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.