On Some Properties of Incomplete Trivariate Generalized Tribonacci Polynomials

Yıl 2018, Cilt: 6 Sayı: 2, 209 - 212, 15.10.2018

Sümeyra Uçar , Nihal Yılmaz Özgür

Öz

In this paper we define incomplete trivariate generalized Tribonacci polynomials and obtain some properties of them using tables and sum formulas. Especially, we obtain a recurrence relation of these new class of polynomials.

Anahtar Kelimeler

Trivariate generalized Fibonacci polynomials

Kaynakça

• [1] Alladi, K. Hoggatt, V.-E., Jr. On Tribonacci numbers and related functions, Fibonacci Quart. Vol:15, No.1 (1977), 42-45.
• [2] P. Catarino, H. Campos, Incomplete k-Pell, k-Pell-Lucas and modified k-Pell numbers, Hacet. J. Math. Stat. Vol:46 no. 3 (2017), 361-372.
• [3] Kılıc¸, E., Prodinger, H., A note on the conjecture of Ramirez and Sirvent, J. Integer Seq. Vol:17, No. 5 (2014), 3pp.
• [4] Hoggatt, V. E., Bicknell, M., Generalized Fibonacci polynomials, Fibonacci Quart. Vol:11, No. 5 (1973), 457-465.
• [5] Kocer, G.-E., Gedikce, H., Trivariate Fibonacci and Lucas Polynomials, Konuralp J. Math. Vol:4 No. 2 (2016), 247-254.
• [6] Koshy, T., Fibonacci and Lucas numbers with applications, Pure and Applied Mathematics.: Wiley-Interscience, New York, 2001.
• [7] Ramirez J.-L., Sirvent, V.-F., Incomplete Tribonacci numbers and polynomials, J. Integer Seq. Vol: 17, No. 4 (2014), 13pp.