Some new results for the generalized bivariate Fibonacci and Lucas polynomials
Mathematica Moravica, Tome 28 (2024) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials. Also, general summation formulas, different generating functions, and relations of these polynomials are presented.
Mots-clés :
Binomial, Fibonacci polynomials, generating function, Lucas polynomials.
@article{MM3_2024_28_1_a7, author = {Nazmiye Y{\i}lmaz}, title = {Some new results for the generalized bivariate {Fibonacci} and {Lucas} polynomials}, journal = {Mathematica Moravica}, pages = {97 - 108}, publisher = {mathdoc}, volume = {28}, number = {1}, year = {2024}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2024_28_1_a7/} }
Nazmiye Yılmaz. Some new results for the generalized bivariate Fibonacci and Lucas polynomials. Mathematica Moravica, Tome 28 (2024) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2024_28_1_a7/