Araştırma Makalesi

A STUDY ON GENERALIZED 5-PRIMES NUMBERS

Cilt: 4 Sayı: 3 19 Ağustos 2020
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A STUDY ON GENERALIZED 5-PRIMES NUMBERS

Abstract

In this paper, we introduce the generalized 5-primes numbers sequences and we deal with, in detail, three special cases which we call them 5-primes, Lucas 5-primes and modified 5-primes sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences ........................... .................... ....................................   

 2010  Mathematics Subject Classication. 11B39,  11B83.

Keywords

Kaynakça

  1. [1] Howard, F.T., Saidak, F., Zhou’s Theory of Constructing Identities, Congress Numer. 200, 225-237, 2010.
  2. [2] Kalman, D., Generalized Fibonacci Numbers By Matrix Methods, Fibonacci Quarterly, 20(1), 73-76, 1982.
  3. [3] Kiliç, E., Stanica, P., A Matrix Approach for General Higher Order Linear Recurrences, Bulletin of the Malaysian Mathematical Sciences Society, (2) 34(1), 51.67, 2011.
  4. [4] Melham, R. S., Some Analogs of the Identity , F_n^2+F_(n+1)^2=F_(2n+1)^2 Fibonacci Quarterly, 305-311, 1999.
  5. [5] Natividad, L. R., On Solving Fibonacci-Like Sequences of Fourth, Fifth and Sixth Order, International Journal of Mathematics and Computing, 3 (2), 2013.
  6. [6] Rathore, G.P.S., Sikhwal, O., Choudhary, R., Formula for finding nth Term of Fibonacci-Like Sequence of Higher Order, International Journal of Mathematics And its Applications, 4 (2-D), 75-80, 2016.
  7. [7] Sloane, N.J.A., The on-line encyclopedia of integer sequences, http://oeis.org/
  8. [8] Soykan, Y., Simson Identity of Generalized m-step Fibonacci Numbers, Int. J. Adv. Appl. Math. and Mech. 7(2), 45-56, 2019.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

19 Ağustos 2020

Gönderilme Tarihi

23 Mart 2020

Kabul Tarihi

31 Temmuz 2020

Yayımlandığı Sayı

Yıl 1970 Cilt: 4 Sayı: 3

Kaynak Göster

APA
Soykan, Y. (2020). A STUDY ON GENERALIZED 5-PRIMES NUMBERS. Journal of Scientific Perspectives, 4(3), 185-202. https://doi.org/10.26900/jsp.4.017