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.
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.
Yıl 2018,
Cilt: 6 Sayı: 2, 209 - 212, 15.10.2018
Sümeyra Uçar
,
Nihal Yılmaz Özgür
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.