Closed-form expression for Hankel determinants of the Narayana polynomials
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 39-57.

Voir la notice de l'article dans Czech Digital Mathematics Library

We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation of Narayana and shifted Narayana polynomials.
DOI : 10.1007/s10587-012-0015-8
Classification : 11B83, 11Y55, 33C45, 34A25
Mots-clés : Narayana numbers; Hankel transform; orthogonal polynomials
@article{10_1007_s10587_012_0015_8,
     author = {Petkovi\'c, Marko D. and Barry, Paul and Rajkovi\'c, Predrag},
     title = {Closed-form expression for {Hankel} determinants of the {Narayana} polynomials},
     journal = {Czechoslovak Mathematical Journal},
     pages = {39--57},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {2012},
     doi = {10.1007/s10587-012-0015-8},
     mrnumber = {2899733},
     zbl = {1249.11042},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0015-8/}
}
TY  - JOUR
AU  - Petković, Marko D.
AU  - Barry, Paul
AU  - Rajković, Predrag
TI  - Closed-form expression for Hankel determinants of the Narayana polynomials
JO  - Czechoslovak Mathematical Journal
PY  - 2012
SP  - 39
EP  - 57
VL  - 62
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0015-8/
DO  - 10.1007/s10587-012-0015-8
LA  - en
ID  - 10_1007_s10587_012_0015_8
ER  - 
%0 Journal Article
%A Petković, Marko D.
%A Barry, Paul
%A Rajković, Predrag
%T Closed-form expression for Hankel determinants of the Narayana polynomials
%J Czechoslovak Mathematical Journal
%D 2012
%P 39-57
%V 62
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0015-8/
%R 10.1007/s10587-012-0015-8
%G en
%F 10_1007_s10587_012_0015_8
Petković, Marko D.; Barry, Paul; Rajković, Predrag. Closed-form expression for Hankel determinants of the Narayana polynomials. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 39-57. doi : 10.1007/s10587-012-0015-8. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-012-0015-8/

Cité par Sources :