Geodesic
Diagonal Functions of the k-Pell and k-Pell-Lucas Polynomials and some identities
Paula M. M. C. Catarino1 ; Paula M. M. C. Catarino
1Department of Mathematics University of Trás-os-Montes e Alto Douro
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 147-159 
Paula M. M. C. Catarino; Paula M. M. C. Catarino. Diagonal Functions of the k-Pell and k-Pell-Lucas Polynomials and some identities. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 1, pp. 147-159. http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a12/
@article{AMUC_2018_87_1_a12,
     author = {Paula M. M. C. Catarino and Paula M. M. C. Catarino},
     title = { Diagonal {Functions} of the {k-Pell} and {k-Pell-Lucas} {Polynomials} and some identities},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {147--159},
     year = {2018},
     volume = {87},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_1_a12/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, rising and descending diagonal functions of $k$-Pell and the $k$-Pell-Lucas polynomials are introduced and generating functions is provided. Some identities are also studied.