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
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/
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