Closed-form expression for Hankel determinants of the Narayana polynomials. (English) Zbl 1249.11042
Summary: We consider a Hankel transform evaluation of Narayana and shifted Narayana polynomials. These polynomials arise from Narayana numbers and have many combinatorial properties. A tool mainly used for the evaluation is the method based on orthogonal polynomials. Furthermore, we provide 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.
MSC:
| 11B83 | Special sequences and polynomials |
| 33C45 | Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) |
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