Research Article

Bivariate Fibonacci and Lucas Like Polynomials

Volume: 29 Number: 1 March 21, 2016
EN

Bivariate Fibonacci and Lucas Like Polynomials

Abstract

In this article, we study the generalized bivariate Fibonacci (GBF) and generalized bivariate Lucas (GBL) polynomials from specifying p(x,y) and q(x,y)  , classical bivariate Fibonacci and Lucas polynomials (  p(x,y)=x and q(x,y)=y ). Afterwards, we obtain the some properties of the GBF and GBL polynomials.

Keywords

References

  1. Belbachir, H., Bencherif, F., “On Some Properties of Bivariate Fibonacci and Lucas Polynomials”, Journal of Integer Sequences ,11, Article 08.2.6, (2008).
  2. Catalani, M., “Some Formulae for Bivariate Fibonacci and Lucas Polynomials”, Arxiv: math.CO/0406323v1, (2004).
  3. Catalani, M., “Generalized Bivariate Fibonacci Polynomials”, Arxiv: math/0211366v2, (2004).
  4. Djordjevic, GB., “Some properties of a class of polynomials”, Matematiqki Vesnik, 49: 265-271 (1997).
  5. Djordjevic, GB., “Some properties of partial derivatives of Generalized Fibonacci and Lucas polynomials”, The Fibonacci Quarterly, 39: 138-141 (2001).
  6. Frei, G., “Binary Lucas and Fibonacci polynomials”, Mathematische Nachrichten, 96: 83-112 (1980).
  7. Koshy T., Fibonacci and Lucas Numbers with Applications, A.Wiley- Interscience Publication, (2001).
  8. MacHenry, T., “A Subgroupof units in the ring of arithmetic functions”, Rocky Mountain Journal of Mathematics, 29:1055-1064, (1999).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

March 21, 2016

Submission Date

October 28, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 29 Number: 1

APA
Kocer, E. G., & Tuncez, S. (2016). Bivariate Fibonacci and Lucas Like Polynomials. Gazi University Journal of Science, 29(1), 109-113. https://izlik.org/JA22CJ67CS
AMA
1.Kocer EG, Tuncez S. Bivariate Fibonacci and Lucas Like Polynomials. Gazi University Journal of Science. 2016;29(1):109-113. https://izlik.org/JA22CJ67CS
Chicago
Kocer, Emine Gokcen, and Serife Tuncez. 2016. “Bivariate Fibonacci and Lucas Like Polynomials”. Gazi University Journal of Science 29 (1): 109-13. https://izlik.org/JA22CJ67CS.
EndNote
Kocer EG, Tuncez S (March 1, 2016) Bivariate Fibonacci and Lucas Like Polynomials. Gazi University Journal of Science 29 1 109–113.
IEEE
[1]E. G. Kocer and S. Tuncez, “Bivariate Fibonacci and Lucas Like Polynomials”, Gazi University Journal of Science, vol. 29, no. 1, pp. 109–113, Mar. 2016, [Online]. Available: https://izlik.org/JA22CJ67CS
ISNAD
Kocer, Emine Gokcen - Tuncez, Serife. “Bivariate Fibonacci and Lucas Like Polynomials”. Gazi University Journal of Science 29/1 (March 1, 2016): 109-113. https://izlik.org/JA22CJ67CS.
JAMA
1.Kocer EG, Tuncez S. Bivariate Fibonacci and Lucas Like Polynomials. Gazi University Journal of Science. 2016;29:109–113.
MLA
Kocer, Emine Gokcen, and Serife Tuncez. “Bivariate Fibonacci and Lucas Like Polynomials”. Gazi University Journal of Science, vol. 29, no. 1, Mar. 2016, pp. 109-13, https://izlik.org/JA22CJ67CS.
Vancouver
1.Emine Gokcen Kocer, Serife Tuncez. Bivariate Fibonacci and Lucas Like Polynomials. Gazi University Journal of Science [Internet]. 2016 Mar. 1;29(1):109-13. Available from: https://izlik.org/JA22CJ67CS