The Hybrid Numbers of Padovan and Some Identities
References
- [1] J. Aarts, R. Fokkink, and G. Kruijtzer, Morphic numbers, Nieuw Arch. Wiskd. (5) 2 (2001), no. 1, 56–58.
- [2] P. Catarino, On k-Pell hybrid numbers, J. Discrete Math. Sci. Cryptogr. 22 (2019), no. 1, 83–89.10.1080/09720529.2019.1569822
- [3] G. Cerda-Morales, Investigation of generalized hybrid Fibonacci numbers and their properties, arXiv preprint (2018). Avaliable at arXiv:1806.02231.
- [4] R. de C. Ferreira, Números Mórficos, Dissertação (Mestrado Profissional em Mate-mática), Universidade Federal da Paraíba, João Pessoa, 2015.
- [5] C. Kızılateş, A new generalization of Fibonacci hybrid and Lucas hybrid numbers, Chaos Solitons Fractals 130 (2020), 109449, 5pp.10.1016/j.chaos.2019.109449
- [6] T. Koshy, Fibonacci and Lucas Numbers with Applications, Wiley–Interscience, New York, 2001.10.1002/9781118033067
- [7] M. Özdemir, Introducion to hybrid numbers, Adv. Appl. Clifford Algebr. 28 (2018), no. 1, Paper No. 11, 32 pp.10.1007/s00006-018-0833-3
- [8] I. Stewart, Tales of a neglected number, Sci. Amer. 274 (1996), no. 6, 102–103.10.1038/scientificamerican0696-102
- [9] A. Szynal-Liana, The Horadam hybrid numbers, Discuss. Math. Gen. Algebra Appl. 38 (2018), no. 1, 91–98.10.7151/dmgaa.1287
- [10] A. Szynal-Liana and I. Włoch, On Pell and Pell-Lucas hybrid numbers, Comment. Math. 58 (2018), no. 1–2, 11–17.10.14708/cm.v58i1-2.6364
- [11] A. Szynal-Liana and I. Włoch, On Jacobsthal and Jacobsthal-Lucas hybrid numbers, Ann. Math. Sil. 33 (2019), no. 1, 276–283.10.2478/amsil-2018-0009
- [12] R.P.M. Vieira and F.R.V. Alves, Propriedades das extensões da Sequência de Padovan, C.Q.D. Revista Eletrônica Paulista de Matemática, Bauru 15 (2019), 24–40.10.21167/cqdvol15ic201923169664rpmvfrva2440
Language: English
Page range: 256 - 267
Submitted on: Oct 14, 2019
Accepted on: Jun 28, 2020
Published on: Jul 16, 2020
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Related subjects:
© 2020 Milena Carolina dos Santos Mangueira, Renata Passos Machado Vieira, Francisco Régis Vieira Alves, Paula Maria Machado Cruz Catarino, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.