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Closed-form expression for Hankel determinants of the Narayana polynomials |
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| Authors: | Marko D. Petkovi? Paul Barry Predrag Rajkovi? |
| Affiliation: | 1. Faculty of Sciences and Mathematics, University of Ni?, Vi?egradska 33, 18000, Ni?, Serbia 2. School of Science, Waterford Institute of Technology, Waterford, Ireland 3. Faculty of Mechanical Engineering, University of Ni?, Aleksandra Medvedeva 14, 18000, Ni?, Serbia |
| Abstract: | 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. |
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