Closed-form expression for Hankel determinants of the Narayana polynomials
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Publication:2897343
DOI10.1007/s10587-012-0015-8zbMath1249.11042OpenAlexW2023794705MaRDI QIDQ2897343
Paul Barry, Marko D. Petković, Predrag M. Rajković
Publication date: 10 July 2012
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/246667
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83)
Related Items (6)
Hankel transform of a series reversion of a certain rational function ⋮ Bogoyavlensky lattices and generalized Catalan numbers ⋮ Laurent biorthogonal polynomials, \( q\)-Narayana polynomials and domino tilings of the Aztec diamonds ⋮ Sobolev orthogonal polynomials in computing of Hankel determinants ⋮ Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation ⋮ Ascending runs in permutations and valued Dyck paths
Uses Software
Cites Work
- A multilinear operator for almost product evaluation of Hankel determinants
- Proof of the Somos-4 Hankel determinants conjecture
- Identities involving Narayana polynomials and Catalan numbers
- On sums of powers of zeros of polynomials
- The Narayana distribution
- Determinants with orthogonal polynomial entries
- Hankel determinants and orthogonal polynomials.
- \(q\)-Narayana numbers and the flag \(h\)-vector of \(J(\text \textbf{2}\times {\mathbf n})\)
- A unified approach to polynomial sequences with only real zeros
- Aztec diamonds and digraphs, and Hankel determinants of Schröder numbers
- Advanced determinant calculus: a complement
- The Hankel transform of the sum of consecutive generalized Catalan numbers
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