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Acta Universitatis Sapientiae, Mathematica
Volume 13 (2021): Issue 1 (August 2021)
Open Access
On a new one-parameter generalization of dual-complex Jacobsthal numbers
Dorota Bród
Dorota Bród
,
Anetta Szynal-Liana
Anetta Szynal-Liana
and
Iwona Włoch
Iwona Włoch
| Aug 26, 2021
Acta Universitatis Sapientiae, Mathematica
Volume 13 (2021): Issue 1 (August 2021)
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Published Online:
Aug 26, 2021
Page range:
127 - 144
Received:
Dec 21, 2020
DOI:
https://doi.org/10.2478/ausm-2021-0007
Keywords
Jacobsthal numbers
,
dual-complex numbers
,
dual-complex Jacobsthal numbers
,
Binet formula
,
Catalan identity
,
Cassini identity
© 2021 Dorota Bród et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Dorota Bród
Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics
Rzeszów, Poland
Anetta Szynal-Liana
Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics
Rzeszów, Poland
Iwona Włoch
Rzeszow University of Technology, The Faculty of Mathematics and Applied Physics
Rzeszów, Poland