Geodesic
A new class of \(q\)-Fibonacci polynomials
The electronic journal of combinatorics, Tome 10 (2003)
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We introduce a new $q$-analogue of the Fibonacci polynomials and derive some of its properties. Extra attention is paid to a special case which has some interesting connections with Euler's pentagonal number theorem.
DOI : 10.37236/1712
Classification : 05A30, 11B39, 05A19
Mots-clés : \(q\)-Fibonacci polynomial, Morse code sequence, noncommutative Fibonacci polynomial, Catalan number, recursion formula, generating function 
@article{10_37236_1712,
     author = {Johann Cigler},
     title = {A new class of {\(q\)-Fibonacci} polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2003},
     volume = {10},
     doi = {10.37236/1712},
     zbl = {1027.05006},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1712/}
}
TY  - JOUR
AU  - Johann Cigler
TI  - A new class of \(q\)-Fibonacci polynomials
JO  - The electronic journal of combinatorics
PY  - 2003
VL  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1712/
DO  - 10.37236/1712
ID  - 10_37236_1712
ER  - 
%0 Journal Article
%A Johann Cigler
%T A new class of \(q\)-Fibonacci polynomials
%J The electronic journal of combinatorics
%D 2003
%V 10
%U http://geodesic.mathdoc.fr/articles/10.37236/1712/
%R 10.37236/1712
%F 10_37236_1712
Johann Cigler. A new class of \(q\)-Fibonacci polynomials. The electronic journal of combinatorics, Tome 10 (2003). doi: 10.37236/1712

Cité par Sources :