Hankel determinants of linear combinations of moments of orthogonal polynomials
DOI10.1142/S1793042120400321zbMath1471.11119arXiv2003.01676OpenAlexW3117283353MaRDI QIDQ5857389
Johann Cigler, Christian Krattenthaler
Publication date: 1 April 2021
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.01676
Chebyshev polynomialsFibonacci numbersLucas numbersMotzkin pathsDyck pathsHankel determinantsCatalan numbersMotzkin numbersSchröder numbersRogers-Szegő polynomialsRiordan numberscentral binomial coefficientsmoments of orthogonal polynomialsnon-intersecting lattice pathsfine numberscentral trinomial numbers
Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Matrices, determinants in number theory (11C20)
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