Research Article

TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS

Volume: 4 Number: 2 October 1, 2016
EN

TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS

Abstract

In this article, we study the Trivariate Fibonacci and Lucas poly- nomials. The classical Tribonacci numbers and Tribonacci polynomials are the special cases of the trivariate Fibonacci polynomials. Also, we obtain some properties of the trivariate Fibonacci and Lucas polynomials. Using these properties, we give some results for the Tribonacci numbers and Tribonacci polynomials.

Keywords

References

  1. [1] Alladi, K., Hoggatt, V.E., On Tribonacci Numbers and Related Functions, The Fibonacci Quarterly, 15, 42-45, 1977.
  2. [2] Feng, J., More Identities on the Tribonacci Numbers, Ars Combinatoria, 100, 73-78, 2011.
  3. [3] Hoggatt, V.E., Bicknell, M., Generalized Fibonacci Polynomials, The Fibonacci Quarterly,11, 457-465, 1973.
  4. [4] Koshy, T., Fibonacci and Lucas Numbers with Applications, A Wiley-Interscience Publica- tion, 2001
  5. [5] Kuhapatanakul, K., Sukruan, L., The Generalized Tribonacci Numbers with Negative Sub- scripts, Integers 14, 2014.
  6. [6] Lin, Pin-Yen., De Moivre-Type Identities for the Tribonacci Numbers, The Fibonacci Quar- terly, 26(2), 131-134, 1988.
  7. [7] McCarty, C.P., A Formula for Tribonacci Numbers, The Fibonacci Quarterly, 19, 391-393, 1981.
  8. [8] Pethe, S., Some Identities for Tribonacci Sequences, The Fibonacci Quarterly, 26, 144-151, 1988.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Hatice Gedıkce This is me
Türkiye

Publication Date

October 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

APA
Kocer, E. G., & Gedıkce, H. (2016). TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp Journal of Mathematics, 4(2), 247-254. https://izlik.org/JA37BE34WR
AMA
1.Kocer EG, Gedıkce H. TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp J. Math. 2016;4(2):247-254. https://izlik.org/JA37BE34WR
Chicago
Kocer, E. Gokcen, and Hatice Gedıkce. 2016. “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”. Konuralp Journal of Mathematics 4 (2): 247-54. https://izlik.org/JA37BE34WR.
EndNote
Kocer EG, Gedıkce H (October 1, 2016) TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp Journal of Mathematics 4 2 247–254.
IEEE
[1]E. G. Kocer and H. Gedıkce, “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”, Konuralp J. Math., vol. 4, no. 2, pp. 247–254, Oct. 2016, [Online]. Available: https://izlik.org/JA37BE34WR
ISNAD
Kocer, E. Gokcen - Gedıkce, Hatice. “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”. Konuralp Journal of Mathematics 4/2 (October 1, 2016): 247-254. https://izlik.org/JA37BE34WR.
JAMA
1.Kocer EG, Gedıkce H. TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp J. Math. 2016;4:247–254.
MLA
Kocer, E. Gokcen, and Hatice Gedıkce. “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”. Konuralp Journal of Mathematics, vol. 4, no. 2, Oct. 2016, pp. 247-54, https://izlik.org/JA37BE34WR.
Vancouver
1.E. Gokcen Kocer, Hatice Gedıkce. TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp J. Math. [Internet]. 2016 Oct. 1;4(2):247-54. Available from: https://izlik.org/JA37BE34WR
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