Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 4 Sayı: 2, 100 - 109, 01.06.2021

Renata Vieira Milena Mangueira Francisco Regis Alves Paula Maria Machado Cruz Catarino

https://doi.org/10.33401/fujma.874081
Cited By: 3

Öz

Kaynakça

  • [1] M. C. dos S. Mangueira, R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, A generalizacao da forma matricial da sequencia de Perrin, ReviSeM, 5 (1) (2020), 384-392.
  • [2] M. C. dos S. Mangueira, R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, A generalized Perrin polynomial sequence and its two-dimensional recurrences, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), in press.
  • [3] P. Seenukul, Matrices which have similar properties to Padovan q -matrix and its generalized relations, SNRU Journal of Science and Technology, 7 (2) (2015), 90-94.
  • [4] A. G. Shannon, P. G. Anderson, A. F. Horadam, Properties of Cordonnier, Perrin and van der Laan numbers, IJEMST, 37 (7) (2006), 825-831.
  • [5] K. Sokhuma, Matrices formula for padovan and perrin sequences, Appl. Math. Sci., 7 (142) (2013), 7093-7096.
  • [6] C. J. Harman, Complex Fibonacci numbers, The Fibonacci Quarterly, 19 (1) (1981), 82-86.
  • [7] R. R. de Oliveira, F. R. V. Alves, R. E. B. Paiva, Identidades bi e tridimensionais para os numeros de Fibonacci na forma complexa, C.Q.D.-Revista Eletrˆonica Paulista de Matem´atica, 11 (2) (2017), 91-106.
  • [8] R. R. de. Oliveira, Engenharia didatica sobre o modelo de complexificacao da sequencia generalizada de Fibonacci: Relacoes recorrentes n-dimensionais e representacoes polinomiais e matriciais. Dissertacao de Mestrado Academico do Programa de Pos-graduacao em Ensino de Ciencias e Matematica do Instituto Federal de Educacao, Ciencia e Tecnologia do Ceara - IFCE - Campus Fortaleza, 2018.
  • [9] R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, Relacoes bidimensionais e identidades da sequencia de Leonardo, ReviSeM, 4 (2) (2019), 156-173.

Perrin n-Dimensional Relations

Yıl 2021, Cilt: 4 Sayı: 2, 100 - 109, 01.06.2021

Renata Vieira Milena Mangueira Francisco Regis Alves Paula Maria Machado Cruz Catarino

https://doi.org/10.33401/fujma.874081
Cited By: 3

Öz

This work aims, to perform a complexity in the Perrin sequence, to present the two-dimensional, three-dimensional, and n-dimensional recurrence relations of this sequence. Thus, from the one-dimensional relationship of this sequence, we will discuss the increase of its dimensionality and the insertion of imaginary units in the Perrin sequence, which is a recursive sequence of third order and presents large similarities with the Padovan sequence, differing only its initial values. Moreover, we will present a relationship between the Perrin numbers and the Padovan numbers, which will be used to perform the complexity of this sequence.

Anahtar Kelimeler

n-dimensional relations Perrin sequence Three-dimensional relations Two-dimensional relations

