Bivariate Gončarov polynomials and integer sequences

DOI10.1007/s11425-014-4827-xzbMath1299.05012OpenAlexW2262685638MaRDI QIDQ477132

Niraj Khare, Catherine Huafei Yan, Rudolph Alexander Lorentz

Publication date: 2 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4827-x

zbMATH Keywords

interpolationorder statisticsparking functionsGončarov polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items

Bivariate affine Gončarov polynomials ⋮ Multivariate delta Gončarov and Abel polynomials ⋮ Multivariate Difference Gon\v{c}arov Polynomials ⋮ Abel-Gontcharoff polynomials, parking trajectories and ruin probabilities ⋮ \(U\)-parking functions and \((p,q)\)-parking functions

Cites Work

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• A probabilistic interpretation of the Goncarov and related polynomials
• A natural interpolation of \(C^ k \)functions
• Multivariate Birkhoff interpolation
• Exact formulas for moments of sums of classical parking functions
• Expected sums of general parking functions
• A polytope related to empirical distributions, plane trees, parking functions, and the associahedron
• Gončarov polynomials and parking functions
• On an extension of Abel-Gontscharoff’s expansion formula
• Hyperplane arrangements, interval orders, and trees.
• An Occupancy Discipline and Applications
• Generalized parking functions, tree inversions, and multicolored graphs