The k-Fibonacci matrix and the Pascal matrix
Open Mathematics (2011)
- Volume: 9, Issue: 6, page 1403-1410
- ISSN: 2391-5455
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topSergio Falcon. "The k-Fibonacci matrix and the Pascal matrix." Open Mathematics 9.6 (2011): 1403-1410. <http://eudml.org/doc/269217>.
@article{SergioFalcon2011,
abstract = {We define the k-Fibonacci matrix as an extension of the classical Fibonacci matrix and relationed with the k-Fibonacci numbers. Then we give two factorizations of the Pascal matrix involving the k-Fibonacci matrix and two new matrices, L and R. As a consequence we find some combinatorial formulas involving the k-Fibonacci numbers.},
author = {Sergio Falcon},
journal = {Open Mathematics},
keywords = {Pascal matrix; k-Fibonacci numbers; Factorization of a matrix; -Fibonacci matrices; -Fibonacci numbers; factorization},
language = {eng},
number = {6},
pages = {1403-1410},
title = {The k-Fibonacci matrix and the Pascal matrix},
url = {http://eudml.org/doc/269217},
volume = {9},
year = {2011},
}
TY - JOUR
AU - Sergio Falcon
TI - The k-Fibonacci matrix and the Pascal matrix
JO - Open Mathematics
PY - 2011
VL - 9
IS - 6
SP - 1403
EP - 1410
AB - We define the k-Fibonacci matrix as an extension of the classical Fibonacci matrix and relationed with the k-Fibonacci numbers. Then we give two factorizations of the Pascal matrix involving the k-Fibonacci matrix and two new matrices, L and R. As a consequence we find some combinatorial formulas involving the k-Fibonacci numbers.
LA - eng
KW - Pascal matrix; k-Fibonacci numbers; Factorization of a matrix; -Fibonacci matrices; -Fibonacci numbers; factorization
UR - http://eudml.org/doc/269217
ER -
References
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