Araştırma Makalesi
BibTex RIS Kaynak Göster

TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS

Yıl 2016, Cilt: 4 Sayı: 2, 247 - 254, 01.10.2016

Öz

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.

Kaynakça

  • [1] Alladi, K., Hoggatt, V.E., On Tribonacci Numbers and Related Functions, The Fibonacci Quarterly, 15, 42-45, 1977.
  • [2] Feng, J., More Identities on the Tribonacci Numbers, Ars Combinatoria, 100, 73-78, 2011.
  • [3] Hoggatt, V.E., Bicknell, M., Generalized Fibonacci Polynomials, The Fibonacci Quarterly,11, 457-465, 1973.
  • [4] Koshy, T., Fibonacci and Lucas Numbers with Applications, A Wiley-Interscience Publica- tion, 2001
  • [5] Kuhapatanakul, K., Sukruan, L., The Generalized Tribonacci Numbers with Negative Sub- scripts, Integers 14, 2014.
  • [6] Lin, Pin-Yen., De Moivre-Type Identities for the Tribonacci Numbers, The Fibonacci Quar- terly, 26(2), 131-134, 1988.
  • [7] McCarty, C.P., A Formula for Tribonacci Numbers, The Fibonacci Quarterly, 19, 391-393, 1981.
  • [8] Pethe, S., Some Identities for Tribonacci Sequences, The Fibonacci Quarterly, 26, 144-151, 1988.
  • [9] Ramirez, J. L., Sirvent, V.F., Incomplete Tribonacci Numbers and Polynomials, Journal of Integer Sequences,17, Article 14.4.2, 2014.
  • [10] Spickerman, W.R., Binet's Formula for the Tribonacci Sequence, The Fibonacci Quaeterly, 20(2), 118-120, 1982.
  • [11] Tan, M., Zhang, Y., A Note on Bivariate and Trivariate Fibonacci Polynomials, Southeast Asian Bulletin of Mathematics, 29, 975-990, 2005.
Yıl 2016, Cilt: 4 Sayı: 2, 247 - 254, 01.10.2016

Öz

Kaynakça

  • [1] Alladi, K., Hoggatt, V.E., On Tribonacci Numbers and Related Functions, The Fibonacci Quarterly, 15, 42-45, 1977.
  • [2] Feng, J., More Identities on the Tribonacci Numbers, Ars Combinatoria, 100, 73-78, 2011.
  • [3] Hoggatt, V.E., Bicknell, M., Generalized Fibonacci Polynomials, The Fibonacci Quarterly,11, 457-465, 1973.
  • [4] Koshy, T., Fibonacci and Lucas Numbers with Applications, A Wiley-Interscience Publica- tion, 2001
  • [5] Kuhapatanakul, K., Sukruan, L., The Generalized Tribonacci Numbers with Negative Sub- scripts, Integers 14, 2014.
  • [6] Lin, Pin-Yen., De Moivre-Type Identities for the Tribonacci Numbers, The Fibonacci Quar- terly, 26(2), 131-134, 1988.
  • [7] McCarty, C.P., A Formula for Tribonacci Numbers, The Fibonacci Quarterly, 19, 391-393, 1981.
  • [8] Pethe, S., Some Identities for Tribonacci Sequences, The Fibonacci Quarterly, 26, 144-151, 1988.
  • [9] Ramirez, J. L., Sirvent, V.F., Incomplete Tribonacci Numbers and Polynomials, Journal of Integer Sequences,17, Article 14.4.2, 2014.
  • [10] Spickerman, W.R., Binet's Formula for the Tribonacci Sequence, The Fibonacci Quaeterly, 20(2), 118-120, 1982.
  • [11] Tan, M., Zhang, Y., A Note on Bivariate and Trivariate Fibonacci Polynomials, Southeast Asian Bulletin of Mathematics, 29, 975-990, 2005.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

E. Gokcen Kocer

Hatice Gedıkce Bu kişi benim

Yayımlanma Tarihi 1 Ekim 2016
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

APA Kocer, E. G., & Gedıkce, H. (2016). TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp Journal of Mathematics, 4(2), 247-254.
AMA Kocer EG, Gedıkce H. TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp J. Math. Ekim 2016;4(2):247-254.
Chicago Kocer, E. Gokcen, ve Hatice Gedıkce. “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”. Konuralp Journal of Mathematics 4, sy. 2 (Ekim 2016): 247-54.
EndNote Kocer EG, Gedıkce H (01 Ekim 2016) TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp Journal of Mathematics 4 2 247–254.
IEEE E. G. Kocer ve H. Gedıkce, “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”, Konuralp J. Math., c. 4, sy. 2, ss. 247–254, 2016.
ISNAD Kocer, E. Gokcen - Gedıkce, Hatice. “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”. Konuralp Journal of Mathematics 4/2 (Ekim 2016), 247-254.
JAMA Kocer EG, Gedıkce H. TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp J. Math. 2016;4:247–254.
MLA Kocer, E. Gokcen ve Hatice Gedıkce. “TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS”. Konuralp Journal of Mathematics, c. 4, sy. 2, 2016, ss. 247-54.
Vancouver Kocer EG, Gedıkce H. TRIVARIATE FIBONACCI AND LUCAS POLYNOMIALS. Konuralp J. Math. 2016;4(2):247-54.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.