Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Jacobsthal numbers

Sortuj według:

Ogranicz wyniki do:

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

On a new generalization of Jacobsthal quaternions and several identities involving these numbers

100%

Bród D., Szynal-Liana A.

Commentationes Mathematicae

2019

tom 59

nr 1-2

In this paper we generalize Jacobsthal quaternions to \((s,p)\)\dywiz Jacobsthal quaternions. We give some of their properties, among others the Binet formula, the generating function and the matrix representation of these quaternions. We will show how a~graph interpretation can be used in proving some identities for quaternions.

On split r-Jacobsthal quaternions

88%

Bród D.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2020

tom 74

nr 1

In this paper we introduce a one-parameter generalization of the split Jacobsthal quaternions, namely the split r-Jacobsthal quaternions. We give a generating function, Binet formula for these numbers. Moreover, we obtain some identities, among others Catalan, Cassini identities and convolution identity for the split r-Jacobsthal quaternions.

Ograniczanie wyników

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Commentationes Mathematicae

2 Bród D.

1 Szynal-Liana A.

1 2020

1 2019

Wyniki wyszukiwania

On a new generalization of Jacobsthal quaternions and several identities involving these numbers

On split r-Jacobsthal quaternions