Geodesic
On some properties of bivariate Fibonacci and Lucas polynomials
Journal of integer sequences, Tome 11 (2008) no. 2.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2008__11_2_a2/}
}
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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/