Kaynakça

  • [1] M. C. dos S. Mangueira, R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, A generalizacao da forma matricial da sequencia de Perrin, ReviSeM, 5 (1) (2020), 384-392.
  • [2] M. C. dos S. Mangueira, R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, A generalized Perrin polynomial sequence and its two-dimensional recurrences, An. Stiint. Univ. Al. I. Cuza Iasi. Mat. (N.S.), in press.
  • [3] P. Seenukul, Matrices which have similar properties to Padovan q -matrix and its generalized relations, SNRU Journal of Science and Technology, 7 (2) (2015), 90-94.
  • [4] A. G. Shannon, P. G. Anderson, A. F. Horadam, Properties of Cordonnier, Perrin and van der Laan numbers, IJEMST, 37 (7) (2006), 825-831.
  • [5] K. Sokhuma, Matrices formula for padovan and perrin sequences, Appl. Math. Sci., 7 (142) (2013), 7093-7096.
  • [6] C. J. Harman, Complex Fibonacci numbers, The Fibonacci Quarterly, 19 (1) (1981), 82-86.
  • [7] R. R. de Oliveira, F. R. V. Alves, R. E. B. Paiva, Identidades bi e tridimensionais para os numeros de Fibonacci na forma complexa, C.Q.D.-Revista Eletrˆonica Paulista de Matem´atica, 11 (2) (2017), 91-106.
  • [8] R. R. de. Oliveira, Engenharia didatica sobre o modelo de complexificacao da sequencia generalizada de Fibonacci: Relacoes recorrentes n-dimensionais e representacoes polinomiais e matriciais. Dissertacao de Mestrado Academico do Programa de Pos-graduacao em Ensino de Ciencias e Matematica do Instituto Federal de Educacao, Ciencia e Tecnologia do Ceara - IFCE - Campus Fortaleza, 2018.
  • [9] R. P. M. Vieira, F. R. V. Alves, P. M. M. C. Catarino, Relacoes bidimensionais e identidades da sequencia de Leonardo, ReviSeM, 4 (2) (2019), 156-173.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Renata Vieira 0000-0002-1966-7097

Milena Mangueira 0000-0002-4446-155X

Francisco Regis Alves 0000-0003-3710-1561

Paula Maria Machado Cruz Catarino 0000-0001-6917-5093

Yayımlanma Tarihi 1 Haziran 2021
Gönderilme Tarihi 4 Şubat 2021
Kabul Tarihi 19 Mayıs 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

APA Vieira, R., Mangueira, M., Alves, F. R., Cruz Catarino, P. M. M. (2021). Perrin n-Dimensional Relations. Fundamental Journal of Mathematics and Applications, 4(2), 100-109. https://doi.org/10.33401/fujma.874081
AMA Vieira R, Mangueira M, Alves FR, Cruz Catarino PMM. Perrin n-Dimensional Relations. FUJMA. Haziran 2021;4(2):100-109. doi:10.33401/fujma.874081
Chicago Vieira, Renata, Milena Mangueira, Francisco Regis Alves, ve Paula Maria Machado Cruz Catarino. “Perrin N-Dimensional Relations”. Fundamental Journal of Mathematics and Applications 4, sy. 2 (Haziran 2021): 100-109. https://doi.org/10.33401/fujma.874081.
EndNote Vieira R, Mangueira M, Alves FR, Cruz Catarino PMM (01 Haziran 2021) Perrin n-Dimensional Relations. Fundamental Journal of Mathematics and Applications 4 2 100–109.
IEEE R. Vieira, M. Mangueira, F. R. Alves, ve P. M. M. Cruz Catarino, “Perrin n-Dimensional Relations”, FUJMA, c. 4, sy. 2, ss. 100–109, 2021, doi: 10.33401/fujma.874081.
ISNAD Vieira, Renata vd. “Perrin N-Dimensional Relations”. Fundamental Journal of Mathematics and Applications 4/2 (Haziran 2021), 100-109. https://doi.org/10.33401/fujma.874081.
JAMA Vieira R, Mangueira M, Alves FR, Cruz Catarino PMM. Perrin n-Dimensional Relations. FUJMA. 2021;4:100–109.
MLA Vieira, Renata vd. “Perrin N-Dimensional Relations”. Fundamental Journal of Mathematics and Applications, c. 4, sy. 2, 2021, ss. 100-9, doi:10.33401/fujma.874081.
Vancouver Vieira R, Mangueira M, Alves FR, Cruz Catarino PMM. Perrin n-Dimensional Relations. FUJMA. 2021;4(2):100-9.

Cited By

A note of the combinatorial interpretation of the Perrin and Tetrarrin sequence
Journal of Universal Mathematics
https://doi.org/10.33773/jum.1372291
ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES
Journal of Science and Arts
https://doi.org/10.46939/J.Sci.Arts-23.3-a12
Padovan and Perrin Hybrid Number Identities
Communications in Advanced Mathematical Sciences
https://doi.org/10.33434/cams.964042
 Kapak Resmi İndir

Creative Commons License
The published articles in Fundamental Journal of Mathematics and Applications are licensed under a