Fibonacci polynominals of order k
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 6 (2014) no. 1, pp. 95-100
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In this paper, we give formulas determining the Fibonacci polynomials of order k using the so-called generalized Newton symbols, i.e., the coefficients in the expansion of (1+z +z^2 +. . .+z^k−1)n with respect to the powers of z.
Keywords:
Fibonacci polynominals, Fibonacci numbers, Pell numbers, polynomial, coefficients
@article{AUPCDM_2014_6_1_a6,
author = {G\'orowski, Jan and {\L}omnicki, Adam},
title = {Fibonacci polynominals of order k},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia},
pages = {95--100},
year = {2014},
volume = {6},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPCDM_2014_6_1_a6/}
}
TY - JOUR AU - Górowski, Jan AU - Łomnicki, Adam TI - Fibonacci polynominals of order k JO - Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia PY - 2014 SP - 95 EP - 100 VL - 6 IS - 1 UR - http://geodesic.mathdoc.fr/item/AUPCDM_2014_6_1_a6/ LA - en ID - AUPCDM_2014_6_1_a6 ER -
Górowski, Jan; Łomnicki, Adam. Fibonacci polynominals of order k. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 6 (2014) no. 1, pp. 95-100. http://geodesic.mathdoc.fr/item/AUPCDM_2014_6_1_a6/