O pewnym rodzaju liczb typu fibonacciego i ich zastosowaniach w teorii liczb dwuzespolonych

Autor

  • Mirosław Liana Rzeszow University of Technology, The Faculty of Management, Polska
  • Anetta Szynal-Liana Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics, Polska
  • Iwona Włoch Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics, Polska

Słowa kluczowe:

liczby Fibonacciego, zależności rekurencyjne, liczby dwuzespolone

Abstrakt

W pracy pokazane zostało zastosowanie pewnego rodzaju liczb typu Fibonacciego w teorii liczb dwuzespolonych.

Bibliografia

F. T. Aydın, On Bicomplex Pell and Pell-Lucas Numbers, Communications in Advanced Mathematical Sciences Vol. I, No. 2 (2018), 142–155.

P. Anantakitpaisal, K. Kuhapatanakul, Reciprocal Sums of the Tribonacci Numbers, Journal of Integer Sequences 19 (2016), Article 16.2.1.

M. Feinberg, Fibonacci - Tribonacci, The Fibonacci Quarterly 1.3 (1963), 71–74.

G. Kohler, Generating functions of Fibonacci-like sequences and decimal expansions of some fractions, The Fibonacci Quarterly 23.1 (1985), 29–35.

M. Liana, A. Szynal-Liana, I. Włoch, On F(p, n)-Fibonacci bicomplex numbers, Scientific Issues of Jan Długosz University in Częstochowa, Mathematics XXIII (2018), 35–44.

P. Y. Lin, De Moivre-type identities for the Tribonacci numbers, The Fibonacci Quarterly 26.2 (1988), 131–134.

M. E. Luna-Elizarrar´as, M. Shapiro, D. C. Struppa, A. Vajiac, Bicomplex Holomorphic Functions: The Algebra, Geometry and Analysis of Bicomplex Numbers, Birkhuser, 2015.

M. E. Luna-Elizarrar´as, M. Shapiro, D. C. Struppa, A. Vajiac, Bicomplex Numbers and their Elementary Functions, CUBO 14(2) (2012), 61–80.

D. Rochon, M. Shapiro, On algebraic properties of bicomplex and hyperbolic numbers, Analele Universit˘at¸ii Oradea, Fascicola Matematica 11 (2004), 71–110.

C. Segre, Le Rappresentazioni Reali delle Forme Complesse a Gli Enti Iperalgebrici, Mathematische Annalen 40 (1892), 413–467.

W. R. Spickerman, Binet’s formula for the Tribonacci sequence, The Fibonacci Quarterly 20.2 (1982), 118–120.

A. Szynal-Liana, The Horadam Hybrid Numbers, Discussiones Mathematicae – General Algebra and Applications 38 (2018), 91–98.

A. Szynal-Liana, I. Włoch, A note on Jacobsthal quaternions, Advances in Applied Clifford Algebras 26 (2016), 441–447.

A. Szynal-Liana, I. Włoch, Some properties of generalized Tribonacci quaternions, Scientific Issues of Jan Długosz University in Częstochowa, Mathematics XXII (2017), 73–81.

A. Szynal-Liana, I. Włoch, The Pell Quaternions and the Pell Octonions, Advances in Applied Clifford Algebras 26 (2016), 435–440.

I. Włoch, On generalized Pell numbers and their graph representations, Commentationes Mathematicae, 48(2) (2008), 169–175.

Pobrania

Opublikowane

2020-10-01

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