Geodesic
On some properties of bivariate Fibonacci and Lucas polynomials
Journal of integer sequences, Tome 11 (2008) no. 2
In this paper we generalize to bivariate Fibonacci and Lucas polynomials, properties obtained for Chebyshev polynomials. We prove that the coordinates of the bivariate polynomials over appropriate bases are families of integers satisfying remarkable recurrence relations.
Classification : 11B39, 11B37
Keywords: bivariate Fibonacci and Lucas polynomials, linear recurrences 
@article{JIS_2008__11_2_a2,
     author = {Belbachir,  Hac\`ene and Bencherif,  Farid},
     title = {On some properties of bivariate {Fibonacci} and {Lucas} polynomials},
     journal = {Journal of integer sequences},
     year = {2008},
     volume = {11},
     number = {2},
     zbl = {1211.11019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a2/}
}
TY  - JOUR
AU  - Belbachir,  Hacène
AU  - Bencherif,  Farid
TI  - On some properties of bivariate Fibonacci and Lucas polynomials
JO  - Journal of integer sequences
PY  - 2008
VL  - 11
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a2/
LA  - en
ID  - JIS_2008__11_2_a2
ER  - 
%0 Journal Article
%A Belbachir,  Hacène
%A Bencherif,  Farid
%T On some properties of bivariate Fibonacci and Lucas polynomials
%J Journal of integer sequences
%D 2008
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a2/
%G en
%F JIS_2008__11_2_a2
Belbachir,  Hacène; Bencherif,  Farid. On some properties of bivariate Fibonacci and Lucas polynomials. Journal of integer sequences, Tome 11 (2008) no. 2. http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a2/