Dergiler / Konuralp Journal of Mathematics / 2018 / Volume: 6 Issue: 2

On Some Properties of Incomplete Trivariate Generalized Tribonacci Polynomials

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Yayın Tarihi
2018-10-15
DOI
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Especially, we obtain a recurrence relation of these new class of polynomials.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper we define incomplete trivariate generalized Tribonacci polynomials and obtain some properties of them using tables and sum formulas.
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Temel Bulgular & Veri:In this paper we define incomplete trivariate generalized Tribonacci polynomials and obtain some properties of them using tables and sum formulas.
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Sonuç & Katkı:Especially, we obtain a recurrence relation of these new class of polynomials.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Trivariate generalized Fibonacci polynomials

Abstract

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.

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Bu Makaleye Atıf Yap

Uçar, S., Özgür, N. Y. (2018). On Some Properties of Incomplete Trivariate Generalized Tribonacci Polynomials. Konuralp Journal of Mathematics, Volume: 6 Issue: 2. https://ajindex.com/articles/1521763

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Kaynakça (7)

  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.