Geodesic
$q$-Stern Polynomials as Numerators of Continued Fractions
Toufik Mansour1
1 Department of Mathematics University of Haifa 3498838 Haifa, Israel
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) no. 1, pp. 11-18.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We present a $q$-analogue for the fact that the $n$th Stern polynomial $B_n(t)$ in the sense of Klav\v zar, Milutinović and Petr [Adv. Appl. Math. 39 (2007)] is the numerator of a continued fraction of $n$ terms. Moreover, we give a combinatorial interpretation for our $q$-analogue.
DOI : 10.4064/ba63-1-2
Keywords: present q analogue the nth stern polynomial sense klav milutinovi petr adv appl math numerator continued fraction terms moreover combinatorial interpretation q analogue

Toufik Mansour 1

1 Department of Mathematics University of Haifa 3498838 Haifa, Israel 
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Toufik Mansour. $q$-Stern Polynomials as Numerators of Continued Fractions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) no. 1, pp. 11-18. doi : 10.4064/ba63-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ba63-1-2/

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