Hankel determinants of some polynomials arising in combinatorial analysis

DOI10.1023/A:1019197311168zbMath0956.05016OpenAlexW203349441MaRDI QIDQ1587031

Jet Wimp

Publication date: 22 November 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019197311168

zbMATH Keywords

orthogonal polynomialsJacobi polynomialsGegenbauer polynomialsHermite polynomialsBernoulli numbersLaguerre polynomialsMeixner polynomialsBell numbersHankel determinantsderangement numbers\(q\)-ultraspherical polynomialsMeixner-Po

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Matrices, determinants in number theory (11C20)

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