Geodesic
A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials
The electronic journal of combinatorics, Tome 14 (2007)

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl EuDML
Combinatorial representation in terms of Schröder paths and other weighted plane paths are given of Laurent biorthogonal polynomials (LBPs) and a linear functional with which LBPs have orthogonality and biorthogonality. Particularly, it is clarified that quantities to which LBPs are mapped by the corresponding linear functional can be evaluated by enumerating certain kinds of Schröder paths, which imply orthogonality and biorthogonality of LBPs.
DOI : 10.37236/955
Classification : 05A15, 42C05, 33C45 
Shuhei Kamioka. A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/955
@article{10_37236_955,
     author = {Shuhei Kamioka},
     title = {A combinatorial representation with {Schr\"oder} paths of biorthogonality of {Laurent} biorthogonal polynomials},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/955},
     zbl = {1123.05008},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/955/}
}
TY  - JOUR
AU  - Shuhei Kamioka
TI  - A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials
JO  - The electronic journal of combinatorics
PY  - 2007
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.37236/955/
DO  - 10.37236/955
ID  - 10_37236_955
ER  - 
%0 Journal Article
%A Shuhei Kamioka
%T A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials
%J The electronic journal of combinatorics
%D 2007
%V 14
%U http://geodesic.mathdoc.fr/articles/10.37236/955/
%R 10.37236/955
%F 10_37236_955

Cité par Sources :