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Abstrakty
Jacobsthal numbers are a special case of numbers defined recursively by the second order linear relation and for these reasons they are also named as numbers of the Fibonacci type. They have many interpretations, representations and applications in distinct areas of mathematics. In this paper we present the Jacobsthal representation hybrinomials, i.e. polynomials, which are a generalization of Jacobsthal hybrid numbers.(original abstract)
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autor
- Rzeszow University of Technology, Poland
autor
- Rzeszow University of Technology, Poland
autor
- Rzeszow University of Technology, Poland
Bibliografia
- Anatriello G. and Vincenzi G., On h¯ -Jacobsthal and h¯ -Jacobsthal-Lucas sequences, and related quaternions, An. Ştiinţ. Univ. "Ovidius" Constanţa 27 (2019), no. 3, 5-23.
- Djordjević G.B., Generalized Jacobsthal polynomials, Fibonacci Quart. 38 (2000), no. 3, 239-243.
- Horadam A.F., Jacobsthal and Pell curves, Fibonacci Quart. 26 (1988), no. 1, 77-83.
- Horadam A.F., Jacobsthal representation numbers, Fibonacci Quart. 34 (1996), no. 1, 40-54.
- Horadam A.F., Jacobsthal representation polynomials, Fibonacci Quart. 35 (1997), no. 2, 137-148.
- Horzum T. and Kocer E.G., On some properties of Horadam polynomials, Int. Math. Forum 4 (2009), no. 25, 1243-1252.
- Liana M., Szynal-Liana A., and Włoch I., On Pell hybrinomials, Miskolc Math. Notes 20 (2019), no. 2, 1051-1062.
- Özdemir M., Introduction to hybrid numbers, Adv. Appl. Clifford Algebr. 28 (2018), no. 1, Paper No. 11, 32 pp.
- Szynal-Liana A., The Horadam hybrid numbers, Discuss. Math. Gen. Algebra Appl. 38 (2018), no. 1, 91-98.
- Szynal-Liana A., Włoch A., and Włoch I., On generalized Pell numbers generated by Fibonacci and Lucas numbers, Ars Combin. 115 (2014), 411-423.
- Szynal-Liana A. and Włoch I., Hypercomplex Numbers of the Fibonacci Type, Oficyna Wydawnicza Politechniki Rzeszowskiej, Rzeszów, 2019.
- Szynal-Liana A. and Włoch I., On Jacobsthal and Jacobsthal-Lucas hybrid numbers, Ann. Math. Sil. 33 (2019), 276-283.
- Szynal-Liana A. and Włoch I., Introduction to Fibonacci and Lucas hybrinomials, Complex Var. Elliptic Equ. 65 (2020), no. 10, 1736-1747.
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Bibliografia
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