A new generalized Cassini determinant
Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 209-218
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We extend the notion of Cassini determinant to recently introduced hyperfibonacci sequences. We find the $Q$-matrix for the $r$th generation hyperfibonacci numbers and prove an explicit expression of the Cassini determinant for these sequences.
Keywords:
extend notion cassini determinant recently introduced hyperfibonacci sequences q matrix rth generation hyperfibonacci numbers prove explicit expression cassini determinant these sequences
Affiliations des auteurs :
Ivica Martinjak 1 ; Igor Urbiha 2
@article{10_4064_cm6756_11_2015,
author = {Ivica Martinjak and Igor Urbiha},
title = {A new generalized {Cassini} determinant},
journal = {Colloquium Mathematicum},
pages = {209--218},
publisher = {mathdoc},
volume = {145},
number = {2},
year = {2016},
doi = {10.4064/cm6756-11-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6756-11-2015/}
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TY - JOUR AU - Ivica Martinjak AU - Igor Urbiha TI - A new generalized Cassini determinant JO - Colloquium Mathematicum PY - 2016 SP - 209 EP - 218 VL - 145 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm6756-11-2015/ DO - 10.4064/cm6756-11-2015 LA - en ID - 10_4064_cm6756_11_2015 ER -
Ivica Martinjak; Igor Urbiha. A new generalized Cassini determinant. Colloquium Mathematicum, Tome 145 (2016) no. 2, pp. 209-218. doi: 10.4064/cm6756-11-2015
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