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On F(p, n) - Fibonacci quaternions

100%
Szynal-Liana A., Włoch I.
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
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2018
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vol. 68
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issue 1
PL
https://doi.org/10.26485/0459-6854/2018/68.1/9 W pracy wprowadzamy i badamy jednoparametrowe uogólnienie kwaternionów Fibonacciego. Podajemy własności kwaternionów F(p, n) Fibonacciego, a także uogólnienia klasycznych wyników dla kwaternionów Fibonacciego.
EN
https://doi.org/10.26485/0459-6854/2018/68.1/9 In this paper we introduce and study a special one-parameter generalization of Fibonacci quaternions. We investigate their properties and we give generalizations of some classical results for Fibonacci quaternions.
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On some kind of numbers of the Fibonacci type and their applications for bicomplex numbers

81%
Liana M., Szynal-Liana A., Włoch I.
Bulletin de la Société des Sciences et des Lettres de Łódź, Série: Recherches sur les déformations
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2019
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vol. 69
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issue 1
129-138
PL
W pracy pokazane zostało zastosowanie pewnego rodzaju liczb typu Fibonacciego w teorii liczb dwuzespolonych.
EN
In this paper we introduce a special kind of numbers of the Fibonacci type and we show some their applications in the theory of bicomplex numbers.
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