Complex Fibonacci $p$-Numbers

Authors

  • Dursun Tasci Department of Mathematics, Gazi University, Teknikokullar, Ankara, 06500
  • Feyza Yalcin Department of Mathematics, Gazi University, Teknikokullar, Ankara, 06500

DOI:

https://doi.org/10.26713/cma.v4i3.195

Keywords:

Complex Fibonacci $p$-numbers, Complex Fibonacci numbers, Fibonacci $p$-numbers

Abstract

In the present paper, the complex Fibonacci $p$-numbers are defined by two-dimensional recurrence relation and some results are obtained.

Downloads

Download data is not yet available.

References

C.J. Harman, Complex Fibonacci numbers, The Fibonacci Quarterly 19 (1981), 82-86.

A.F. Horadam, Complex Fibonacci numbers and Fibonacci quaternions, Amer. Math. Monthly 70 (1963), 289-291.

S. Pethe and A.F. Horadam, Generalized Gaussian Fibonacci numbers, Bull. Austral. Math. Soc. 33 (1986), 37-48.

G. Berzsenyi, Gaussian Fibonacci numbers, The Fibonacci Quarterly 15 (1977), 233-236.

A. Stakhov and B. Rozin, Theory of Binet formulas for Fibonacci and Lucas $p$-numbers, Chaos Solitons and Fractals 27 (2006), 1162-1177.

D. Tasci and M.C. Firengiz, Incomplete Fibonacci and Lucas $p$-numbers, Mathematical and Computer Modelling 52 (2010), 1763-1770.

N. Tuglu, G. Kocer and A. Stakhov, Bivariate Fibonacci like $p$-polynomials, Applied Mathematics and Computation 217 (2011), 10239-10246.

Downloads

CITATION

How to Cite

Tasci, D., & Yalcin, F. (2014). Complex Fibonacci $p$-Numbers. Communications in Mathematics and Applications, 4(3), 213–218. https://doi.org/10.26713/cma.v4i3.195

Issue

Vol. 4 No. 3 (2013)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.