Inform. 46 2016 37 53 Search in Google Scholar

[4] M. Chelgham and A. Boussayoud, On the k-Mersenne–Lucas numbers, Notes Number Theory Discrete Math. 27 (2021), no. 1, 7–13. DOI: 10.7546/nntdm.2021.27.1.7-13 ChelghamM. BoussayoudA. On the k-Mersenne–Lucas numbers Notes Number Theory Discrete Math. 27 2021 1 7 13 10.7546/nntdm.2021.27.1.7-13 Open DOISearch in Google Scholar

[5] A. Daşdemir and G. Bilgici, Gaussian Mersenne numbers and generalized Mersenne quaternions, Notes Number Theory Discrete Math. 25 (2019), no. 3, 87–96. DOI: 10.7546/nntdm.2019.25.3.87-96 Daşdemir A. BilgiciG. Gaussian Mersenne numbers and generalized Mersenne quaternions Notes Number Theory Discrete Math. 25 2019 3 87 96 10.7546/nntdm.2019.25.3.87-96 Open DOISearch in Google Scholar

[6] R. Frontczak and T. Goy, Mersenne–Horadam identities using generating functions, Carpathian Math. Publ. 12 (2020), no. 1, 34–45. DOI: 10.15330/cmp.12.1.34-45 FrontczakR. GoyT. Mersenne–Horadam identities using generating functions Carpathian Math. Publ. 12 2020 1 34 45 10.15330/cmp.12.1.34-45 Open DOISearch in Google Scholar

[7] T. Goy, On new identities for Mersenne numbers, Appl. Math. E-Notes 18 (2018), 100–105. GoyT. On new identities for Mersenne numbers Appl. Math. E-Notes 18 2018 100 105 Search in Google Scholar

[8] P. Ochalik and A. Włoch, On generalized Mersenne numbers their interpretations and matrix generators, Ann. Univ. Mariae Curie-Skłodowska Sect. A 72 (2018), no. 1, 69–76. DOI: 10.17951/a.2018.72.1.69-76 OchalikP. WłochA. On generalized Mersenne numbers their interpretations and matrix generators Ann. Univ. Mariae Curie-Skłodowska Sect. A 72 2018 1 69 76 10.17951/a.2018.72.1.69-76 Open DOISearch in Google Scholar

[9] N. Saba, A. Boussayoud, and K.V.V. Kanuri, Mersenne Lucas numbers and complete homogeneous symmetric functions, J. Math. Computer Sci. 24 (2022), no. 2, 127–139. DOI: 10.22436/jmcs.024.02.04 SabaN. BoussayoudA. KanuriK.V.V. Mersenne Lucas numbers and complete homogeneous symmetric functions J. Math. Computer Sci. 24 2022 2 127 139 10.22436/jmcs.024.02.04 Open DOISearch in Google Scholar

[10] Y. Soykan, A study on generalized Mersenne numbers, Journal of Progressive Research in Mathematics 18 (2021), no. 3, 90–108. SoykanY. A study on generalized Mersenne numbers Journal of Progressive Research in Mathematics 18 2021 3 90 108 Search in Google Scholar

[11] A. Szynal-Liana and I. Włoch, On generalized Mersenne hybrid numbers, Ann. Univ. Mariae Curie-Skłodowska Sect. A 74 (2020), no. 1, 77–84. DOI: 10.17951/a.2020.74.1.77-84 Szynal-LianaA. WłochI. On generalized Mersenne hybrid numbers Ann. Univ. Mariae Curie-Skłodowska Sect. A 74 2020 1 77 84 10.17951/a.2020.74.1.77-84 Open DOISearch in Google Scholar