q-Stern Polynomials as Numerators of Continued Fractions
Bulletin of the Polish Academy of Sciences. Mathematics (2015)
- Volume: 63, Issue: 1, page 11-18
- ISSN: 0239-7269
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topToufik Mansour. "q-Stern Polynomials as Numerators of Continued Fractions." Bulletin of the Polish Academy of Sciences. Mathematics 63.1 (2015): 11-18. <http://eudml.org/doc/281236>.
@article{ToufikMansour2015,
abstract = {We present a q-analogue for the fact that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, 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.},
author = {Toufik Mansour},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {stern polynomial; q-analogue; hyperbinary expansion; continued fraction},
language = {eng},
number = {1},
pages = {11-18},
title = {q-Stern Polynomials as Numerators of Continued Fractions},
url = {http://eudml.org/doc/281236},
volume = {63},
year = {2015},
}
TY - JOUR
AU - Toufik Mansour
TI - q-Stern Polynomials as Numerators of Continued Fractions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2015
VL - 63
IS - 1
SP - 11
EP - 18
AB - We present a q-analogue for the fact that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, 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.
LA - eng
KW - stern polynomial; q-analogue; hyperbinary expansion; continued fraction
UR - http://eudml.org/doc/281236
ER -
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