The Hankel transform of generalized central trinomial coefficients and related sequences

DOI10.1080/10652469.2010.497998zbMath1228.11031OpenAlexW2050064042WikidataQ60692377 ScholiaQ60692377MaRDI QIDQ3074591

Marko D. Petković, Paul Barry, Predrag M. Rajković

Publication date: 9 February 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.497998

zbMATH Keywords

orthogonal polynomialsHankel transformRiordan arrayscentral trinomial coefficients

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Recurrences (11B37) Special sequences and polynomials (11B83)

Related Items (5)

Hankel transform of a series reversion of a certain rational function ⋮ Analytic aspects of generalized central trinomial coefficients ⋮ Orthogonal polynomials approach to the Hankel transform of sequences based on Motzkin numbers ⋮ Generalized harmonic numbers, Jacobi numbers and a Hankel determinant evaluation ⋮ Catalan-like number sequences and Hausdorff moment sequences

Cites Work

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• A multilinear operator for almost product evaluation of Hankel determinants
• Proof of the Somos-4 Hankel determinants conjecture
• On sums of powers of zeros of polynomials
• The Riordan group
• Riordan arrays and combinatorial sums
• Determinants with orthogonal polynomial entries
• Hankel determinants and orthogonal polynomials.
• 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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