Geodesic
Closed-form expression for Hankel determinants of the Narayana polynomials
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 39-57
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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.
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
Keywords: Narayana numbers; Hankel transform; orthogonal polynomials 
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     title = {Closed-form expression for {Hankel} determinants of the {Narayana} polynomials},
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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

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