Jacobsthal Representation Hybrinomials

• Autorzy: Mirosław Liana , Anetta Szynal-Liana , Iwona Włoch
• Języki publikacji: EN

Abstrakty

EN

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)

Słowa kluczowe

EN

Mathematics; Algebra; Number theory

PL

Matematyka; Algebra; Teoria liczb

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2022
• Tom: 36 (1)
• Strony: 57--70

Twórcy

autor

Mirosław Liana

• Rzeszow University of Technology, Poland

autor

Anetta Szynal-Liana

• Rzeszow University of Technology, Poland

autor

Iwona Włoch

• Rzeszow University of Technology, Poland

Bibliografia

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• 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.

Identyfikatory

DOI

0.2478/amsil-2021-0014