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Języki publikacji
Abstrakty
In this paper we introduce F(p, n)-Fibonacci bicomplex numbers and L(p, n)-Lucas bicomplex numbers as a special type of bicomplex numbers. We give some their properties and describe relations between them.
Rocznik
Tom
Strony
35--44
Opis fizyczny
Bibliogr. 10 poz., tab.
Twórcy
autor
- Rzeszow University of Technology, The Faculty of Management, al. Powstańców Warszawy 10, 35-959 Rzeszów, Poland
autor
- Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
autor
- Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
Bibliografia
- [1] M. Kwaśnik, I. Włoch, The total number of generalized stable sets and kernels of graphs, Ars Combinatoria 55 (2000), 139-146.
- [2] M.E. Luna-Elizarrarás, M. Shapiro, D.C. Struppa, A. Vajiac, Bicomplex Holomorphic Functions: The Algebra, Geometry and Analysis of Bicomplex Numbers, Birkhäuser (2015).
- [3] M.E. Luna-Elizarrarás, M. Shapiro, D.C. Struppa, A. Vajiac, Bicomplex Numbers and their Elementary Functions, CUBO 14(2) (2012), 61-80. doi: http://dx.doi.org/10.4067/S0719-06462012000200004.
- [4] D. Rochon, M. Shapiro, On algebraic properties of bicomplex and hyperbolic numbers, Analele Universităţii Oradea, Fascicola Matematica 11 (2004), 71-110.
- [5] C. Segre, Le Rappresentazioni Reali delle Forme Complesse a Gli Enti Iperalgebrici, Mathematische Annalen 40 (1892), 413-467. doi: https://doi.org/10.1007/BF01443559.
- [6] A. Szynal-Liana, I. Włoch, On F(p, n)-Fibonacci Quaternions, submitted.
- [7] A. Włoch, On generalized Fibonacci numbers and k-distance Kp-matchings in graphs, Discrete Applied Mathematics 160 (2012), 1399-1405. doi: https://doi.org/10.1016/j.dam.2012.01.008.
- [8] A. Włoch, Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers, Applied Mathematics and Computation 219 (2013), 5564-5568. doi: https://doi.org/10.1016/j.amc.2012.11.030.
- [9] A. Włoch, Some interpretations of the generalized Fibonacci numbers, AKCE International Journal of Graphs and Combinatorics 9(2) (2012), 123-133.
- [10] I. Włoch, Generalized Fibonacci polynomial of graph, Ars Combinatoria 68 (2003), 49-55.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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