Araştırma Makalesi
BibTex RIS Kaynak Göster

ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS

Yıl 2017, Cilt: 5 Sayı: 2, 96 - 101, 15.10.2017

Öz

In this paper, new families of generalized Fibonacci and Lucas numbers are introduced. In addition, we present the recurrence relations and the generating functions of the new families for $k=2$.

Kaynakça

  • [1] A. Atalay, K. Uslu and H. Gokkaya, New families of s- bonacci and s-lucas numbers, Selcuk Journal of Applied Mathematics, 14(2) (2013), 34-42.
  • [2] P. Catarino et al., New families of Jacobsthal and Jacobsthal-Lucas numbers, Algebra and Discrete Mathematics, 20(1) (2015), 40-54.
  • [3] G. Cerda-Morales, Matrix methods in Horadam sequences, Bol. Mat. 19 (2) (2012), 97-106.
  • [4] G. Cerda-Morales, On generalized Fibonacci and Lucas numbers by matrix methods, Hacettepe Journal of Mathematics and Statistics, 42(2) (2013), 173-179.
  • [5] M. El-Mikkawy and T. Sogabe, A new family of k-Fibonacci numbers, Applied Mathematics and Computation 215 (2010), 4456-4461.
  • [6] A.F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart. 3 (1965), 161-176.
  • [7] A.F. Horadam, Jacobsthal representation numbers, Fibonacci Quart. Vol. 34(1) (1996), 40-53.
  • [8] D. Kalman and R. Mena, The Fibonacci numbers-exposed, Math. Mag., 76 (2003), 81-167.
  • [9] F. Koken and D. Bozkurt, On the Jacobsthal numbers by matrix methods, Int. J. Contemp. Math. Sci. 3(13) (2008), 605-614.
  • [10] E. Karaduman, On determinants of matrices with general Fibonacci numbers entries, Appl. Math. Comp. 167 (2005), 670-676.
  • [11] N. Yilmaz, Y. Yazlik and N. Taskara, On the k-Generalized Fibonacci Numbers, Selcuk Journal of Applied Mathematics, 13(1) (2012), 83-88.
Yıl 2017, Cilt: 5 Sayı: 2, 96 - 101, 15.10.2017

Öz

Kaynakça

  • [1] A. Atalay, K. Uslu and H. Gokkaya, New families of s- bonacci and s-lucas numbers, Selcuk Journal of Applied Mathematics, 14(2) (2013), 34-42.
  • [2] P. Catarino et al., New families of Jacobsthal and Jacobsthal-Lucas numbers, Algebra and Discrete Mathematics, 20(1) (2015), 40-54.
  • [3] G. Cerda-Morales, Matrix methods in Horadam sequences, Bol. Mat. 19 (2) (2012), 97-106.
  • [4] G. Cerda-Morales, On generalized Fibonacci and Lucas numbers by matrix methods, Hacettepe Journal of Mathematics and Statistics, 42(2) (2013), 173-179.
  • [5] M. El-Mikkawy and T. Sogabe, A new family of k-Fibonacci numbers, Applied Mathematics and Computation 215 (2010), 4456-4461.
  • [6] A.F. Horadam, Basic properties of a certain generalized sequence of numbers, Fibonacci Quart. 3 (1965), 161-176.
  • [7] A.F. Horadam, Jacobsthal representation numbers, Fibonacci Quart. Vol. 34(1) (1996), 40-53.
  • [8] D. Kalman and R. Mena, The Fibonacci numbers-exposed, Math. Mag., 76 (2003), 81-167.
  • [9] F. Koken and D. Bozkurt, On the Jacobsthal numbers by matrix methods, Int. J. Contemp. Math. Sci. 3(13) (2008), 605-614.
  • [10] E. Karaduman, On determinants of matrices with general Fibonacci numbers entries, Appl. Math. Comp. 167 (2005), 670-676.
  • [11] N. Yilmaz, Y. Yazlik and N. Taskara, On the k-Generalized Fibonacci Numbers, Selcuk Journal of Applied Mathematics, 13(1) (2012), 83-88.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

GAMALIEL Cerda-morales Bu kişi benim

Yayımlanma Tarihi 15 Ekim 2017
Gönderilme Tarihi 15 Ekim 2017
Kabul Tarihi 2 Haziran 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 2

Kaynak Göster

APA Cerda-morales, G. (2017). ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS. Konuralp Journal of Mathematics, 5(2), 96-101.
AMA Cerda-morales G. ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS. Konuralp J. Math. Ekim 2017;5(2):96-101.
Chicago Cerda-morales, GAMALIEL. “ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS”. Konuralp Journal of Mathematics 5, sy. 2 (Ekim 2017): 96-101.
EndNote Cerda-morales G (01 Ekim 2017) ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS. Konuralp Journal of Mathematics 5 2 96–101.
IEEE G. Cerda-morales, “ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS”, Konuralp J. Math., c. 5, sy. 2, ss. 96–101, 2017.
ISNAD Cerda-morales, GAMALIEL. “ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS”. Konuralp Journal of Mathematics 5/2 (Ekim 2017), 96-101.
JAMA Cerda-morales G. ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS. Konuralp J. Math. 2017;5:96–101.
MLA Cerda-morales, GAMALIEL. “ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS”. Konuralp Journal of Mathematics, c. 5, sy. 2, 2017, ss. 96-101.
Vancouver Cerda-morales G. ON THE PROPERTIES OF NEW FAMILIES OF GENERALIZED FIBONACCI NUMBERS. Konuralp J. Math. 2017;5(2):96-101.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.